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Trailing-Edge - PDP-10 Archives - decuslib10-06 - 43,50401/lin81.trn
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1                                            LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 1981 VERSION OF THE LINWOOD 40 VARIABLE, 1000 OBSERVATION PROGRAM

 REFER TO FITTING EQUATIONS TO DATA BY DANIEL AND WOOD, SECOND EDITION, WILEY PUBLISHER,
 FOR GLOSSARY OF TERMS, USER'S MANUAL, DETAILS OF CALCULATIONS AND INTERPRETATION OF RESULTS.

0FIRST     BROWNLEE

0                         CONTROL CARD INFORMATION                                               ORDER OF CARDS

 COL.  INPUT MAX. ITEM   (NOTE: BLANK ON CARD = 0)                             FIRST PROBLEM
  1-18            PROBLEM IDENTIFICATION.                                       1  CONTROL CARD.
 19-20   4        NUMBER OF INDEPENDENT VARIABLES READ IN                       2  FORMAT CARD(S), IF ANY.
                    (ALLOW SPACE FOR TRANSFORMATIONS).                          3  DELETE OBSERVATIONS CARD(S), IF ANY.
 21-22   3        NUMBER OF   DEPENDENT VARIABLES READ IN.                      4  INDICATOR-VARIABLE-OBSERVATIONS CARD(S), IF ANY.
         7    65  TOTAL NUMBER OF VARIABLES (BEFORE TRANSFORMATIONS, IF ANY).   5  TRANSFORMATION CARD(S), IF ANY.
    24   E        E CAUSES Y, FITTED Y AND RESIDUALS TO BE                      6  INFORMATION CARD(S) FOR PRINTOUT, IF ANY.
                      LISTED WITH AN E RATHER THAN AN F FORMAT.                 7  NAMES OF VARIABLES CARD(S) FOR PRINTOUT, IF ANY.
    25   1        1 DO TRANSFORMATIONS.                                         8  CP SELECTED SEARCH CARD(S), IF ANY.
    26   0        1 WEIGHT OBSERVATIONS. WEIGHT ENTERED IN LAST POSITION.       9  DATA CARDS (IF NOT READ FROM A FILE).
                  2 WEIGHT BY 1/VAR. OF OBSERVATION.  VARIANCE ENTERED.        10  END CARD (END IN COLUMNS 1 - 3 OF IDENTIFICATION
    27   0        1 LET B(0) = ZERO, OTHERWISE B(0) IS CALCULATED VALUE.            FIELD).  THE NUMBER OF END CARDS MUST EQUAL THE
    28   0        1 CHECK OBSERVATION NUMBER SEQUENCE.                              NUMBER OF CARDS PER OBSERVATION. (END CARDS
    29   0        1 CHECK SEQUENCE WITHIN OBSERVATION NUMBER.                       ARE NOT NEEDED IF DATA ARE READ FROM A FILE).
    30   0        1 DO BACK TRANSFORMATION OF DEPENDENT VARIABLE.              11  ESTIMATE OF VARIANCE CARD(S), IF ANY, FOR EACH
    31   0        1 PUNCH DATA FOR CONFIDENCE INTERVAL PROGRAM.                     DEPENDENT VARIABLE.
    32   0        0 LIST ALL INPUT DATA.
                  1 LIST ONLY 1ST OBSERVATION.
                  2 DO NOT LIST ANY INPUT DATA.                                SECOND PROBLEM
    33   0        0 LIST TRANSFORMATIONS AND ALL TRANSFORMED DATA.               IF DATA ARE REUSED FROM FIRST PROBLEM,
                  1 LIST TRANSFORMATIONS AND 1ST TRANSFORMED OBSERVATION.            DELETE THE FORMAT, DATA AND END CARDS.
                  2 DO NOT LIST TRANSFORMATIONS OR TRANSFORMED DATA.             IF NAMES ARE REUSED,
    34   0        1 DO NOT LIST SUMS OF VARIABLES.                                   DELETE THE NAME CARDS.
    35   0        1 DO NOT LIST RAW SUMS AND CROSS PRODUCTS WHEN B(O)=O.         IF DIFFERENT INPUT DATA AND NAMES,
    36   0        1 DO NOT LIST RESIDUAL SUMS AND CROSS PRODUCTS.                    REPEAT 1 - 11 ABOVE.
    37   0        1 DO NOT LIST MEANS AND ROOT MEAN SQUARES OF VARIABLES.
    38   0        1 DO NOT LIST SIMPLE CORRELATION COEFFICIENTS.         
    39   0        1 DO NOT LIST INVERSE MATRIX.
    40   0        1 DO NOT PRINT PLOTS OF RESIDUALS VS. FITTED Y.
                  2 PLOT (A) RESIDUALS AND (B) COMPONENT AND COMPONENT-
                     PLUS-RESIDUALS VS. EACH INDEPENDENT VARIABLE.
                  3 PLOT (A) RESIDUALS ONLY.
                  4 PLOT (B) COMPONENT AND COMPONENT-PLUS-RESIDUALS ONLY.
                  5 PLOT (B) BUT EXPAND SCALE TO FILL EACH PLOT.
                  TO OMIT PLOTS OF SPECIFIC INDEPENDENT VARIABLES, ON
                  THE TRANSFFORMATION CARDS PUT A 2 IN THE OMIT COLUMNS
                  OF THOSE VARIABLES.
    41   1        0 READ DATA WITH STANDARD FORMAT (A6, I4, I2, 10F6.3).
                  1 READ DATA WITH FORMAT TO BE READ, 1 CARD (72COL) ASSUMED.
                  2 READ DATA WITH READ DATA (REDATA) SUBROUTINE.
    42   0        0 DO NOT SAVE DATA FOR NEXT PROBLEM.
                  1 SAVE DATA FOR NEXT PROBLEM.
                  2 REUSE DATA FROM PREVIOUS PROBLEM.
 43-44   0        MAXIMUM NUMBER OF VARIABLES IN CP SEARCH IF GREATER THAN 12.
              18   STANDARD SEARCH,
              30   MODIFIED LEAPS AND BOUNDS SEARCH.
    45   0     8  NUMBER OF FORMAT CARDS IF GREATER THAN 1.
 46-47  12    12  NUMBER OF INFORMATION CARDS TO BE READ FOR DISPLAY ON
                   PRINTOUT IF DESIRED, 72 COL. EACH.
    48   1        1 READ NAMES OF VARIABLES FOR DISPLAY ON PRINTOUT.
                     NAMES IN SAME POSITIONS AS VARIABLES ON TRANSFORMATION
                     CARDS - COLS. 1-6, 11-16, - - - , 61-66.
                     NAMES ARE NOT MOVED, ONLY LISTED OR DELETED.
                  2 REUSE NAMES OF VARIABLES FROM PREVIOUS PROBLEM.
    49   6        CP SEARCH FOR CANDIDATE EQUATIONS.  USE ESTIMATE
                   OF VARIANCE (RMS) FROM:
                    1 FULL EQUATION,
                    2 SUBSET EQUATION WITH MINIMUM RMS VALUE, OR
                    3 ESTIMATE OF VARIANCE CARD, F16.8 FORMAT.
                    CP SEARCH BY MODIFIED LEAPS AND BOUNDS.
                    4 ESTIMATE RMS FROM 1 ABOVE,
                    5 ESTIMATE RMS FROM 2 ABOVE, OR
                    6 ESTIMATE RMS FROM 3 ABOVE.
    50   1     3  NUMBER OF CP SELECTED SEARCH CARDS TO BE READ.
                   KEYPUNCH WITH A 18(2X,I2) FORMAT IN ASCENDING ORDER
                   THE IDENTIFICATION NUMBER OF THE VARIABLES (AFTER
                   TRANSFORMATIONS) TO BE USED IN THAT SEARCH.
                   ALL OTHER VARIABLES WILL BE PLACED IN BASIC EQUATION.
                   IF THE TOTAL NUMBER OF VARIABLES TO BE SEARCHED IS
                   LARGE, GIVE TOTAL IN COLUMNS 43-44.
    51   0        1 LIST COMPONENT-EFFECT TABLE, REQUIRED X(I) PRECISION,
                     ESTIMATE OF STANDARD DEVIATION FROM NEAR NEIGHBORS,
                     AND FUNCTIONS OF FITTED Y.
                  2 LIST ONLY ESTIMATE OF STD. DEVIATION AND FUNCTIONS.
                  3 LIST ONLY FUNCTIONS OF FITTED Y.
 52-53   0        NUMBER OF FILE IF DATA ARE READ FROM SEPARATE FILE,
                   NO END CARD IF ONLY ONE SET OF DATA IS ON EACH FILE.
 54-55   0        NUMBER OF INDEPENDENT VARIABLES GREATER THAN THE 99
                   ALLOWED IN COLS 19-20.
 56-58   3        TO REDUCE PRINTOUT WITH MANY OBSERVATIONS,
                   NUMBER OF CENTRAL OBSERVATIONS AND RESIDUALS NOT
                   TO BE PRINTED.  THIS REQUIRES AN E IN COL 24.
    59   1        CROSS VERIFICATION OF MODEL AND COEFFICIENTS WITH A
                   SECOND SAMPLE OF DATA:
                    1 WRITE B(0) AND B(I)S ON FILE IN ONE PROBLEM
                       (TRANSFORMATIONS ARE NOT SAVED).
                    2 READ  B(0) AND B(I)S FROM FILE IN NEXT PROBLEM
                      WITH SECOND SET OF OBSERVATIONS.
    60   1     5  NUMBER OF DELETE-OBSERVATIONS CARDS.  KEYPUNCH
                   OBSERVATION NUMBER OF DATA TO BE DELETED IN ORDER READ
                   BY COMPUTER USING 7(I4,6X) FORMAT.
    61   1     5  NUMBER OF INDICATOR-VARIABLE-OBSERVATIONS CARDS.
                   USING A 7(I4,2X,I3,1X) FORMAT, KEYPUNCH OBSERVATION
                   NUMBER (IN ORDER READ) AND VARIABLE NUMBER (BEFORE
                   TRANSFORMATIONS) INTO WHICH A 1 IS TO BE INSERTED.
0PROBLEM HAS ONE EQUATION
0DATA READ WITH SPECIAL FORMAT
0FORMAT CARD 1 ( A6, I4, I2, 2F6.3, F5.2, F1.0, F6.3, 2F1.0 )                          
0BZERO = CALCULATED VALUE
0OBSERVATIONS TO BE DELETED
             22        
0OBSERVATIONS AND INDICATOR VARIABLES INTO WHICH A 1 IS TO BE INSERTED
             23   4    
0INFORMATION CARDS
           EXAMPLE OF SAVING COEFFICIENTS FOR CROSS VERIFICATION OF EQUATION,      
           REDUCING PRINTOUT (CENTRAL RESIDUALS AND OBSERVATIONS 10-12), E FORMAT, 
           DELETED OBSERVATION, INDICATOR-VARIABLE-OBSERVATION, AND CP FACTORIAL   
           SEARCH WITH GIVEN ESTIMATE OF VARIANCE.                                 
              OBSERVATION 22 DELETED FROM FIRST SET OF DATA, INCLUDED IN NEXT SET. 
           Y  = B(0) + B(1)X1 + B(2)X2 + B(3)X3 + B(4)X4                           
           Y  = 100( LOG(NUMBER OF DEATHS FROM HEART DISEASE PER 100,000 FOR MALES 
                        IN THE 55 TO 59 AGE GROUP) - 2 )                           
           X1 = 1000(TELEPHONES PER PERSON)                                        
           X2 = FAT CALORIES AS PER CENT OF TOTAL CALORIES                         
           X3 = ANIMAL PROTEIN CALORIES AS PER CENT TOTAL CALORIES                 
           X4 = INDICATOR VARIABLE, 1 FOR OBSERVATION 23 (U.N.), 0 OTHERWISE.      
0DATA TRANSFORMATIONS
        POSITION   CODE   OPERATION                 CONSTANT  LOCATION  OMIT  VARIABLE  NAME
            1             NONE                                    1      0        1     TELEPH
            2             NONE                                    2      0        2     F. CAL
            3             NONE                                    3      0        3     AP.CAL
            4             NONE                                    4      0        4     UN IND
            5        2    COMMON  LOG                             6      1                    
            6        8    ADD CONSTANT                -2.         7      1                    
            7        6    MULTIPLY BY CONSTANT        100.        7      0        5     DEATHS
0VARIABLES ON CP SELECTED SEARCH CARD(S).
              1           2           3        
0
1                                LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 FIRST     BROWNLEE


0DATA INPUT          4 INDEPENDENT VARIABLES    3 DEPENDENT VARIABLE(S)

 OBSV.  SEQ.   1-11-21    2-12-22    3-13-23    4-14-24    5-15-25    6-16-26    7-17-27    8-18-28    9-19-29   10-20-30
    1     0    124.000     33.000      8.000      0.000    646.000      0.000      0.000
    2     0     49.000     31.000      6.000      0.000    355.000      0.000      0.000
    3     0    181.000     38.000      8.000      0.000    631.000      0.000      0.000
    4     0      4.000     17.000      2.000      0.000    174.000      0.000      0.000
    5     0     22.000     20.000      4.000      0.000    603.000      0.000      0.000
    6     0    152.000     39.000      6.000      0.000    331.000      0.000      0.000
    7     0     75.000     30.000      7.000      0.000    759.000      0.000      0.000
    8     0     54.000     29.000      7.000      0.000    282.000      0.000      0.000
    9     0     43.000     35.000      6.000      0.000    316.000      0.000      0.000
   10     0     41.000     31.000      5.000      0.000    490.000      0.000      0.000
   11     0     17.000     23.000      4.000      0.000    457.000      0.000      0.000
   12     0     22.000     21.000      3.000      0.000    282.000      0.000      0.000
   13     0     16.000      8.000      3.000      0.000    174.000      0.000      0.000
   14     0     10.000     23.000      3.000      0.000    269.000      0.000      0.000
   15     0     63.000     37.000      6.000      0.000    240.000      0.000      0.000
   16     0    170.000     40.000      8.000      0.000    525.000      0.000      0.000
   17     0    125.000     38.000      6.000      0.000    257.000      0.000      0.000
   18     0     15.000     25.000      4.000      0.000    240.000      0.000      0.000
   19     0    221.000     39.000      7.000      0.000    331.000      0.000      0.000
   20     0    171.000     33.000      7.000      0.000    331.000      0.000      0.000
   21     0     97.000     38.000      6.000      0.000    457.000      0.000      0.000
 A VALUE OF 1.0 HAS BEEN PLACED IN VARIABLE  4 OF OBSERVATION     23
   23     0     87.000     30.000      5.000      1.000    776.000      0.000      0.000
0DATA TRANSFORMATIONS
        POSITION   CODE   OPERATION                 CONSTANT  LOCATION  OMIT  VARIABLE  NAME
            1             NONE                                    1      0        1     TELEPH
            2             NONE                                    2      0        2     F. CAL
            3             NONE                                    3      0        3     AP.CAL
            4             NONE                                    4      0        4     UN IND
            5        2    COMMON  LOG                             6      1                    
            6        8    ADD CONSTANT                -2.         7      1                    
            7        6    MULTIPLY BY CONSTANT        100.        7      0        5     DEATHS
0DATA AFTER TRANSFORMATIONS      THE FITTED EQUATION HAS  4 INDEPENDENT VARIABLES,  1 DEPENDENT VARIABLE(S)

            TELEPH      F. CAL      AP.CAL      UN IND      DEATHS      
 OBSV.     1-11-21     2-12-22     3-13-23     4-14-24     5-15-25     6-16-26     7-17-27     8-18-28     9-19-29    10-20-30
    1  1.24000E+02 3.30000E+01 8.00000E+00 0.00000E+00 8.10233E+01
    2  4.90000E+01 3.10000E+01 6.00000E+00 0.00000E+00 5.50228E+01
    3  1.81000E+02 3.80000E+01 8.00000E+00 0.00000E+00 8.00029E+01
    4  4.00000E+00 1.70000E+01 2.00000E+00 0.00000E+00 2.40549E+01
    5  2.20000E+01 2.00000E+01 4.00000E+00 0.00000E+00 7.80317E+01
    6  1.52000E+02 3.90000E+01 6.00000E+00 0.00000E+00 5.19828E+01
    7  7.50000E+01 3.00000E+01 7.00000E+00 0.00000E+00 8.80242E+01
    8  5.40000E+01 2.90000E+01 7.00000E+00 0.00000E+00 4.50249E+01
    9  4.30000E+01 3.50000E+01 6.00000E+00 0.00000E+00 4.99687E+01
   10  4.10000E+01 3.10000E+01 5.00000E+00 0.00000E+00 6.90196E+01
   11  1.70000E+01 2.30000E+01 4.00000E+00 0.00000E+00 6.59916E+01
   12  2.20000E+01 2.10000E+01 3.00000E+00 0.00000E+00 4.50249E+01
   13  1.60000E+01 8.00000E+00 3.00000E+00 0.00000E+00 2.40549E+01
   14  1.00000E+01 2.30000E+01 3.00000E+00 0.00000E+00 4.29752E+01
   15  6.30000E+01 3.70000E+01 6.00000E+00 0.00000E+00 3.80211E+01
   16  1.70000E+02 4.00000E+01 8.00000E+00 0.00000E+00 7.20159E+01
   17  1.25000E+02 3.80000E+01 6.00000E+00 0.00000E+00 4.09933E+01
   18  1.50000E+01 2.50000E+01 4.00000E+00 0.00000E+00 3.80211E+01
   19  2.21000E+02 3.90000E+01 7.00000E+00 0.00000E+00 5.19828E+01
   20  1.71000E+02 3.30000E+01 7.00000E+00 0.00000E+00 5.19828E+01
   21  9.70000E+01 3.80000E+01 6.00000E+00 0.00000E+00 6.59916E+01
   23  8.70000E+01 3.00000E+01 5.00000E+00 1.00000E+00 8.89862E+01
0SUMS OF VARIABLES
       1.75900E+03 6.58000E+02 1.21000E+02 1.00000E+00 1.24820E+03
0RESIDUAL SUMS OF SQUARES + CROSS PRODUCTS
    1  9.04810E+04
    2  8.93191E+03 1.50582E+03
    3  1.95450E+03 2.61000E+02 6.75000E+01
    4  7.04545E+00 9.09091E-02-5.00000E-01 9.54545E-01
    5  8.93019E+03 1.27891E+03 3.72718E+02 3.22499E+01 7.82405E+03
0OBSERVATIONS DELETED
            22
0MEANS OF VARIABLES
       7.99545E+01 2.99091E+01 5.50000E+00 4.54545E-02 5.67362E+01
0ROOT MEAN SQUARES OF VARIABLES
       6.56401E+01 8.46792E+00 1.79284E+00 2.13201E-01 1.93022E+01
0SIMPLE CORRELATION COEFFICIENTS, R(I,I PRIME)
    1        1.000
    2        0.765       1.000
    3        0.791       0.819       1.000
    4        0.024       0.002      -0.062       1.000
    5        0.336       0.373       0.513       0.373       1.000
0INVERSE, C(I,I PRIME)
    1        3.035
    2       -1.057       3.427
    3       -1.546      -1.976       3.858
    4       -0.166      -0.106       0.282       1.022
1                                      LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 FIRST     BROWNLEE  DEP VAR 1: DEATHS                      MIN Y =  2.405E+01  MAX Y =  8.899E+01  RANGE Y =  6.493E+01

                   EXAMPLE OF SAVING COEFFICIENTS FOR CROSS VERIFICATION OF EQUATION,      
                   REDUCING PRINTOUT (CENTRAL RESIDUALS AND OBSERVATIONS 10-12), E FORMAT, 
                   DELETED OBSERVATION, INDICATOR-VARIABLE-OBSERVATION, AND CP FACTORIAL   
                   SEARCH WITH GIVEN ESTIMATE OF VARIANCE.                                 
                      OBSERVATION 22 DELETED FROM FIRST SET OF DATA, INCLUDED IN NEXT SET. 
                   Y  = B(0) + B(1)X1 + B(2)X2 + B(3)X3 + B(4)X4                           
                   Y  = 100( LOG(NUMBER OF DEATHS FROM HEART DISEASE PER 100,000 FOR MALES 
                                IN THE 55 TO 59 AGE GROUP) - 2 )                           
                   X1 = 1000(TELEPHONES PER PERSON)                                        
                   X2 = FAT CALORIES AS PER CENT OF TOTAL CALORIES                         
                   X3 = ANIMAL PROTEIN CALORIES AS PER CENT TOTAL CALORIES                 
                   X4 = INDICATOR VARIABLE, 1 FOR OBSERVATION 23 (U.N.), 0 OTHERWISE.      
                   OBSERVATIONS DELETED:   22  
0IND.VAR(I)   NAME    COEF.B(I)      S.E. COEF.   T-VALUE   R(I)SQRD    MIN X(I)       MAX X(I)      RANGE X(I)  REL.INF.X(I)
      0              2.02254E+01      1.58E+01      1.3
      1     TELEPH  -6.76016E-02      9.13E-02      0.7      0.6705     4.000E+00      2.210E+02      2.170E+02      0.23
      2     F. CAL  -2.98541E-01      7.52E-01      0.4      0.7082     8.000E+00      4.000E+01      3.200E+01      0.15
      3     AP.CAL   8.92234E+00      3.77E+00      2.4      0.7408     2.000E+00      8.000E+00      6.000E+00      0.82
      4     UN IND   3.89866E+01      1.63E+01      2.4      0.0214     0.000E+00      1.000E+00      1.000E+00      0.60
0NO. OF OBSERVATIONS              22
 NO. OF IND. VARIABLES             4
 RESIDUAL DEGREES OF FREEDOM      17
 F-VALUE                           3.6
 RESIDUAL ROOT MEAN SQUARE        15.76802212
 RESIDUAL MEAN SQUARE            248.63052149
 RESIDUAL SUM OF SQUARES        4226.71886529
 TOTAL SUM OF SQUARES           7824.04773566
 MULT. CORREL. COEF. SQUARED        .4598
 ADJ. MULT. CORR. COEF. SQUARED     .3327
0*** COEFFICIENTS SAVED AS REQUESTED ***
0--------------ORDERED BY COMPUTER INPUT---------------    ----------------------ORDERED BY RESIDUALS-----------------------
 IDENT. OBS. NO.     OBS. Y      FITTED Y      RESIDUAL    OBS. NO.     OBS. Y      FITTED Y  ORDERED RESID. STUD.RESID. SEQ
 AUSTRL     1    8.1023E+01    7.3370E+01    7.6536E+00        5    7.8032E+01    4.8457E+01    2.9575E+01       2.0       1
 ASTRIA     2    5.5023E+01    6.1192E+01   -6.1694E+00        7    8.8024E+01    6.8655E+01    1.9369E+01       1.4       2
 CANADA     3    8.0003E+01    6.8024E+01    1.1979E+01       11    6.5992E+01    4.7899E+01    1.8093E+01       1.2       3
 CEYLON     4    2.4055E+01    3.2724E+01   -8.6696E+00       10    6.9020E+01    5.2811E+01    1.6209E+01       1.1       4
 CHILE      5    7.8032E+01    4.8457E+01    2.9575E+01        3    8.0003E+01    6.8024E+01    1.1979E+01       0.8       5
 DENMK      6    5.1983E+01    5.1841E+01    1.4190E-01       21    6.5992E+01    5.5858E+01    1.0134E+01       0.7       6
 FINLND     7    8.8024E+01    6.8655E+01    1.9369E+01        1    8.1023E+01    7.3370E+01    7.6536E+00       0.6       7
 FRANCE     8    4.5025E+01    7.0374E+01   -2.5349E+01       12    4.5025E+01    3.9236E+01    5.7891E+00       0.4       8
 GMANY      9    4.9969E+01    6.0404E+01   -1.0435E+01       16    7.2016E+01    6.8170E+01    3.8457E+00       0.3       9
 JAPAN     13    2.4055E+01    4.3522E+01   -1.9468E+01       19    5.1983E+01    5.6099E+01   -4.1159E+00      -0.3      13
 MEXICO    14    4.2975E+01    3.9450E+01    3.5253E+00        2    5.5023E+01    6.1192E+01   -6.1694E+00      -0.4      14
 NTHLDS    15    3.8021E+01    5.8455E+01   -2.0433E+01        4    2.4055E+01    3.2724E+01   -8.6696E+00      -0.6      15
 NWZEAL    16    7.2016E+01    6.8170E+01    3.8457E+00       20    5.1983E+01    6.1270E+01   -9.2873E+00      -0.7      16
 NORWAY    17    4.0993E+01    5.3965E+01   -1.2971E+01       18    3.8021E+01    4.7437E+01   -9.4161E+00      -0.6      17
 PORTGL    18    3.8021E+01    4.7437E+01   -9.4161E+00        9    4.9969E+01    6.0404E+01   -1.0435E+01      -0.7      18
 SWEDEN    19    5.1983E+01    5.6099E+01   -4.1159E+00       17    4.0993E+01    5.3965E+01   -1.2971E+01      -0.9      19
 SWITZD    20    5.1983E+01    6.1270E+01   -9.2873E+00       13    2.4055E+01    4.3522E+01   -1.9468E+01      -1.7      20
 UNKING    21    6.5992E+01    5.5858E+01    1.0134E+01       15    3.8021E+01    5.8455E+01   -2.0433E+01      -1.4      21
 U.N.      23    8.8986E+01    8.8986E+01    0.0000E+00        8    4.5025E+01    7.0374E+01   -2.5349E+01      -1.9      22
1 FIRST     BROWNLEE  DEP VAR 1: DEATHS                CUMULATIVE DISTRIBUTION OF RESIDUALS
                  .0002  .001  .005  .01 .02   .05  .1    .2   .3  .4  .5  .6  .7   .8    .9   .95  .98 .99 .995   .999
                    *-----*-------*--*---*-----*----*-----*----*---*---*---*---*----*-----*----*-----*---*--*-------*-----
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                    I                                                  '      +                                          I
      R             I                                                  '    +                                            I
      E             I                                                  '                                                 I
      S             I                                                  '   +                                             I
      I             I                                                  ' +                                               I
      D             I                                                  '                                                 I
      U             I                                                  '                                                 I
      A           0 I-------------------------------------------------++-------------------------------------------------I
      L             I                                                  '                                                 I
      S             I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                               +  '                                                 I
                    I                                                  '                                                 I
                    I                                             +    '                                                 I
                    I                                                  '                                                 I
                    I                                          + +     '                                                 I
                    I                                      + +         '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                   +              '                                                 I
                    I                                                  '                                                 I
                  N I                                                  '                                                 I
                  E I                                                  '                                                 I
                  G I                                                  '                                                 I
                  A I                                                  '                                                 I
                  T I                                +                 '                                                 I
                  I I                            +                     '                                                 I
                  V I                                                  '                                                 I
                  E I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                     +                            '                                                 I
                    *-----*-------*--*---*-----*----*-----*----*---*---*---*---*----*-----*----*-----*---*--*-------*-----
                  .0002  .001  .005  .01 .02   .05  .1    .2   .3  .4  .5  .6  .7   .8    .9   .95  .98 .99 .995   .999
                                                       CUMULATIVE FREQUENCY, NORMAL GRID
1 FIRST     BROWNLEE  DEP VAR 1: DEATHS                      RESIDUAL VS. FITTED Y
                  32.724                                            60.855                                            88.986
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                           +                                                                        I
                    I                                                                                                    I
                  P I                                                                                                    I
                  O I                                                                                                    I
                  S I                                                                                                    I
                  I I                                                                                                    I
                  T I                                                                                                    I
                  I I                                                                                                    I
                  V I                                                                                                    I
                  E I                                                               +                                    I
                    I                          +                                                                         I
                    I                                                                                                    I
                    I                                  +                                                                 I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                              +                                     I
                    I                                        +                                                           I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                       +                            I
      R             I          +                                                                                         I
      E             I                                                                                                    I
      S             I                                                              +                                     I
      I             I           +                                                                                        I
      D             I                                                                                                    I
      U             I                                                                                                    I
      A           0 I---------------------------------+-----------------------------------------------------------------+I
      L             I                                                                                                    I
      S             I                                                                                                    I
                    I                                                                                                    I
                    I                                        +                                                           I
                    I                                                                                                    I
                    I                                                 +                                                  I
                    I                                                                                                    I
                    I+                                                +                                                  I
                    I                         +                      +                                                   I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                    +                                                               I
                    I                                                                                                    I
                  N I                                                                                                    I
                  E I                                                                                                    I
                  G I                                                                                                    I
                  A I                                                                                                    I
                  T I                  +                                                                                 I
                  I I                                            +                                                       I
                  V I                                                                                                    I
                  E I                                                                                                    I
                    I                                                                                                    I
                    I                                                                  +                                 I
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                  32.724                                            60.855                                            88.986
                                                                   FITTED Y
1                                CP VALUES FOR THE SELECTION OF CANDIDATE SUBSET EQUATIONS

 FIRST     BROWNLEE   DEP VAR 1: DEATHS
0ESTIMATED VARIANCE USED TO CALCULATE CP VALUES =     235.00000000
0VARIABLES ON SELECTED SEARCH CARD        1       2       3  
                                     TELEPH  F. CAL  AP.CAL  
0

 NUMBER OF VARIABLES IN FULL EQUATION       4
 NUMBER OF VARIABLES TO BE SEARCHED         3
 NUMBER OF VARIABLES IN BASIC EQUATION      1


0BASIC SET OF VARIABLES                   4  
                                     UN IND  
0

 EQUATION   P   CP        RMS         VARIABLES IN ADDITION TO THOSE IN BASIC EQUATION
0  BASIC    2   9.1     336.72318
0      1    3   3.1     235.62449                    AP.CAL  
0      2    4   4.2     236.99366    TELEPH          AP.CAL  
0      3    4   4.6     242.38715            F. CAL  AP.CAL  
0      4    5   6.0     248.63052    TELEPH  F. CAL  AP.CAL  
1                                CP VALUES FOR THE SELECTION OF CANDIDATE SUBSET EQUATIONS

 FIRST     BROWNLEE   DEP VAR 1: DEATHS
0EQUATION   P   CP        RMS
0  BASIC    2   9.1     336.72318
0                                    IND.VAR(I)   NAME    COEF.B(I)     T-VALUE   R(I)SQRD
                                          4     UN IND   3.37856E+01      1.8      0.0000
0                                                 B(0)   5.52005E+01
 
0      1    3   3.1     235.62449
0                                    IND.VAR(I)   NAME    COEF.B(I)     T-VALUE   R(I)SQRD
                                          3     AP.CAL   5.79450E+00      3.1      0.0039
                                          4     UN IND   3.68208E+01      2.3      0.0039
0                                                 B(0)   2.31928E+01
 
0      2    4   4.2     236.99366
0                                    IND.VAR(I)   NAME    COEF.B(I)     T-VALUE   R(I)SQRD
                                          1     TELEPH  -7.94778E-02      0.9      0.6309
                                          3     AP.CAL   8.10915E+00      2.6      0.6321
                                          4     UN IND   3.86199E+01      2.4      0.0182
0                                                 B(0)   1.67351E+01
 
0      3    4   4.6     242.38715
0                                    IND.VAR(I)   NAME    COEF.B(I)     T-VALUE   R(I)SQRD
                                          2     F. CAL  -4.80991E-01      0.7      0.6731
                                          3     AP.CAL   7.66191E+00      2.3      0.6743
                                          4     UN IND   3.78448E+01      2.4      0.0125
0                                                 B(0)   2.72615E+01
 
0      4    5   6.0     248.63052
0                                    IND.VAR(I)   NAME    COEF.B(I)     T-VALUE   R(I)SQRD
                                          1     TELEPH  -6.76016E-02      0.7      0.6705
                                          2     F. CAL  -2.98541E-01      0.4      0.7082
                                          3     AP.CAL   8.92234E+00      2.4      0.7408
                                          4     UN IND   3.89866E+01      2.4      0.0214
0                                                 B(0)   2.02254E+01
 
0

                  5 FITTED EQUATIONS
1ESTIMATE OF VARIANCE
0RMS OF FULL EQUATION          248.63052149
 RMS OF SUBSET EQUATION   1    235.62448686
 ESTIMATED VARIANCE USED TO CALCULATE CP VALUES
0

  SEQ  EQUATION  P  ORDERED CP
    1       1    3      3.1
    2       2    4      4.2
    3       3    4      4.6
    4       4    5      6.0
1 FIRST     BROWNLEE  DEP VAR 1: DEATHS                             CP PLOT
                     0    1    2    3    4    5    6    7    8    9   10   11   12   13   14   15   16   17   18   19   20
                     *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                  17 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  16 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  15 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  14 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  13 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  12 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  11 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  10 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                   9 I                                                                                                    I
          CP         I                                                                                                    I
                     I                                                                                                    I
                   8 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                   7 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                   6 I                        +                                                                           I
                     I                                                                                                    I
                     I                                                                                                    I
                   5 I                                                                                                    I
                     I                   +                                                                                I
                     I                                                                                                    I
                   4 I                   +                                                                                I
                     I                                                                                                    I
                     I                                                                                                    I
                   3 I              +                                                                                     I
                     I                                                                                                    I
                     I                                                                                                    I
                   2 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                   1 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                   0 *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                     0    1    2    3    4    5    6    7    8    9   10   11   12   13   14   15   16   17   18   19   20
                                                                       P
1                                            LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 1981 VERSION OF THE LINWOOD 40 VARIABLE, 1000 OBSERVATION PROGRAM

 REFER TO FITTING EQUATIONS TO DATA BY DANIEL AND WOOD, SECOND EDITION, WILEY PUBLISHER,
 FOR GLOSSARY OF TERMS, USER'S MANUAL, DETAILS OF CALCULATIONS AND INTERPRETATION OF RESULTS.

0NEXT      BROWNLEE

0                         CONTROL CARD INFORMATION                                               ORDER OF CARDS

 COL.  INPUT MAX. ITEM   (NOTE: BLANK ON CARD = 0)                             FIRST PROBLEM
  1-18            PROBLEM IDENTIFICATION.                                       1  CONTROL CARD.
 19-20   4        NUMBER OF INDEPENDENT VARIABLES READ IN                       2  FORMAT CARD(S), IF ANY.
                    (ALLOW SPACE FOR TRANSFORMATIONS).                          3  DELETE OBSERVATIONS CARD(S), IF ANY.
 21-22   3        NUMBER OF   DEPENDENT VARIABLES READ IN.                      4  INDICATOR-VARIABLE-OBSERVATIONS CARD(S), IF ANY.
         7    65  TOTAL NUMBER OF VARIABLES (BEFORE TRANSFORMATIONS, IF ANY).   5  TRANSFORMATION CARD(S), IF ANY.
    24            E CAUSES Y, FITTED Y AND RESIDUALS TO BE                      6  INFORMATION CARD(S) FOR PRINTOUT, IF ANY.
                      LISTED WITH AN E RATHER THAN AN F FORMAT.                 7  NAMES OF VARIABLES CARD(S) FOR PRINTOUT, IF ANY.
    25   1        1 DO TRANSFORMATIONS.                                         8  CP SELECTED SEARCH CARD(S), IF ANY.
    26   0        1 WEIGHT OBSERVATIONS. WEIGHT ENTERED IN LAST POSITION.       9  DATA CARDS (IF NOT READ FROM A FILE).
                  2 WEIGHT BY 1/VAR. OF OBSERVATION.  VARIANCE ENTERED.        10  END CARD (END IN COLUMNS 1 - 3 OF IDENTIFICATION
    27   0        1 LET B(0) = ZERO, OTHERWISE B(0) IS CALCULATED VALUE.            FIELD).  THE NUMBER OF END CARDS MUST EQUAL THE
    28   0        1 CHECK OBSERVATION NUMBER SEQUENCE.                              NUMBER OF CARDS PER OBSERVATION. (END CARDS
    29   0        1 CHECK SEQUENCE WITHIN OBSERVATION NUMBER.                       ARE NOT NEEDED IF DATA ARE READ FROM A FILE).
    30   0        1 DO BACK TRANSFORMATION OF DEPENDENT VARIABLE.              11  ESTIMATE OF VARIANCE CARD(S), IF ANY, FOR EACH
    31   0        1 PUNCH DATA FOR CONFIDENCE INTERVAL PROGRAM.                     DEPENDENT VARIABLE.
    32   0        0 LIST ALL INPUT DATA.
                  1 LIST ONLY 1ST OBSERVATION.
                  2 DO NOT LIST ANY INPUT DATA.                                SECOND PROBLEM
    33   0        0 LIST TRANSFORMATIONS AND ALL TRANSFORMED DATA.               IF DATA ARE REUSED FROM FIRST PROBLEM,
                  1 LIST TRANSFORMATIONS AND 1ST TRANSFORMED OBSERVATION.            DELETE THE FORMAT, DATA AND END CARDS.
                  2 DO NOT LIST TRANSFORMATIONS OR TRANSFORMED DATA.             IF NAMES ARE REUSED,
    34   0        1 DO NOT LIST SUMS OF VARIABLES.                                   DELETE THE NAME CARDS.
    35   0        1 DO NOT LIST RAW SUMS AND CROSS PRODUCTS WHEN B(O)=O.         IF DIFFERENT INPUT DATA AND NAMES,
    36   0        1 DO NOT LIST RESIDUAL SUMS AND CROSS PRODUCTS.                    REPEAT 1 - 11 ABOVE.
    37   0        1 DO NOT LIST MEANS AND ROOT MEAN SQUARES OF VARIABLES.
    38   0        1 DO NOT LIST SIMPLE CORRELATION COEFFICIENTS.         
    39   0        1 DO NOT LIST INVERSE MATRIX.
    40   0        1 DO NOT PRINT PLOTS OF RESIDUALS VS. FITTED Y.
                  2 PLOT (A) RESIDUALS AND (B) COMPONENT AND COMPONENT-
                     PLUS-RESIDUALS VS. EACH INDEPENDENT VARIABLE.
                  3 PLOT (A) RESIDUALS ONLY.
                  4 PLOT (B) COMPONENT AND COMPONENT-PLUS-RESIDUALS ONLY.
                  5 PLOT (B) BUT EXPAND SCALE TO FILL EACH PLOT.
                  TO OMIT PLOTS OF SPECIFIC INDEPENDENT VARIABLES, ON
                  THE TRANSFFORMATION CARDS PUT A 2 IN THE OMIT COLUMNS
                  OF THOSE VARIABLES.
    41   1        0 READ DATA WITH STANDARD FORMAT (A6, I4, I2, 10F6.3).
                  1 READ DATA WITH FORMAT TO BE READ, 1 CARD (72COL) ASSUMED.
                  2 READ DATA WITH READ DATA (REDATA) SUBROUTINE.
    42   0        0 DO NOT SAVE DATA FOR NEXT PROBLEM.
                  1 SAVE DATA FOR NEXT PROBLEM.
                  2 REUSE DATA FROM PREVIOUS PROBLEM.
 43-44   0        MAXIMUM NUMBER OF VARIABLES IN CP SEARCH IF GREATER THAN 12.
              18   STANDARD SEARCH,
              30   MODIFIED LEAPS AND BOUNDS SEARCH.
    45   0     8  NUMBER OF FORMAT CARDS IF GREATER THAN 1.
 46-47  10    12  NUMBER OF INFORMATION CARDS TO BE READ FOR DISPLAY ON
                   PRINTOUT IF DESIRED, 72 COL. EACH.
    48   1        1 READ NAMES OF VARIABLES FOR DISPLAY ON PRINTOUT.
                     NAMES IN SAME POSITIONS AS VARIABLES ON TRANSFORMATION
                     CARDS - COLS. 1-6, 11-16, - - - , 61-66.
                     NAMES ARE NOT MOVED, ONLY LISTED OR DELETED.
                  2 REUSE NAMES OF VARIABLES FROM PREVIOUS PROBLEM.
    49   0        CP SEARCH FOR CANDIDATE EQUATIONS.  USE ESTIMATE
                   OF VARIANCE (RMS) FROM:
                    1 FULL EQUATION,
                    2 SUBSET EQUATION WITH MINIMUM RMS VALUE, OR
                    3 ESTIMATE OF VARIANCE CARD, F16.8 FORMAT.
                    CP SEARCH BY MODIFIED LEAPS AND BOUNDS.
                    4 ESTIMATE RMS FROM 1 ABOVE,
                    5 ESTIMATE RMS FROM 2 ABOVE, OR
                    6 ESTIMATE RMS FROM 3 ABOVE.
    50   0     3  NUMBER OF CP SELECTED SEARCH CARDS TO BE READ.
                   KEYPUNCH WITH A 18(2X,I2) FORMAT IN ASCENDING ORDER
                   THE IDENTIFICATION NUMBER OF THE VARIABLES (AFTER
                   TRANSFORMATIONS) TO BE USED IN THAT SEARCH.
                   ALL OTHER VARIABLES WILL BE PLACED IN BASIC EQUATION.
                   IF THE TOTAL NUMBER OF VARIABLES TO BE SEARCHED IS
                   LARGE, GIVE TOTAL IN COLUMNS 43-44.
    51   0        1 LIST COMPONENT-EFFECT TABLE, REQUIRED X(I) PRECISION,
                     ESTIMATE OF STANDARD DEVIATION FROM NEAR NEIGHBORS,
                     AND FUNCTIONS OF FITTED Y.
                  2 LIST ONLY ESTIMATE OF STD. DEVIATION AND FUNCTIONS.
                  3 LIST ONLY FUNCTIONS OF FITTED Y.
 52-53   0        NUMBER OF FILE IF DATA ARE READ FROM SEPARATE FILE,
                   NO END CARD IF ONLY ONE SET OF DATA IS ON EACH FILE.
 54-55   0        NUMBER OF INDEPENDENT VARIABLES GREATER THAN THE 99
                   ALLOWED IN COLS 19-20.
 56-58   0        TO REDUCE PRINTOUT WITH MANY OBSERVATIONS,
                   NUMBER OF CENTRAL OBSERVATIONS AND RESIDUALS NOT
                   TO BE PRINTED.  THIS REQUIRES AN E IN COL 24.
    59   2        CROSS VERIFICATION OF MODEL AND COEFFICIENTS WITH A
                   SECOND SAMPLE OF DATA:
                    1 WRITE B(0) AND B(I)S ON FILE IN ONE PROBLEM
                       (TRANSFORMATIONS ARE NOT SAVED).
                    2 READ  B(0) AND B(I)S FROM FILE IN NEXT PROBLEM
                      WITH SECOND SET OF OBSERVATIONS.
    60   0     5  NUMBER OF DELETE-OBSERVATIONS CARDS.  KEYPUNCH
                   OBSERVATION NUMBER OF DATA TO BE DELETED IN ORDER READ
                   BY COMPUTER USING 7(I4,6X) FORMAT.
    61   1     5  NUMBER OF INDICATOR-VARIABLE-OBSERVATIONS CARDS.
                   USING A 7(I4,2X,I3,1X) FORMAT, KEYPUNCH OBSERVATION
                   NUMBER (IN ORDER READ) AND VARIABLE NUMBER (BEFORE
                   TRANSFORMATIONS) INTO WHICH A 1 IS TO BE INSERTED.
0PROBLEM HAS ONE EQUATION
0DATA READ WITH SPECIAL FORMAT
0FORMAT CARD 1 ( A6, I4, I2, 2F6.3, F5.2, F1.0, F6.3, 2F1.0 )                          
0BZERO = CALCULATED VALUE
0OBSERVATIONS AND INDICATOR VARIABLES INTO WHICH A 1 IS TO BE INSERTED
             23   4    
0INFORMATION CARDS
           EXAMPLE OF CROSS VERIFICATION WITH SAVED COEFFICIENTS FROM FIT WITH     
           FIRST SET OF DATA.  THIS SECOND SET OF DATA CONTAINS USA, OBSERVATION   
           22, DELETED FROM FIRST SET OF DATA.                                     
           Y  = B(0) + B(1)X1 + B(2)X2 + B(3)X3 + B(4)X4                           
           Y  = 100( LOG(NUMBER OF DEATHS FROM HEART DISEASE PER 100,000 FOR MALES 
                        IN THE 55 TO 59 AGE GROUP) - 2 )                           
           X1 = 1000(TELEPHONES PER PERSON)                                        
           X2 = FAT CALORIES AS PER CENT OF TOTAL CALORIES                         
           X3 = ANIMAL PROTEIN CALORIES AS PER CENT TOTAL CALORIES                 
           X4 = INDICATOR VARIABLE, 1 FOR OBSERVATION 23 (U.N.), 0 OTHERWISE.      
0DATA TRANSFORMATIONS
        POSITION   CODE   OPERATION                 CONSTANT  LOCATION  OMIT  VARIABLE  NAME
            1             NONE                                    1      0        1     TELEPH
            2             NONE                                    2      0        2     F. CAL
            3             NONE                                    3      0        3     AP.CAL
            4             NONE                                    4      0        4     UN IND
            5        2    COMMON  LOG                             6      1                    
            6        8    ADD CONSTANT                -2.         7      1                    
            7        6    MULTIPLY BY CONSTANT        100.        7      0        5     DEATHS
0
1                                LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 NEXT      BROWNLEE


0DATA INPUT          4 INDEPENDENT VARIABLES    3 DEPENDENT VARIABLE(S)

 OBSV.  SEQ.   1-11-21    2-12-22    3-13-23    4-14-24    5-15-25    6-16-26    7-17-27    8-18-28    9-19-29   10-20-30
    1     0    124.000     33.000      8.000      0.000    646.000      0.000      0.000
    2     0     49.000     31.000      6.000      0.000    355.000      0.000      0.000
    3     0    181.000     38.000      8.000      0.000    631.000      0.000      0.000
    4     0      4.000     17.000      2.000      0.000    174.000      0.000      0.000
    5     0     22.000     20.000      4.000      0.000    603.000      0.000      0.000
    6     0    152.000     39.000      6.000      0.000    331.000      0.000      0.000
    7     0     75.000     30.000      7.000      0.000    759.000      0.000      0.000
    8     0     54.000     29.000      7.000      0.000    282.000      0.000      0.000
    9     0     43.000     35.000      6.000      0.000    316.000      0.000      0.000
   10     0     41.000     31.000      5.000      0.000    490.000      0.000      0.000
   11     0     17.000     23.000      4.000      0.000    457.000      0.000      0.000
   12     0     22.000     21.000      3.000      0.000    282.000      0.000      0.000
   13     0     16.000      8.000      3.000      0.000    174.000      0.000      0.000
   14     0     10.000     23.000      3.000      0.000    269.000      0.000      0.000
   15     0     63.000     37.000      6.000      0.000    240.000      0.000      0.000
   16     0    170.000     40.000      8.000      0.000    525.000      0.000      0.000
   17     0    125.000     38.000      6.000      0.000    257.000      0.000      0.000
   18     0     15.000     25.000      4.000      0.000    240.000      0.000      0.000
   19     0    221.000     39.000      7.000      0.000    331.000      0.000      0.000
   20     0    171.000     33.000      7.000      0.000    331.000      0.000      0.000
   21     0     97.000     38.000      6.000      0.000    457.000      0.000      0.000
   22     0    254.000     39.000      8.000      0.000    776.000      0.000      0.000
 A VALUE OF 1.0 HAS BEEN PLACED IN VARIABLE  4 OF OBSERVATION     23
   23     0     87.000     30.000      5.000      1.000    776.000      0.000      0.000
0DATA TRANSFORMATIONS
        POSITION   CODE   OPERATION                 CONSTANT  LOCATION  OMIT  VARIABLE  NAME
            1             NONE                                    1      0        1     TELEPH
            2             NONE                                    2      0        2     F. CAL
            3             NONE                                    3      0        3     AP.CAL
            4             NONE                                    4      0        4     UN IND
            5        2    COMMON  LOG                             6      1                    
            6        8    ADD CONSTANT                -2.         7      1                    
            7        6    MULTIPLY BY CONSTANT        100.        7      0        5     DEATHS
0DATA AFTER TRANSFORMATIONS      THE FITTED EQUATION HAS  4 INDEPENDENT VARIABLES,  1 DEPENDENT VARIABLE(S)

            TELEPH      F. CAL      AP.CAL      UN IND      DEATHS      
 OBSV.     1-11-21     2-12-22     3-13-23     4-14-24     5-15-25     6-16-26     7-17-27     8-18-28     9-19-29    10-20-30
    1  1.24000E+02 3.30000E+01 8.00000E+00 0.00000E+00 8.10233E+01
    2  4.90000E+01 3.10000E+01 6.00000E+00 0.00000E+00 5.50228E+01
    3  1.81000E+02 3.80000E+01 8.00000E+00 0.00000E+00 8.00029E+01
    4  4.00000E+00 1.70000E+01 2.00000E+00 0.00000E+00 2.40549E+01
    5  2.20000E+01 2.00000E+01 4.00000E+00 0.00000E+00 7.80317E+01
    6  1.52000E+02 3.90000E+01 6.00000E+00 0.00000E+00 5.19828E+01
    7  7.50000E+01 3.00000E+01 7.00000E+00 0.00000E+00 8.80242E+01
    8  5.40000E+01 2.90000E+01 7.00000E+00 0.00000E+00 4.50249E+01
    9  4.30000E+01 3.50000E+01 6.00000E+00 0.00000E+00 4.99687E+01
   10  4.10000E+01 3.10000E+01 5.00000E+00 0.00000E+00 6.90196E+01
   11  1.70000E+01 2.30000E+01 4.00000E+00 0.00000E+00 6.59916E+01
   12  2.20000E+01 2.10000E+01 3.00000E+00 0.00000E+00 4.50249E+01
   13  1.60000E+01 8.00000E+00 3.00000E+00 0.00000E+00 2.40549E+01
   14  1.00000E+01 2.30000E+01 3.00000E+00 0.00000E+00 4.29752E+01
   15  6.30000E+01 3.70000E+01 6.00000E+00 0.00000E+00 3.80211E+01
   16  1.70000E+02 4.00000E+01 8.00000E+00 0.00000E+00 7.20159E+01
   17  1.25000E+02 3.80000E+01 6.00000E+00 0.00000E+00 4.09933E+01
   18  1.50000E+01 2.50000E+01 4.00000E+00 0.00000E+00 3.80211E+01
   19  2.21000E+02 3.90000E+01 7.00000E+00 0.00000E+00 5.19828E+01
   20  1.71000E+02 3.30000E+01 7.00000E+00 0.00000E+00 5.19828E+01
   21  9.70000E+01 3.80000E+01 6.00000E+00 0.00000E+00 6.59916E+01
   22  2.54000E+02 3.90000E+01 8.00000E+00 0.00000E+00 8.89862E+01
   23  8.70000E+01 3.00000E+01 5.00000E+00 1.00000E+00 8.89862E+01
0SUMS OF VARIABLES
       2.01300E+03 6.97000E+02 1.29000E+02 1.00000E+00 1.33718E+03
0RESIDUAL SUMS OF SQUARES + CROSS PRODUCTS
    1  1.19456E+05
    2  1.04453E+04 1.58487E+03
    3  2.37070E+03 2.82739E+02 7.34783E+01
    4 -5.21739E-01-3.04348E-01-6.08696E-01 9.56522E-01
    5  1.42991E+04 1.55935E+03 4.49837E+02 3.08478E+01 8.81889E+03
0MEANS OF VARIABLES
       8.75217E+01 3.03043E+01 5.60870E+00 4.34783E-02 5.81384E+01
0ROOT MEAN SQUARES OF VARIABLES
       7.36872E+01 8.48761E+00 1.82755E+00 2.08514E-01 2.00214E+01
0SIMPLE CORRELATION COEFFICIENTS, R(I,I PRIME)
    1        1.000
    2        0.759       1.000
    3        0.800       0.829       1.000
    4       -0.002      -0.008      -0.073       1.000
    5        0.441       0.417       0.559       0.336       1.000
0INVERSE, C(I,I PRIME)
    1        3.044
    2       -0.913       3.491
    3       -1.689      -2.172       4.171
    4       -0.125      -0.132       0.283       1.019
1                                      LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 NEXT      BROWNLEE  DEP VAR 1: DEATHS                      MIN Y =  2.405E+01  MAX Y =  8.899E+01  RANGE Y =  6.493E+01

                   EXAMPLE OF CROSS VERIFICATION WITH SAVED COEFFICIENTS FROM FIT WITH     
                   FIRST SET OF DATA.  THIS SECOND SET OF DATA CONTAINS USA, OBSERVATION   
                   22, DELETED FROM FIRST SET OF DATA.                                     
                   Y  = B(0) + B(1)X1 + B(2)X2 + B(3)X3 + B(4)X4                           
                   Y  = 100( LOG(NUMBER OF DEATHS FROM HEART DISEASE PER 100,000 FOR MALES 
                                IN THE 55 TO 59 AGE GROUP) - 2 )                           
                   X1 = 1000(TELEPHONES PER PERSON)                                        
                   X2 = FAT CALORIES AS PER CENT OF TOTAL CALORIES                         
                   X3 = ANIMAL PROTEIN CALORIES AS PER CENT TOTAL CALORIES                 
                   X4 = INDICATOR VARIABLE, 1 FOR OBSERVATION 23 (U.N.), 0 OTHERWISE.      
0IND.VAR(I)   NAME    COEF.B(I)      S.E. COEF.   T-VALUE   R(I)SQRD    MIN X(I)       MAX X(I)      RANGE X(I)  REL.INF.X(I)
      0              2.39806E+01      1.60E+01      1.5
      1     TELEPH  -6.87054E-03      8.14E-02      0.1      0.6715     4.000E+00      2.540E+02      2.500E+02      0.03
      2     F. CAL  -4.80840E-01      7.57E-01      0.6      0.7136     8.000E+00      4.000E+01      3.200E+01      0.24
      3     AP.CAL   8.50465E+00      3.84E+00      2.2      0.7603     2.000E+00      8.000E+00      6.000E+00      0.79
      4     UN IND   3.75052E+01      1.67E+01      2.3      0.0190     0.000E+00      1.000E+00      1.000E+00      0.58
0NO. OF OBSERVATIONS              23
 NO. OF IND. VARIABLES             4
 RESIDUAL DEGREES OF FREEDOM      18
 F-VALUE                           4.0
 RESIDUAL ROOT MEAN SQUARE        16.13185806
 RESIDUAL MEAN SQUARE            260.23684450
 RESIDUAL SUM OF SQUARES        4684.26320100
 TOTAL SUM OF SQUARES           8818.88546632
 MULT. CORREL. COEF. SQUARED        .4688
 ADJ. MULT. CORR. COEF. SQUARED     .3508
0IND.VAR(I)   NAME    COEF.B(I)                                         MIN X(I)       MAX X(I)      RANGE X(I)  REL.INF.X(I)
0*** COEFFICIENTS FROM PREVIOUS FIT ***
      0              2.02254E+01     
      1     TELEPH  -6.76016E-02                                        4.000E+00      2.540E+02      2.500E+02      0.26
      2     F. CAL  -2.98541E-01                                        8.000E+00      4.000E+01      3.200E+01      0.15
      3     AP.CAL   8.92234E+00                                        2.000E+00      8.000E+00      6.000E+00      0.82
      4     UN IND   3.89866E+01                                        0.000E+00      1.000E+00      1.000E+00      0.60
1                                      LINEAR LEAST-SQUARES CURVE FITTING PROGRAM
0NEXT      BROWNLEE  DEP VAR 1: DEATHS
0FIT OF SECOND SAMPLE USING COEFFICIENTS FROM FIRST SAMPLE OF DATA
0NO. OF OBSERVATIONS              23
 NO. OF PARAMETERS                 5
 RESIDUAL DEGREES OF FREEDOM      18
 RESIDUAL ROOT MEAN SQUARE        16.99990815
 RESIDUAL MEAN SQUARE            288.99687695
 RESIDUAL SUM OF SQUARES        4912.94690819
 TOTAL SUM OF SQUARES           8818.88546632
 MULT. CORREL. COEF. SQUARED        .4429
0-----------------ORDERED BY COMPUTER INPUT--------- ---------   ---------------------ORDERED BY RESIDUALS---------------------
 IDENT.  OBSV. WSS DISTANCE OBS. Y     FITTED Y     RESIDUAL   OBSV.      OBS. Y     FITTED Y  ORDERED RESID. STUD.RESID. SEQ
 AUSTRL     1       2       81.023       73.370        7.654      5       78.032       48.457       29.575        1.8       1
 ASTRIA     2       0       55.023       61.192       -6.169     22       88.986       62.790       26.196        1.4       2
 CANADA     3       2       80.003       68.024       11.979      7       88.024       68.655       19.369        1.1       3
 CEYLON     4       4       24.055       32.724       -8.670     11       65.992       47.899       18.093        1.1       4
 CHILE      5       1       78.032       48.457       29.575     10       69.020       52.811       16.209        1.0       5
 DENMK      6       0       51.983       51.841        0.142      3       80.003       68.024       11.979        0.7       6
 FINLND     7       1       88.024       68.655       19.369     21       65.992       55.858       10.134        0.6       7
 FRANCE     8       1       45.025       70.374      -25.349      1       81.023       73.370        7.654        0.4       8
 GMANY      9       0       49.969       60.404      -10.435     12       45.025       39.236        5.789        0.3       9
 IRELND    10       0       69.020       52.811       16.209     16       72.016       68.170        3.846        0.2      10
 ISRAEL    11       1       65.992       47.899       18.093     14       42.975       39.450        3.525        0.2      11
 ITALY     12       2       45.025       39.236        5.789      6       51.983       51.841        0.142        0.0      12
 JAPAN     13       2       24.055       43.522      -19.468     23       88.986       88.986        0.000        0.0      13
 MEXICO    14       2       42.975       39.450        3.525     19       51.983       56.099       -4.116       -0.2      14
 NTHLDS    15       0       38.021       58.455      -20.433      2       55.023       61.192       -6.169       -0.4      15
 NWZEAL    16       2       72.016       68.170        3.846      4       24.055       32.724       -8.670       -0.5      16
 NORWAY    17       0       40.993       53.965      -12.971     20       51.983       61.270       -9.287       -0.5      17
 PORTGL    18       1       38.021       47.437       -9.416     18       38.021       47.437       -9.416       -0.6      18
 SWEDEN    19       1       51.983       56.099       -4.116      9       49.969       60.404      -10.435       -0.6      19
 SWITZD    20       1       51.983       61.270       -9.287     17       40.993       53.965      -12.971       -0.8      20
 UNKING    21       0       65.992       55.858       10.134     13       24.055       43.522      -19.468       -1.0      21
 U.S.A.    22       2       88.986       62.790       26.196     15       38.021       58.455      -20.433       -1.2      22
 U.N.      23       5       88.986       88.986        0.000      8       45.025       70.374      -25.349       -1.4      23
1 NEXT      BROWNLEE  DEP VAR 1: DEATHS                CUMULATIVE DISTRIBUTION OF RESIDUALS
                  .0002  .001  .005  .01 .02   .05  .1    .2   .3  .4  .5  .6  .7   .8    .9   .95  .98 .99 .995   .999
                    *-----*-------*--*---*-----*----*-----*----*---*---*---*---*----*-----*----*-----*---*--*-------*-----
                    I                                                  '                           +                     I
                    I                                                  '                                                 I
                  P I                                                  '                                                 I
                  O I                                                  '                    +                            I
                  S I                                                  '                                                 I
                  I I                                                  '                                                 I
                  T I                                                  '                                                 I
                  I I                                                  '                                                 I
                  V I                                                  '                                                 I
                  E I                                                  '                +                                I
                    I                                                  '             +                                   I
                    I                                                  '                                                 I
                    I                                                  '           +                                     I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '         +                                       I
                    I                                                  '       +                                         I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '     +                                           I
      R             I                                                  '   +                                             I
      E             I                                                  '                                                 I
      S             I                                                  '  +                                              I
      I             I                                                  '+                                                I
      D             I                                                  '                                                 I
      U             I                                                  '                                                 I
      A           0 I------------------------------------------------++--------------------------------------------------I
      L             I                                                  '                                                 I
      S             I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                              +   '                                                 I
                    I                                                  '                                                 I
                    I                                             +    '                                                 I
                    I                                                  '                                                 I
                    I                                         + +      '                                                 I
                    I                                     + +          '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                   +              '                                                 I
                    I                                                  '                                                 I
                  N I                                                  '                                                 I
                  E I                                                  '                                                 I
                  G I                                                  '                                                 I
                  A I                                                  '                                                 I
                  T I                                +                 '                                                 I
                  I I                            +                     '                                                 I
                  V I                                                  '                                                 I
                  E I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                     +                            '                                                 I
                    *-----*-------*--*---*-----*----*-----*----*---*---*---*---*----*-----*----*-----*---*--*-------*-----
                  .0002  .001  .005  .01 .02   .05  .1    .2   .3  .4  .5  .6  .7   .8    .9   .95  .98 .99 .995   .999
                                                       CUMULATIVE FREQUENCY, NORMAL GRID
1 NEXT      BROWNLEE  DEP VAR 1: DEATHS                      RESIDUAL VS. FITTED Y
                  32.724                                            60.855                                            88.986
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                           +                                                                        I
                    I                                                                                                    I
                  P I                                                                                                    I
                  O I                                                    +                                               I
                  S I                                                                                                    I
                  I I                                                                                                    I
                  T I                                                                                                    I
                  I I                                                                                                    I
                  V I                                                                                                    I
                  E I                                                               +                                    I
                    I                          +                                                                         I
                    I                                                                                                    I
                    I                                  +                                                                 I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                              +                                     I
                    I                                        +                                                           I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                       +                            I
      R             I          +                                                                                         I
      E             I                                                                                                    I
      S             I                                                              +                                     I
      I             I           +                                                                                        I
      D             I                                                                                                    I
      U             I                                                                                                    I
      A           0 I---------------------------------+-----------------------------------------------------------------+I
      L             I                                                                                                    I
      S             I                                                                                                    I
                    I                                                                                                    I
                    I                                        +                                                           I
                    I                                                                                                    I
                    I                                                 +                                                  I
                    I                                                                                                    I
                    I+                                                +                                                  I
                    I                         +                      +                                                   I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                    +                                                               I
                    I                                                                                                    I
                  N I                                                                                                    I
                  E I                                                                                                    I
                  G I                                                                                                    I
                  A I                                                                                                    I
                  T I                  +                                                                                 I
                  I I                                            +                                                       I
                  V I                                                                                                    I
                  E I                                                                                                    I
                    I                                                                                                    I
                    I                                                                  +                                 I
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                  32.724                                            60.855                                            88.986
                                                                   FITTED Y
1                                            LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 1981 VERSION OF THE LINWOOD 40 VARIABLE, 1000 OBSERVATION PROGRAM

 REFER TO FITTING EQUATIONS TO DATA BY DANIEL AND WOOD, SECOND EDITION, WILEY PUBLISHER,
 FOR GLOSSARY OF TERMS, USER'S MANUAL, DETAILS OF CALCULATIONS AND INTERPRETATION OF RESULTS.

0MANDEL WEIGHT OBSV

0                         CONTROL CARD INFORMATION                                               ORDER OF CARDS

 COL.  INPUT MAX. ITEM   (NOTE: BLANK ON CARD = 0)                             FIRST PROBLEM
  1-18            PROBLEM IDENTIFICATION.                                       1  CONTROL CARD.
 19-20   1        NUMBER OF INDEPENDENT VARIABLES READ IN                       2  FORMAT CARD(S), IF ANY.
                    (ALLOW SPACE FOR TRANSFORMATIONS).                          3  DELETE OBSERVATIONS CARD(S), IF ANY.
 21-22   1        NUMBER OF   DEPENDENT VARIABLES READ IN.                      4  INDICATOR-VARIABLE-OBSERVATIONS CARD(S), IF ANY.
         2    65  TOTAL NUMBER OF VARIABLES (BEFORE TRANSFORMATIONS, IF ANY).   5  TRANSFORMATION CARD(S), IF ANY.
    24            E CAUSES Y, FITTED Y AND RESIDUALS TO BE                      6  INFORMATION CARD(S) FOR PRINTOUT, IF ANY.
                      LISTED WITH AN E RATHER THAN AN F FORMAT.                 7  NAMES OF VARIABLES CARD(S) FOR PRINTOUT, IF ANY.
    25   0        1 DO TRANSFORMATIONS.                                         8  CP SELECTED SEARCH CARD(S), IF ANY.
    26   1        1 WEIGHT OBSERVATIONS. WEIGHT ENTERED IN LAST POSITION.       9  DATA CARDS (IF NOT READ FROM A FILE).
                  2 WEIGHT BY 1/VAR. OF OBSERVATION.  VARIANCE ENTERED.        10  END CARD (END IN COLUMNS 1 - 3 OF IDENTIFICATION
    27   0        1 LET B(0) = ZERO, OTHERWISE B(0) IS CALCULATED VALUE.            FIELD).  THE NUMBER OF END CARDS MUST EQUAL THE
    28   0        1 CHECK OBSERVATION NUMBER SEQUENCE.                              NUMBER OF CARDS PER OBSERVATION. (END CARDS
    29   0        1 CHECK SEQUENCE WITHIN OBSERVATION NUMBER.                       ARE NOT NEEDED IF DATA ARE READ FROM A FILE).
    30   0        1 DO BACK TRANSFORMATION OF DEPENDENT VARIABLE.              11  ESTIMATE OF VARIANCE CARD(S), IF ANY, FOR EACH
    31   0        1 PUNCH DATA FOR CONFIDENCE INTERVAL PROGRAM.                     DEPENDENT VARIABLE.
    32   0        0 LIST ALL INPUT DATA.
                  1 LIST ONLY 1ST OBSERVATION.
                  2 DO NOT LIST ANY INPUT DATA.                                SECOND PROBLEM
    33   0        0 LIST TRANSFORMATIONS AND ALL TRANSFORMED DATA.               IF DATA ARE REUSED FROM FIRST PROBLEM,
                  1 LIST TRANSFORMATIONS AND 1ST TRANSFORMED OBSERVATION.            DELETE THE FORMAT, DATA AND END CARDS.
                  2 DO NOT LIST TRANSFORMATIONS OR TRANSFORMED DATA.             IF NAMES ARE REUSED,
    34   0        1 DO NOT LIST SUMS OF VARIABLES.                                   DELETE THE NAME CARDS.
    35   0        1 DO NOT LIST RAW SUMS AND CROSS PRODUCTS WHEN B(O)=O.         IF DIFFERENT INPUT DATA AND NAMES,
    36   0        1 DO NOT LIST RESIDUAL SUMS AND CROSS PRODUCTS.                    REPEAT 1 - 11 ABOVE.
    37   0        1 DO NOT LIST MEANS AND ROOT MEAN SQUARES OF VARIABLES.
    38   0        1 DO NOT LIST SIMPLE CORRELATION COEFFICIENTS.         
    39   0        1 DO NOT LIST INVERSE MATRIX.
    40   1        1 DO NOT PRINT PLOTS OF RESIDUALS VS. FITTED Y.
                  2 PLOT (A) RESIDUALS AND (B) COMPONENT AND COMPONENT-
                     PLUS-RESIDUALS VS. EACH INDEPENDENT VARIABLE.
                  3 PLOT (A) RESIDUALS ONLY.
                  4 PLOT (B) COMPONENT AND COMPONENT-PLUS-RESIDUALS ONLY.
                  5 PLOT (B) BUT EXPAND SCALE TO FILL EACH PLOT.
                  TO OMIT PLOTS OF SPECIFIC INDEPENDENT VARIABLES, ON
                  THE TRANSFFORMATION CARDS PUT A 2 IN THE OMIT COLUMNS
                  OF THOSE VARIABLES.
    41   0        0 READ DATA WITH STANDARD FORMAT (A6, I4, I2, 10F6.3).
                  1 READ DATA WITH FORMAT TO BE READ, 1 CARD (72COL) ASSUMED.
                  2 READ DATA WITH READ DATA (REDATA) SUBROUTINE.
    42   0        0 DO NOT SAVE DATA FOR NEXT PROBLEM.
                  1 SAVE DATA FOR NEXT PROBLEM.
                  2 REUSE DATA FROM PREVIOUS PROBLEM.
 43-44   0        MAXIMUM NUMBER OF VARIABLES IN CP SEARCH IF GREATER THAN 12.
              18   STANDARD SEARCH,
              30   MODIFIED LEAPS AND BOUNDS SEARCH.
    45   0     8  NUMBER OF FORMAT CARDS IF GREATER THAN 1.
 46-47   5    12  NUMBER OF INFORMATION CARDS TO BE READ FOR DISPLAY ON
                   PRINTOUT IF DESIRED, 72 COL. EACH.
    48   1        1 READ NAMES OF VARIABLES FOR DISPLAY ON PRINTOUT.
                     NAMES IN SAME POSITIONS AS VARIABLES ON TRANSFORMATION
                     CARDS - COLS. 1-6, 11-16, - - - , 61-66.
                     NAMES ARE NOT MOVED, ONLY LISTED OR DELETED.
                  2 REUSE NAMES OF VARIABLES FROM PREVIOUS PROBLEM.
    49   0        CP SEARCH FOR CANDIDATE EQUATIONS.  USE ESTIMATE
                   OF VARIANCE (RMS) FROM:
                    1 FULL EQUATION,
                    2 SUBSET EQUATION WITH MINIMUM RMS VALUE, OR
                    3 ESTIMATE OF VARIANCE CARD, F16.8 FORMAT.
                    CP SEARCH BY MODIFIED LEAPS AND BOUNDS.
                    4 ESTIMATE RMS FROM 1 ABOVE,
                    5 ESTIMATE RMS FROM 2 ABOVE, OR
                    6 ESTIMATE RMS FROM 3 ABOVE.
    50   0     3  NUMBER OF CP SELECTED SEARCH CARDS TO BE READ.
                   KEYPUNCH WITH A 18(2X,I2) FORMAT IN ASCENDING ORDER
                   THE IDENTIFICATION NUMBER OF THE VARIABLES (AFTER
                   TRANSFORMATIONS) TO BE USED IN THAT SEARCH.
                   ALL OTHER VARIABLES WILL BE PLACED IN BASIC EQUATION.
                   IF THE TOTAL NUMBER OF VARIABLES TO BE SEARCHED IS
                   LARGE, GIVE TOTAL IN COLUMNS 43-44.
    51   0        1 LIST COMPONENT-EFFECT TABLE, REQUIRED X(I) PRECISION,
                     ESTIMATE OF STANDARD DEVIATION FROM NEAR NEIGHBORS,
                     AND FUNCTIONS OF FITTED Y.
                  2 LIST ONLY ESTIMATE OF STD. DEVIATION AND FUNCTIONS.
                  3 LIST ONLY FUNCTIONS OF FITTED Y.
 52-53   0        NUMBER OF FILE IF DATA ARE READ FROM SEPARATE FILE,
                   NO END CARD IF ONLY ONE SET OF DATA IS ON EACH FILE.
 54-55   0        NUMBER OF INDEPENDENT VARIABLES GREATER THAN THE 99
                   ALLOWED IN COLS 19-20.
 56-58   0        TO REDUCE PRINTOUT WITH MANY OBSERVATIONS,
                   NUMBER OF CENTRAL OBSERVATIONS AND RESIDUALS NOT
                   TO BE PRINTED.  THIS REQUIRES AN E IN COL 24.
    59   0        CROSS VERIFICATION OF MODEL AND COEFFICIENTS WITH A
                   SECOND SAMPLE OF DATA:
                    1 WRITE B(0) AND B(I)S ON FILE IN ONE PROBLEM
                       (TRANSFORMATIONS ARE NOT SAVED).
                    2 READ  B(0) AND B(I)S FROM FILE IN NEXT PROBLEM
                      WITH SECOND SET OF OBSERVATIONS.
    60   0     5  NUMBER OF DELETE-OBSERVATIONS CARDS.  KEYPUNCH
                   OBSERVATION NUMBER OF DATA TO BE DELETED IN ORDER READ
                   BY COMPUTER USING 7(I4,6X) FORMAT.
    61   0     5  NUMBER OF INDICATOR-VARIABLE-OBSERVATIONS CARDS.
                   USING A 7(I4,2X,I3,1X) FORMAT, KEYPUNCH OBSERVATION
                   NUMBER (IN ORDER READ) AND VARIABLE NUMBER (BEFORE
                   TRANSFORMATIONS) INTO WHICH A 1 IS TO BE INSERTED.
0PROBLEM HAS ONE EQUATION
0DATA READ WITH STANDARD FORMAT (A6, I4, I2, 10F6.3)
0BZERO = CALCULATED VALUE
0INFORMATION CARDS
           SAMPLE    LEVEL OF X    WEIGHT OF OBSERVATION                           
              1          10                1                                       
              2          20                4                                       
              3          30                1                                       
              4          40                1                                       
0NAMES OF VARIABLES
            LEVEL                  
0
1                                LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 MANDEL WEIGHT OBSV


0DATA INPUT          1 INDEPENDENT VARIABLES    1 DEPENDENT VARIABLE(S)      WEIGHT OF OBSERVATION

 OBSV.  SEQ.   1-11-21    2-12-22    3-13-23    4-14-24    5-15-25    6-16-26    7-17-27    8-18-28    9-19-29   10-20-30
    1     0     10.000     33.800      1.000
    2     0     20.000     62.200      4.000
    3     0     30.000     92.000      1.000
    4     0     40.000    122.400      1.000
0SUMS OF VARIABLES
       1.60000E+02 4.97000E+02
0RESIDUAL SUMS OF SQUARES + CROSS PRODUCTS
    1  5.42857E+02
    2  1.61000E+03 4.77656E+03
0MEANS OF VARIABLES
       2.28571E+01 7.10000E+01
0ROOT MEAN SQUARES OF VARIABLES
       9.51190E+00 2.82151E+01
0SIMPLE CORRELATION COEFFICIENTS, R(I,I PRIME)
    1        1.000
    2        1.000       1.000
0INVERSE, C(I,I PRIME)
    1        1.000
1                                      LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 MANDEL WEIGHT OBSV  DEP VAR 1:                             MIN Y =  3.380E+01  MAX Y =  1.224E+02  RANGE Y =  8.860E+01

                   SAMPLE    LEVEL OF X    WEIGHT OF OBSERVATION                           
                      1          10                1                                       
                      2          20                4                                       
                      3          30                1                                       
                      4          40                1                                       
0IND.VAR(I)   NAME    COEF.B(I)      S.E. COEF.   T-VALUE   R(I)SQRD    MIN X(I)       MAX X(I)      RANGE X(I)  REL.INF.X(I)
      0              3.21053E+00      9.97E-01      3.2
      1      LEVEL   2.96579E+00      3.89E-02     76.3      0.0000     1.000E+01      4.000E+01      3.000E+01      1.00
0NO. OF OBSERVATIONS               4
 NO. OF IND. VARIABLES             1
 RESIDUAL DEGREES OF FREEDOM       2
 F-VALUE                        5826.8
 RESIDUAL ROOT MEAN SQUARE         0.90524786
 RESIDUAL MEAN SQUARE              0.81947368
 RESIDUAL SUM OF SQUARES           1.63894737
 TOTAL SUM OF SQUARES           4776.56000000
 MULT. CORREL. COEF. SQUARED        .9997
 ADJ. MULT. CORR. COEF. SQUARED     .9995
0-----------------ORDERED BY COMPUTER INPUT--------- ---------   ---------------------ORDERED BY RESIDUALS---------------------
 IDENT.  OBSV. WSS DISTANCE OBS. Y     FITTED Y     RESIDUAL   OBSV.      OBS. Y     FITTED Y  ORDERED RESID. STUD.RESID. SEQ
            1    1774       33.800       32.868        0.932      1       33.800       32.868        0.932        1.4       1
            2      88       62.200       62.526       -0.326      4      122.400      121.842        0.558        1.1       2
            3     548       92.000       92.184       -0.184      3       92.000       92.184       -0.184       -0.2       3
            4    3154      122.400      121.842        0.558      2       62.200       62.526       -0.326       -1.2       4
1                                            LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 1981 VERSION OF THE LINWOOD 40 VARIABLE, 1000 OBSERVATION PROGRAM

 REFER TO FITTING EQUATIONS TO DATA BY DANIEL AND WOOD, SECOND EDITION, WILEY PUBLISHER,
 FOR GLOSSARY OF TERMS, USER'S MANUAL, DETAILS OF CALCULATIONS AND INTERPRETATION OF RESULTS.

0PRECISION - EMPLOY

0                         CONTROL CARD INFORMATION                                               ORDER OF CARDS

 COL.  INPUT MAX. ITEM   (NOTE: BLANK ON CARD = 0)                             FIRST PROBLEM
  1-18            PROBLEM IDENTIFICATION.                                       1  CONTROL CARD.
 19-20   6        NUMBER OF INDEPENDENT VARIABLES READ IN                       2  FORMAT CARD(S), IF ANY.
                    (ALLOW SPACE FOR TRANSFORMATIONS).                          3  DELETE OBSERVATIONS CARD(S), IF ANY.
 21-22   8        NUMBER OF   DEPENDENT VARIABLES READ IN.                      4  INDICATOR-VARIABLE-OBSERVATIONS CARD(S), IF ANY.
        14    65  TOTAL NUMBER OF VARIABLES (BEFORE TRANSFORMATIONS, IF ANY).   5  TRANSFORMATION CARD(S), IF ANY.
    24            E CAUSES Y, FITTED Y AND RESIDUALS TO BE                      6  INFORMATION CARD(S) FOR PRINTOUT, IF ANY.
                      LISTED WITH AN E RATHER THAN AN F FORMAT.                 7  NAMES OF VARIABLES CARD(S) FOR PRINTOUT, IF ANY.
    25   1        1 DO TRANSFORMATIONS.                                         8  CP SELECTED SEARCH CARD(S), IF ANY.
    26   0        1 WEIGHT OBSERVATIONS. WEIGHT ENTERED IN LAST POSITION.       9  DATA CARDS (IF NOT READ FROM A FILE).
                  2 WEIGHT BY 1/VAR. OF OBSERVATION.  VARIANCE ENTERED.        10  END CARD (END IN COLUMNS 1 - 3 OF IDENTIFICATION
    27   0        1 LET B(0) = ZERO, OTHERWISE B(0) IS CALCULATED VALUE.            FIELD).  THE NUMBER OF END CARDS MUST EQUAL THE
    28   0        1 CHECK OBSERVATION NUMBER SEQUENCE.                              NUMBER OF CARDS PER OBSERVATION. (END CARDS
    29   0        1 CHECK SEQUENCE WITHIN OBSERVATION NUMBER.                       ARE NOT NEEDED IF DATA ARE READ FROM A FILE).
    30   0        1 DO BACK TRANSFORMATION OF DEPENDENT VARIABLE.              11  ESTIMATE OF VARIANCE CARD(S), IF ANY, FOR EACH
    31   0        1 PUNCH DATA FOR CONFIDENCE INTERVAL PROGRAM.                     DEPENDENT VARIABLE.
    32   0        0 LIST ALL INPUT DATA.
                  1 LIST ONLY 1ST OBSERVATION.
                  2 DO NOT LIST ANY INPUT DATA.                                SECOND PROBLEM
    33   1        0 LIST TRANSFORMATIONS AND ALL TRANSFORMED DATA.               IF DATA ARE REUSED FROM FIRST PROBLEM,
                  1 LIST TRANSFORMATIONS AND 1ST TRANSFORMED OBSERVATION.            DELETE THE FORMAT, DATA AND END CARDS.
                  2 DO NOT LIST TRANSFORMATIONS OR TRANSFORMED DATA.             IF NAMES ARE REUSED,
    34   1        1 DO NOT LIST SUMS OF VARIABLES.                                   DELETE THE NAME CARDS.
    35   1        1 DO NOT LIST RAW SUMS AND CROSS PRODUCTS WHEN B(O)=O.         IF DIFFERENT INPUT DATA AND NAMES,
    36   1        1 DO NOT LIST RESIDUAL SUMS AND CROSS PRODUCTS.                    REPEAT 1 - 11 ABOVE.
    37   0        1 DO NOT LIST MEANS AND ROOT MEAN SQUARES OF VARIABLES.
    38   0        1 DO NOT LIST SIMPLE CORRELATION COEFFICIENTS.         
    39   1        1 DO NOT LIST INVERSE MATRIX.
    40   0        1 DO NOT PRINT PLOTS OF RESIDUALS VS. FITTED Y.
                  2 PLOT (A) RESIDUALS AND (B) COMPONENT AND COMPONENT-
                     PLUS-RESIDUALS VS. EACH INDEPENDENT VARIABLE.
                  3 PLOT (A) RESIDUALS ONLY.
                  4 PLOT (B) COMPONENT AND COMPONENT-PLUS-RESIDUALS ONLY.
                  5 PLOT (B) BUT EXPAND SCALE TO FILL EACH PLOT.
                  TO OMIT PLOTS OF SPECIFIC INDEPENDENT VARIABLES, ON
                  THE TRANSFFORMATION CARDS PUT A 2 IN THE OMIT COLUMNS
                  OF THOSE VARIABLES.
    41   1        0 READ DATA WITH STANDARD FORMAT (A6, I4, I2, 10F6.3).
                  1 READ DATA WITH FORMAT TO BE READ, 1 CARD (72COL) ASSUMED.
                  2 READ DATA WITH READ DATA (REDATA) SUBROUTINE.
    42   1        0 DO NOT SAVE DATA FOR NEXT PROBLEM.
                  1 SAVE DATA FOR NEXT PROBLEM.
                  2 REUSE DATA FROM PREVIOUS PROBLEM.
 43-44   0        MAXIMUM NUMBER OF VARIABLES IN CP SEARCH IF GREATER THAN 12.
              18   STANDARD SEARCH,
              30   MODIFIED LEAPS AND BOUNDS SEARCH.
    45   0     8  NUMBER OF FORMAT CARDS IF GREATER THAN 1.
 46-47   8    12  NUMBER OF INFORMATION CARDS TO BE READ FOR DISPLAY ON
                   PRINTOUT IF DESIRED, 72 COL. EACH.
    48   1        1 READ NAMES OF VARIABLES FOR DISPLAY ON PRINTOUT.
                     NAMES IN SAME POSITIONS AS VARIABLES ON TRANSFORMATION
                     CARDS - COLS. 1-6, 11-16, - - - , 61-66.
                     NAMES ARE NOT MOVED, ONLY LISTED OR DELETED.
                  2 REUSE NAMES OF VARIABLES FROM PREVIOUS PROBLEM.
    49   2        CP SEARCH FOR CANDIDATE EQUATIONS.  USE ESTIMATE
                   OF VARIANCE (RMS) FROM:
                    1 FULL EQUATION,
                    2 SUBSET EQUATION WITH MINIMUM RMS VALUE, OR
                    3 ESTIMATE OF VARIANCE CARD, F16.8 FORMAT.
                    CP SEARCH BY MODIFIED LEAPS AND BOUNDS.
                    4 ESTIMATE RMS FROM 1 ABOVE,
                    5 ESTIMATE RMS FROM 2 ABOVE, OR
                    6 ESTIMATE RMS FROM 3 ABOVE.
    50   0     3  NUMBER OF CP SELECTED SEARCH CARDS TO BE READ.
                   KEYPUNCH WITH A 18(2X,I2) FORMAT IN ASCENDING ORDER
                   THE IDENTIFICATION NUMBER OF THE VARIABLES (AFTER
                   TRANSFORMATIONS) TO BE USED IN THAT SEARCH.
                   ALL OTHER VARIABLES WILL BE PLACED IN BASIC EQUATION.
                   IF THE TOTAL NUMBER OF VARIABLES TO BE SEARCHED IS
                   LARGE, GIVE TOTAL IN COLUMNS 43-44.
    51   2        1 LIST COMPONENT-EFFECT TABLE, REQUIRED X(I) PRECISION,
                     ESTIMATE OF STANDARD DEVIATION FROM NEAR NEIGHBORS,
                     AND FUNCTIONS OF FITTED Y.
                  2 LIST ONLY ESTIMATE OF STD. DEVIATION AND FUNCTIONS.
                  3 LIST ONLY FUNCTIONS OF FITTED Y.
 52-53   0        NUMBER OF FILE IF DATA ARE READ FROM SEPARATE FILE,
                   NO END CARD IF ONLY ONE SET OF DATA IS ON EACH FILE.
 54-55   0        NUMBER OF INDEPENDENT VARIABLES GREATER THAN THE 99
                   ALLOWED IN COLS 19-20.
 56-58   0        TO REDUCE PRINTOUT WITH MANY OBSERVATIONS,
                   NUMBER OF CENTRAL OBSERVATIONS AND RESIDUALS NOT
                   TO BE PRINTED.  THIS REQUIRES AN E IN COL 24.
    59   0        CROSS VERIFICATION OF MODEL AND COEFFICIENTS WITH A
                   SECOND SAMPLE OF DATA:
                    1 WRITE B(0) AND B(I)S ON FILE IN ONE PROBLEM
                       (TRANSFORMATIONS ARE NOT SAVED).
                    2 READ  B(0) AND B(I)S FROM FILE IN NEXT PROBLEM
                      WITH SECOND SET OF OBSERVATIONS.
    60   0     5  NUMBER OF DELETE-OBSERVATIONS CARDS.  KEYPUNCH
                   OBSERVATION NUMBER OF DATA TO BE DELETED IN ORDER READ
                   BY COMPUTER USING 7(I4,6X) FORMAT.
    61   0     5  NUMBER OF INDICATOR-VARIABLE-OBSERVATIONS CARDS.
                   USING A 7(I4,2X,I3,1X) FORMAT, KEYPUNCH OBSERVATION
                   NUMBER (IN ORDER READ) AND VARIABLE NUMBER (BEFORE
                   TRANSFORMATIONS) INTO WHICH A 1 IS TO BE INSERTED.
0EQUATION  1 OF A MULTI-EQUATION PROBLEM
0DATA READ WITH SPECIAL FORMAT
0FORMAT CARD 1 ( A6,I4,I2, F6.1,9F6.0/ 12X, 4F6.0  )                                   
0BZERO = CALCULATED VALUE
0INFORMATION CARDS
           Y  = B(0) + B(1)X1 + B(2)X2 + B(3)X3 + B(4)X4 + B(5)X5 + B(6)X6         
           Y  = EMPLOYMENT                                                         
           X1 = PRICE INDEX                                                        
           X2 = GROSS NATIONAL PRODUCT                                             
           X3 = UNEMPLOYMENT                                                       
           X4 = SIZE OF ARMED FORCES                                               
           X5 = NONINSTITIONAL POPULATION                                          
           X6 = TIME IN YEARS                                                      
0DATA TRANSFORMATIONS
        POSITION   CODE   OPERATION                 CONSTANT  LOCATION  OMIT  VARIABLE  NAME
            1             NONE                                    1      0        1      PRICE
            2             NONE                                    2      0        2        GNP
            3             NONE                                    3      0        3     UNEMPY
            4             NONE                                    4      0        4       ARMY
            5             NONE                                    5      0        5     NONIST
            6             NONE                                    6      0        6       TIME
            7             NONE                                    7      0        7     TOTAL 
            8             NONE                                    8      1              FARM  
            9             NONE                                    9      1              SELF  
           10             NONE                                   10      1              UNPAID
           11             NONE                                   11      1              HOUSE 
           12             NONE                                   12      1              PRIVAT
           13             NONE                                   13      1              FED GO
           14             NONE                                   14      1              LOCALG
0
1                                LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 PRECISION - EMPLOY


0DATA INPUT          6 INDEPENDENT VARIABLES    8 DEPENDENT VARIABLE(S)

 OBSV.  SEQ.   1-11-21    2-12-22    3-13-23    4-14-24    5-15-25    6-16-26    7-17-27    8-18-28    9-19-29   10-20-30
 1947     0     83.000 234289.000   2356.000   1590.000 107608.000   1947.000  60323.000   8256.000   6045.000    427.000
          1   1714.000  38407.000   1892.000   3582.000
 1948     0     88.500 259426.000   2325.000   1456.000 108632.000   1948.000  61122.000   7960.000   6139.000    401.000
          1   1731.000  39241.000   1863.000   3787.000
 1949     0     88.200 258054.000   3682.000   1616.000 109773.000   1949.000  60171.000   8017.000   6208.000    396.000
          1   1772.000  37922.000   1908.000   3948.000
 1950     0     89.500 284599.000   3351.000   1650.000 110929.000   1950.000  61187.000   7497.000   6069.000    404.000
          1   1995.000  39196.000   1928.000   4098.000
 1951     0     96.200 328975.000   2099.000   3099.000 112075.000   1951.000  63221.000   7048.000   5869.000    400.000
          1   2055.000  41460.000   2302.000   4087.000
 1952     0     98.100 346999.000   1932.000   3594.000 113270.000   1952.000  63639.000   6792.000   5670.000    431.000
          1   1922.000  42216.000   2420.000   4188.000
 1953     0     99.000 365385.000   1870.000   3547.000 115094.000   1953.000  64989.000   6555.000   5794.000    423.000
          1   1985.000  43587.000   2305.000   4340.000
 1954     0    100.000 363112.000   3578.000   3350.000 116219.000   1954.000  63761.000   6495.000   5880.000    445.000
          1   1919.000  42271.000   2188.000   4563.000
 1955     0    101.200 397469.000   2904.000   3048.000 117388.000   1955.000  66019.000   6718.000   5886.000    524.000
          1   2216.000  43761.000   2187.000   4727.000
 1956     0    104.600 419180.000   2822.000   2857.000 118734.000   1956.000  67857.000   6572.000   5936.000    581.000
          1   2359.000  45131.000   2209.000   5069.000
 1957     0    108.400 442769.000   2936.000   2798.000 120445.000   1957.000  68169.000   6222.000   6089.000    626.000
          1   2328.000  45278.000   2217.000   5409.000
 1958     0    110.800 444546.000   4681.000   2637.000 121950.000   1958.000  66513.000   5844.000   6185.000    605.000
          1   2456.000  43530.000   2191.000   5702.000
 1959     0    112.600 482704.000   3813.000   2552.000 123366.000   1959.000  68655.000   5836.000   6298.000    597.000
          1   2520.000  45214.000   2233.000   5957.000
 1960     0    114.200 502601.000   3931.000   2514.000 125368.000   1960.000  69564.000   5723.000   6367.000    615.000
          1   2489.000  45850.000   2270.000   6250.000
 1961     0    115.700 518173.000   4806.000   2572.000 127852.000   1961.000  69331.000   5463.000   6388.000    662.000
          1   2594.000  45397.000   2279.000   6548.000
 1962     0    116.900 554894.000   4007.000   2827.000 130081.000   1962.000  70551.000   5190.000   6271.000    623.000
          1   2626.000  46652.000   2340.000   6849.000
0DATA TRANSFORMATIONS
        POSITION   CODE   OPERATION                 CONSTANT  LOCATION  OMIT  VARIABLE  NAME
            1             NONE                                    1      0        1      PRICE
            2             NONE                                    2      0        2        GNP
            3             NONE                                    3      0        3     UNEMPY
            4             NONE                                    4      0        4       ARMY
            5             NONE                                    5      0        5     NONIST
            6             NONE                                    6      0        6       TIME
            7             NONE                                    7      0        7     TOTAL 
            8             NONE                                    8      1              FARM  
            9             NONE                                    9      1              SELF  
           10             NONE                                   10      1              UNPAID
           11             NONE                                   11      1              HOUSE 
           12             NONE                                   12      1              PRIVAT
           13             NONE                                   13      1              FED GO
           14             NONE                                   14      1              LOCALG
0FIRST OBSERVATION AFTER TRANSFORMATIONS      THE FITTED EQUATION HAS  6 INDEPENDENT VARIABLES,  1 DEPENDENT VARIABLE(S)

             PRICE         GNP      UNEMPY        ARMY      NONIST        TIME      TOTAL       
 OBSV.     1-11-21     2-12-22     3-13-23     4-14-24     5-15-25     6-16-26     7-17-27     8-18-28     9-19-29    10-20-30
 1947  8.30000E+01 2.34289E+05 2.35600E+03 1.59000E+03 1.07608E+05 1.94700E+03 6.03230E+04
0MEANS OF VARIABLES
       1.01681E+02 3.87698E+05 3.19331E+03 2.60669E+03 1.17424E+05 1.95450E+03 6.53170E+04
0ROOT MEAN SQUARES OF VARIABLES
       1.07916E+01 9.93949E+04 9.34464E+02 6.95920E+02 6.95610E+03 4.76095E+00 3.51197E+03
0SIMPLE CORRELATION COEFFICIENTS, R(I,I PRIME)
    1        1.000
    2        0.992       1.000
    3        0.621       0.604       1.000
    4        0.465       0.446      -0.177       1.000
    5        0.979       0.991       0.687       0.364       1.000
    6        0.991       0.995       0.668       0.417       0.994       1.000
    7        0.971       0.984       0.502       0.457       0.960       0.971       1.000
1                                      LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 PRECISION - EMPLOY  DEP VAR 1: TOTAL                       MIN Y =  6.017E+04  MAX Y =  7.055E+04  RANGE Y =  1.038E+04

                   Y  = B(0) + B(1)X1 + B(2)X2 + B(3)X3 + B(4)X4 + B(5)X5 + B(6)X6         
                   Y  = EMPLOYMENT                                                         
                   X1 = PRICE INDEX                                                        
                   X2 = GROSS NATIONAL PRODUCT                                             
                   X3 = UNEMPLOYMENT                                                       
                   X4 = SIZE OF ARMED FORCES                                               
                   X5 = NONINSTITIONAL POPULATION                                          
                   X6 = TIME IN YEARS                                                      
0IND.VAR(I)   NAME    COEF.B(I)      S.E. COEF.   T-VALUE   R(I)SQRD    MIN X(I)       MAX X(I)      RANGE X(I)  REL.INF.X(I)
      0             -3.48226E+06      8.90E+05      3.9
      1      PRICE   1.50619E+01      8.49E+01      0.2      0.9926     8.300E+01      1.169E+02      3.390E+01      0.05
      2        GNP  -3.58192E-02      3.35E-02      1.1      0.9994     2.343E+05      5.549E+05      3.206E+05      1.11
      3     UNEMPY  -2.02023E+00      4.88E-01      4.1      0.9703     1.870E+03      4.806E+03      2.936E+03      0.57
      4       ARMY  -1.03323E+00      2.14E-01      4.8      0.7214     1.456E+03      3.594E+03      2.138E+03      0.21
      5     NONIST  -5.11041E-02      2.26E-01      0.2      0.9975     1.076E+05      1.301E+05      2.247E+04      0.11
      6       TIME   1.82915E+03      4.55E+02      4.0      0.9987     1.947E+03      1.962E+03      1.500E+01      2.64
0NO. OF OBSERVATIONS              16
 NO. OF IND. VARIABLES             6
 RESIDUAL DEGREES OF FREEDOM       9
 F-VALUE                         330.3
 RESIDUAL ROOT MEAN SQUARE       304.85407356
 RESIDUAL MEAN SQUARE          92936.00616731
 RESIDUAL SUM OF SQUARES      836424.05550579
 TOTAL SUM OF SQUARES      185008826.00000000
 MULT. CORREL. COEF. SQUARED        .9955
 ADJ. MULT. CORR. COEF. SQUARED     .9925
1                                      LINEAR LEAST-SQUARES CURVE FITTING PROGRAM
0PRECISION - EMPLOY  DEP VAR 1: TOTAL          RESIDUAL ROOT MEAN SQUARE OF FITTED EQUATION:    304.85
0STANDARD DEVIATION ESTIMATED FROM RESIDUALS OF NEIGHBORING OBSERVATIONS (OBSERVATIONS 1 TO 4 APART IN FITTED Y ORDER).

       CUMULATIVE     ---------ORDERED BY WSSD----------  ---------ORDERED BY FITTED Y---------
  NO.    STD DEV      WSSD   OBSV.  OBSV.  DEL RESIDUALS  WSSD  DEL RESIDUALS  FITTED Y   OBSV.    SEQ.
   1    100.78       40.96   1952   1953      85.26     229.22    221.05     60055.66     1947       1
   2     91.69       42.21   1959   1960      69.88     117.23    140.30     60124.71     1949       2
   3    234.92       43.30   1955   1956     441.09     199.56    316.10     61216.01     1948       3
   4    315.87       44.41   1956   1957     472.66     156.29    719.83     61597.11     1950       4
   5    384.85       44.57   1951   1952     559.03     437.40    322.89     62911.29     1951       5
   6    391.90       45.08   1947   1948     361.35     267.51    236.13     63774.18     1954       6
   7    412.98       50.60   1949   1950     456.40      40.96     85.26     63888.31     1952       7
   8    424.54       73.19   1961   1960     427.60     208.19    178.35     65153.05     1953       8
   9    380.98       73.34   1954   1955      27.49     496.03     53.36     66004.70     1955       9
  10    407.74       83.54   1961   1962     548.69     305.59    494.45     66552.06     1958      10
  11    383.19       89.34   1958   1959     116.49      44.41    472.66     67401.61     1956      11
  12    365.08      117.23   1949   1948     140.30     200.78    138.28     68186.27     1957      12
  13    402.44      156.29   1950   1951     719.83     205.27    497.48     68810.55     1959      13
  14    386.44      164.67   1954   1953     150.87      73.19    427.60     68989.07     1961      14
  15    398.01      167.19   1951   1953     473.76     183.78    121.09     69649.67     1960      15
  16    374.74      170.14   1958   1957      21.79      45.08    361.35     70757.76     1962      16
1                                      LINEAR LEAST-SQUARES CURVE FITTING PROGRAM
0PRECISION - EMPLOY  DEP VAR 1: TOTAL 
0FUNCTIONS RELATED TO THE VARIANCE OF FITTED Y.  OBSERVATIONS ORDERED BY COMPUTER INPUT.
0STUDENTIZED RESIDUAL = RESIDUAL / SQUARE ROOT OF VARIANCE OF RESIDUAL.
 DELETED-STUDENTIZED RESIDUAL = RESIDUAL / SQUARE ROOT OF RESIDUAL VARIANCE WHEN
     THAT RESIDUAL HAS BEEN DELETED FROM THE RESIDUAL SUMS OF SQUARES.
 VARIANCE RATIO = VARIANCE OF FITTED Y / VARIANCE OF RESIDUAL.
 MAHALANOBIS DISTANCE = VARIANCE RATIO ADJUSTED FOR THE NUMBER OF OBSERVATIONS.
 DISTANCE IN INFLUENCE AND FACTOR SPACE, INFAC = (WEIGHTED SQUARED STANDARDIZED
     DISTANCE)(VARIANCE RATIO).
 DELETE-EFFECT = (VARIANCE RATIO)(STUDENTIZED RESIDUAL SQUARED / P).
 DFFITS = (SQUARE ROOT OF VARIANCE RATIO)(DELETED-STUDENTIZED RESIDUAL).
     LIMITING VALUE OF DFFITS FOR THIS PROBLEM, 2*SQRT(P/N), = 1.3
0                                       DELETED-                        -----------------------DISTANCE-----------------------
                           STUDENTIZED STUDENTIZED   S.E.                VAR.   MAHAL-                          DELETE-EFFECT
 IDENT.  OBSV.    RESIDUAL  RESIDUAL    RESIDUAL   FITTED Y  V(Y)/RMS   RATIO   ANOBIS   WSSD   INFAC  DFFITS   VALUE  PERCENT
 JASA P  1947      267.340     1.2         1.2     198.632    0.4245      0.7       9    2396    1768     1.0     0.1   
 JASA R  1948      -94.014    -0.5        -0.4     229.144    0.5650      1.3      17    1799    2337     0.5     0.0   
 JASA E  1949       46.287     0.2         0.2     183.439    0.3621      0.6       7    1345     763     0.1     0.0   
 JASA C  1950     -410.115    -1.7        -1.9     185.993    0.3722      0.6       7     889     527     1.5     0.2   
 JASA I  1951      309.715     1.6         1.8     239.172    0.6155      1.6      21     545     872     2.3     0.6   
 JASA S  1952     -249.311    -1.0        -1.0     185.329    0.3696      0.6       7     329     193     0.8     0.1   
 JASA I  1953     -164.049    -0.8        -0.7     213.731    0.4915      1.0      13     175     169     0.7     0.1   
 JASA O  1954      -13.180    -0.1        -0.1     216.566    0.5047      1.0      13      30      31     0.1     0.0   
 JASA N  1955       14.305     0.1         0.1     206.113    0.4571      0.8      11      16      14     0.1     0.0   
 JASA    1956      455.394     1.8         2.2     175.288    0.3306      0.5       6     102      50     1.5     0.2   
 JASA T  1957      -17.269    -0.1        -0.1     182.882    0.3599      0.6       7     271     152     0.1     0.0   
 JASA E  1958      -39.055    -0.2        -0.2     211.895    0.4831      0.9      12     584     546     0.2     0.0   
 JASA S  1959     -155.550    -0.6        -0.6     186.512    0.3743      0.6       7     872     522     0.5     0.0   
 JASA T  1960      -85.671    -0.3        -0.3     145.687    0.2284      0.3       3    1297     384     0.2     0.0   
 JASA    1961      341.932     1.4         1.5     186.153    0.3729      0.6       7    1874    1114     1.2     0.2   
 JASA    1962     -206.758    -1.2        -1.3     252.976    0.6886      2.2      30    2446    5409     1.9     0.5   
1                                      LINEAR LEAST-SQUARES CURVE FITTING PROGRAM
0PRECISION - EMPLOY  DEP VAR 1: TOTAL 
0-----------------ORDERED BY COMPUTER INPUT--------- ---------   ---------------------ORDERED BY RESIDUALS---------------------
 IDENT.  OBSV. WSS DISTANCE OBS. Y     FITTED Y     RESIDUAL   OBSV.      OBS. Y     FITTED Y  ORDERED RESID. STUD.RESID. SEQ
 JASA P  1947    2396    60323.000    60055.660      267.340   1956    67857.000    67401.606      455.394        1.8       1
 JASA R  1948    1799    61122.000    61216.014      -94.014   1961    69331.000    68989.068      341.932        1.4       2
 JASA E  1949    1345    60171.000    60124.713       46.287   1951    63221.000    62911.285      309.715        1.6       3
 JASA C  1950     889    61187.000    61597.115     -410.115   1947    60323.000    60055.660      267.340        1.2       4
 JASA I  1951     545    63221.000    62911.285      309.715   1949    60171.000    60124.713       46.287        0.2       5
 JASA S  1952     329    63639.000    63888.311     -249.311   1955    66019.000    66004.695       14.305        0.1       6
 JASA I  1953     175    64989.000    65153.049     -164.049   1954    63761.000    63774.180      -13.180       -0.1       7
 JASA O  1954      30    63761.000    63774.180      -13.180   1957    68169.000    68186.269      -17.269       -0.1       8
 JASA N  1955      16    66019.000    66004.695       14.305   1958    66513.000    66552.055      -39.055       -0.2       9
 JASA    1956     102    67857.000    67401.606      455.394   1960    69564.000    69649.671      -85.671       -0.3      10
 JASA T  1957     271    68169.000    68186.269      -17.269   1948    61122.000    61216.014      -94.014       -0.5      11
 JASA E  1958     584    66513.000    66552.055      -39.055   1959    68655.000    68810.550     -155.550       -0.6      12
 JASA S  1959     872    68655.000    68810.550     -155.550   1953    64989.000    65153.049     -164.049       -0.8      13
 JASA T  1960    1297    69564.000    69649.671      -85.671   1962    70551.000    70757.758     -206.758       -1.2      14
 JASA    1961    1874    69331.000    68989.068      341.932   1952    63639.000    63888.311     -249.311       -1.0      15
 JASA    1962    2446    70551.000    70757.758     -206.758   1950    61187.000    61597.115     -410.115       -1.7      16
1 PRECISION - EMPLOY  DEP VAR 1: TOTAL                 CUMULATIVE DISTRIBUTION OF RESIDUALS
                  .0002  .001  .005  .01 .02   .05  .1    .2   .3  .4  .5  .6  .7   .8    .9   .95  .98 .99 .995   .999
                    *-----*-------*--*---*-----*----*-----*----*---*---*---*---*----*-----*----*-----*---*--*-------*-----
                    I                                                  '                         +                       I
                    I                                                  '                                                 I
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                  O I                                                  '                                                 I
                  S I                                                  '                                                 I
                  I I                                                  '                                                 I
                  T I                                                  '                 +                               I
                  I I                                                  '                                                 I
                  V I                                                  '             +                                   I
                  E I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '          +                                      I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
      R             I                                                  '                                                 I
      E             I                                                  '                                                 I
      S             I                                                  '       +                                         I
      I             I                                                  '                                                 I
      D             I                                                  '    +                                            I
      U           0 I----------------------------------------------------------------------------------------------------I
      A             I                                                  '+ +                                              I
      L             I                                                + '                                                 I
      S             I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                              +   '                                                 I
                    I                                            +     '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                         +        '                                                 I
                    I                                      +           '                                                 I
                    I                                                  '                                                 I
                    I                                   +              '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                  N I                               +                  '                                                 I
                  E I                                                  '                                                 I
                  G I                                                  '                                                 I
                  A I                                                  '                                                 I
                  T I                                                  '                                                 I
                  I I                                                  '                                                 I
                  V I                                                  '                                                 I
                  E I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                       +                          '                                                 I
                    *-----*-------*--*---*-----*----*-----*----*---*---*---*---*----*-----*----*-----*---*--*-------*-----
                  .0002  .001  .005  .01 .02   .05  .1    .2   .3  .4  .5  .6  .7   .8    .9   .95  .98 .99 .995   .999
                                                       CUMULATIVE FREQUENCY, NORMAL GRID
1 PRECISION - EMPLOY  DEP VAR 1: TOTAL                       RESIDUAL VS. FITTED Y
               60055.660                                         65406.709                                         70757.758
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                                                                   +                                I
                    I                                                                                                    I
                  P I                                                                                                    I
                  O I                                                                                                    I
                  S I                                                                                                    I
                  I I                                                                                                    I
                  T I                                                                                  +                 I
                  I I                                                                                                    I
                  V I                         +                                                                          I
                  E I                                                                                                    I
                    I                                                                                                    I
                    I+                                                                                                   I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
      R             I                                                                                                    I
      E             I                                                                                                    I
      S             I+                                                                                                   I
      I             I                                                                                                    I
      D             I                                                      +                                             I
      U           0 I----------------------------------------------------------------------------------------------------I
      A             I                                 +                                         +                        I
      L             I                                                            +                                       I
      S             I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                         +          I
                    I         +                                                                                          I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                 +                  I
                    I                                              +                                                     I
                    I                                                                                                    I
                    I                                                                                                   +I
                    I                                                                                                    I
                    I                                                                                                    I
                  N I                                  +                                                                 I
                  E I                                                                                                    I
                  G I                                                                                                    I
                  A I                                                                                                    I
                  T I                                                                                                    I
                  I I                                                                                                    I
                  V I                                                                                                    I
                  E I                                                                                                    I
                    I                                                                                                    I
                    I             +                                                                                      I
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
               60055.660                                         65406.709                                         70757.758
                                                                   FITTED Y
1                                        CP VALUES FOR THE SELECTION OF VARIABLES

 PRECISION - EMPLOY   DEP VAR 1: TOTAL     SEARCH NUMBER 1

 SELECTION OF VARIABLES FOR BASIC EQUATION 
0CP =*****,  VARIABLE ADDED  4    ARMY
0CP =864.3,  VARIABLE ADDED  3  UNEMPY
0CP =  6.2,  VARIABLE ADDED  6    TIME
0CP =  3.2,  VARIABLE ADDED  2     GNP
0CP =  5.0,  VARIABLE ADDED  5  NONIST
0

 NUMBER OF VARIABLES IN FULL EQUATION       6
 NUMBER OF VARIABLES TO BE SEARCHED         4
 NUMBER OF VARIABLES IN BASIC EQUATION      2


0BASIC SET OF VARIABLES                   3       4  
                                     UNEMPY    ARMY  
0
 EQUATION   P   CP        RMS         VARIABLES IN EQUATION
0      1    5   4.6   89610.87709                    UNEMPY    ARMY  NONIST    TIME  
0      2    6   6.1   94273.03144     PRICE          UNEMPY    ARMY  NONIST    TIME  
0      3    7   7.0   92936.00617     PRICE     GNP  UNEMPY    ARMY  NONIST    TIME  
0      4    6   5.0   83934.80319               GNP  UNEMPY    ARMY  NONIST    TIME  
0      5    5   3.2   78061.85508               GNP  UNEMPY    ARMY            TIME  
0      6    6   5.1   84117.30036     PRICE     GNP  UNEMPY    ARMY            TIME  
0      7    4   6.2  110280.06189                    UNEMPY    ARMY            TIME  
0SWEEP NUMBER        15,  DELTA Z(K,K) =  1.E-19
1ESTIMATE OF VARIANCE
0RMS OF FULL EQUATION        92936.00616731
 RMS OF SUBSET EQUATION   5  78061.85507545
0RMS OF SUBSET EQUATION USED TO RECALCULATE AND PLOT CP VALUES.
0                      P   CP
 FULL EQUATION         7   8.7
 SUBSET EQUATION   5   5   5.0
0

  SEQ  EQUATION  P  ORDERED CP
    1       5    5      5.0
    2       1    5      6.6
    3       4    6      6.8
    4       6    6      6.8
    5       2    6      8.1
    6       3    7      8.7
    7       7    4      9.0
1 PRECISION - EMPLOY  DEP VAR 1: TOTAL                              CP PLOT
                     0    1    2    3    4    5    6    7    8    9   10   11   12   13   14   15   16   17   18   19   20
                     *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                  17 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  16 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  15 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  14 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  13 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  12 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  11 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                  10 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                   9 I                   +                                                                                I
          CP         I                                  +                                                                 I
                     I                                                                                                    I
                   8 I                             +                                                                      I
                     I                                                                                                    I
                     I                                                                                                    I
                   7 I                                                                                                    I
                     I                        +    +                                                                      I
                     I                                                                                                    I
                   6 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                   5 I                        +                                                                           I
                     I                                                                                                    I
                     I                                                                                                    I
                   4 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                   3 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                   2 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                   1 I                                                                                                    I
                     I                                                                                                    I
                     I                                                                                                    I
                   0 *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                     0    1    2    3    4    5    6    7    8    9   10   11   12   13   14   15   16   17   18   19   20
                                                                       P
1                                            LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 1981 VERSION OF THE LINWOOD 40 VARIABLE, 1000 OBSERVATION PROGRAM

 REFER TO FITTING EQUATIONS TO DATA BY DANIEL AND WOOD, SECOND EDITION, WILEY PUBLISHER,
 FOR GLOSSARY OF TERMS, USER'S MANUAL, DETAILS OF CALCULATIONS AND INTERPRETATION OF RESULTS.

0B0=0 BRNLEE BLOOD 

0                         CONTROL CARD INFORMATION                                               ORDER OF CARDS

 COL.  INPUT MAX. ITEM   (NOTE: BLANK ON CARD = 0)                             FIRST PROBLEM
  1-18            PROBLEM IDENTIFICATION.                                       1  CONTROL CARD.
 19-20   1        NUMBER OF INDEPENDENT VARIABLES READ IN                       2  FORMAT CARD(S), IF ANY.
                    (ALLOW SPACE FOR TRANSFORMATIONS).                          3  DELETE OBSERVATIONS CARD(S), IF ANY.
 21-22   1        NUMBER OF   DEPENDENT VARIABLES READ IN.                      4  INDICATOR-VARIABLE-OBSERVATIONS CARD(S), IF ANY.
         2    65  TOTAL NUMBER OF VARIABLES (BEFORE TRANSFORMATIONS, IF ANY).   5  TRANSFORMATION CARD(S), IF ANY.
    24            E CAUSES Y, FITTED Y AND RESIDUALS TO BE                      6  INFORMATION CARD(S) FOR PRINTOUT, IF ANY.
                      LISTED WITH AN E RATHER THAN AN F FORMAT.                 7  NAMES OF VARIABLES CARD(S) FOR PRINTOUT, IF ANY.
    25   0        1 DO TRANSFORMATIONS.                                         8  CP SELECTED SEARCH CARD(S), IF ANY.
    26   0        1 WEIGHT OBSERVATIONS. WEIGHT ENTERED IN LAST POSITION.       9  DATA CARDS (IF NOT READ FROM A FILE).
                  2 WEIGHT BY 1/VAR. OF OBSERVATION.  VARIANCE ENTERED.        10  END CARD (END IN COLUMNS 1 - 3 OF IDENTIFICATION
    27   1        1 LET B(0) = ZERO, OTHERWISE B(0) IS CALCULATED VALUE.            FIELD).  THE NUMBER OF END CARDS MUST EQUAL THE
    28   0        1 CHECK OBSERVATION NUMBER SEQUENCE.                              NUMBER OF CARDS PER OBSERVATION. (END CARDS
    29   0        1 CHECK SEQUENCE WITHIN OBSERVATION NUMBER.                       ARE NOT NEEDED IF DATA ARE READ FROM A FILE).
    30   0        1 DO BACK TRANSFORMATION OF DEPENDENT VARIABLE.              11  ESTIMATE OF VARIANCE CARD(S), IF ANY, FOR EACH
    31   0        1 PUNCH DATA FOR CONFIDENCE INTERVAL PROGRAM.                     DEPENDENT VARIABLE.
    32   0        0 LIST ALL INPUT DATA.
                  1 LIST ONLY 1ST OBSERVATION.
                  2 DO NOT LIST ANY INPUT DATA.                                SECOND PROBLEM
    33   0        0 LIST TRANSFORMATIONS AND ALL TRANSFORMED DATA.               IF DATA ARE REUSED FROM FIRST PROBLEM,
                  1 LIST TRANSFORMATIONS AND 1ST TRANSFORMED OBSERVATION.            DELETE THE FORMAT, DATA AND END CARDS.
                  2 DO NOT LIST TRANSFORMATIONS OR TRANSFORMED DATA.             IF NAMES ARE REUSED,
    34   0        1 DO NOT LIST SUMS OF VARIABLES.                                   DELETE THE NAME CARDS.
    35   0        1 DO NOT LIST RAW SUMS AND CROSS PRODUCTS WHEN B(O)=O.         IF DIFFERENT INPUT DATA AND NAMES,
    36   0        1 DO NOT LIST RESIDUAL SUMS AND CROSS PRODUCTS.                    REPEAT 1 - 11 ABOVE.
    37   0        1 DO NOT LIST MEANS AND ROOT MEAN SQUARES OF VARIABLES.
    38   0        1 DO NOT LIST SIMPLE CORRELATION COEFFICIENTS.         
    39   0        1 DO NOT LIST INVERSE MATRIX.
    40   0        1 DO NOT PRINT PLOTS OF RESIDUALS VS. FITTED Y.
                  2 PLOT (A) RESIDUALS AND (B) COMPONENT AND COMPONENT-
                     PLUS-RESIDUALS VS. EACH INDEPENDENT VARIABLE.
                  3 PLOT (A) RESIDUALS ONLY.
                  4 PLOT (B) COMPONENT AND COMPONENT-PLUS-RESIDUALS ONLY.
                  5 PLOT (B) BUT EXPAND SCALE TO FILL EACH PLOT.
                  TO OMIT PLOTS OF SPECIFIC INDEPENDENT VARIABLES, ON
                  THE TRANSFFORMATION CARDS PUT A 2 IN THE OMIT COLUMNS
                  OF THOSE VARIABLES.
    41   1        0 READ DATA WITH STANDARD FORMAT (A6, I4, I2, 10F6.3).
                  1 READ DATA WITH FORMAT TO BE READ, 1 CARD (72COL) ASSUMED.
                  2 READ DATA WITH READ DATA (REDATA) SUBROUTINE.
    42   1        0 DO NOT SAVE DATA FOR NEXT PROBLEM.
                  1 SAVE DATA FOR NEXT PROBLEM.
                  2 REUSE DATA FROM PREVIOUS PROBLEM.
 43-44   0        MAXIMUM NUMBER OF VARIABLES IN CP SEARCH IF GREATER THAN 12.
              18   STANDARD SEARCH,
              30   MODIFIED LEAPS AND BOUNDS SEARCH.
    45   0     8  NUMBER OF FORMAT CARDS IF GREATER THAN 1.
 46-47   5    12  NUMBER OF INFORMATION CARDS TO BE READ FOR DISPLAY ON
                   PRINTOUT IF DESIRED, 72 COL. EACH.
    48   1        1 READ NAMES OF VARIABLES FOR DISPLAY ON PRINTOUT.
                     NAMES IN SAME POSITIONS AS VARIABLES ON TRANSFORMATION
                     CARDS - COLS. 1-6, 11-16, - - - , 61-66.
                     NAMES ARE NOT MOVED, ONLY LISTED OR DELETED.
                  2 REUSE NAMES OF VARIABLES FROM PREVIOUS PROBLEM.
    49   0        CP SEARCH FOR CANDIDATE EQUATIONS.  USE ESTIMATE
                   OF VARIANCE (RMS) FROM:
                    1 FULL EQUATION,
                    2 SUBSET EQUATION WITH MINIMUM RMS VALUE, OR
                    3 ESTIMATE OF VARIANCE CARD, F16.8 FORMAT.
                    CP SEARCH BY MODIFIED LEAPS AND BOUNDS.
                    4 ESTIMATE RMS FROM 1 ABOVE,
                    5 ESTIMATE RMS FROM 2 ABOVE, OR
                    6 ESTIMATE RMS FROM 3 ABOVE.
    50   0     3  NUMBER OF CP SELECTED SEARCH CARDS TO BE READ.
                   KEYPUNCH WITH A 18(2X,I2) FORMAT IN ASCENDING ORDER
                   THE IDENTIFICATION NUMBER OF THE VARIABLES (AFTER
                   TRANSFORMATIONS) TO BE USED IN THAT SEARCH.
                   ALL OTHER VARIABLES WILL BE PLACED IN BASIC EQUATION.
                   IF THE TOTAL NUMBER OF VARIABLES TO BE SEARCHED IS
                   LARGE, GIVE TOTAL IN COLUMNS 43-44.
    51   0        1 LIST COMPONENT-EFFECT TABLE, REQUIRED X(I) PRECISION,
                     ESTIMATE OF STANDARD DEVIATION FROM NEAR NEIGHBORS,
                     AND FUNCTIONS OF FITTED Y.
                  2 LIST ONLY ESTIMATE OF STD. DEVIATION AND FUNCTIONS.
                  3 LIST ONLY FUNCTIONS OF FITTED Y.
 52-53   0        NUMBER OF FILE IF DATA ARE READ FROM SEPARATE FILE,
                   NO END CARD IF ONLY ONE SET OF DATA IS ON EACH FILE.
 54-55   0        NUMBER OF INDEPENDENT VARIABLES GREATER THAN THE 99
                   ALLOWED IN COLS 19-20.
 56-58   0        TO REDUCE PRINTOUT WITH MANY OBSERVATIONS,
                   NUMBER OF CENTRAL OBSERVATIONS AND RESIDUALS NOT
                   TO BE PRINTED.  THIS REQUIRES AN E IN COL 24.
    59   0        CROSS VERIFICATION OF MODEL AND COEFFICIENTS WITH A
                   SECOND SAMPLE OF DATA:
                    1 WRITE B(0) AND B(I)S ON FILE IN ONE PROBLEM
                       (TRANSFORMATIONS ARE NOT SAVED).
                    2 READ  B(0) AND B(I)S FROM FILE IN NEXT PROBLEM
                      WITH SECOND SET OF OBSERVATIONS.
    60   0     5  NUMBER OF DELETE-OBSERVATIONS CARDS.  KEYPUNCH
                   OBSERVATION NUMBER OF DATA TO BE DELETED IN ORDER READ
                   BY COMPUTER USING 7(I4,6X) FORMAT.
    61   0     5  NUMBER OF INDICATOR-VARIABLE-OBSERVATIONS CARDS.
                   USING A 7(I4,2X,I3,1X) FORMAT, KEYPUNCH OBSERVATION
                   NUMBER (IN ORDER READ) AND VARIABLE NUMBER (BEFORE
                   TRANSFORMATIONS) INTO WHICH A 1 IS TO BE INSERTED.
0EQUATION  1 OF A MULTI-EQUATION PROBLEM
0DATA READ WITH SPECIAL FORMAT
0FORMAT CARD 1 (A3,2I2,F5.0,F7.0)                                                      
0BZERO = 0
0INFORMATION CARDS
           PROBLEM FROM STATISTICAL THEORY AND METHODOLOGY BY BROWNLEE,            
           2ND EDITION, SECTION 11.4 .                                             
                    Y  =  B(1)X1                                                   
           Y  =  RATES OF BLOOD FLOW                                               
           X  =  MEASUREMENTS BY AN INSTRUMENT                                     
0NAMES OF VARIABLES
                A           B      
0
1                                LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 B0=0 BRNLEE BLOOD 


0DATA INPUT          1 INDEPENDENT VARIABLES    1 DEPENDENT VARIABLE(S)

 OBSV.  SEQ.   1-11-21    2-12-22    3-13-23    4-14-24    5-15-25    6-16-26    7-17-27    8-18-28    9-19-29   10-20-30
    1     0   1190.000   1115.000
    2     0   1455.000   1425.000
    3     0   1550.000   1515.000
    4     0   1730.000   1795.000
    5     0   1745.000   1715.000
    6     0   1770.000   1710.000
    7     0   1900.000   1830.000
    8     0   1920.000   1920.000
    9     0   1960.000   1970.000
   10     0   2295.000   2300.000
   11     0   2335.000   2280.000
   12     0   2490.000   2520.000
   13     0   2720.000   2630.000
   14     0   2710.000   2740.000
   15     0   2530.000   2390.000
   16     0   2900.000   2800.000
   17     0   2760.000   2630.000
   18     0   3010.000   2970.000
0SUMS OF VARIABLES
       3.89700E+04 3.82550E+04
0RAW SUMS OF SQUARES + CROSS PRODUCTS
           1-11-21     2-12-22     3-13-23     4-14-24     5-15-25     6-16-26     7-17-27     8-18-28     9-19-29    10-20-30
    1  8.93949E+07
    2  8.77191E+07 8.61258E+07
0MEANS OF VARIABLES
       2.16500E+03 2.12528E+03
0ROOT MEAN SQUARES OF VARIABLES
       2.29315E+03 2.25083E+03
0SIMPLE CORRELATION COEFFICIENTS, R(I,I PRIME)
    1        1.000
    2        1.000       1.000
0INVERSE, C(I,I PRIME)
    1        1.000
1                                      LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 B0=0 BRNLEE BLOOD   DEP VAR 1:      B                      MIN Y =  1.115E+03  MAX Y =  2.970E+03  RANGE Y =  1.855E+03

                   PROBLEM FROM STATISTICAL THEORY AND METHODOLOGY BY BROWNLEE,            
                   2ND EDITION, SECTION 11.4 .                                             
                            Y  =  B(1)X1                                                   
                   Y  =  RATES OF BLOOD FLOW                                               
                   X  =  MEASUREMENTS BY AN INSTRUMENT                                     
0IND.VAR(I)   NAME    COEF.B(I)      S.E. COEF.   T-VALUE   R(I)SQRD    MIN X(I)       MAX X(I)      RANGE X(I)  REL.INF.X(I)
      0              B(0) = 0
      1          A   9.81254E-01      5.80E-03    169.2      0.0000     1.190E+03      3.010E+03      1.820E+03      0.96
0NO. OF OBSERVATIONS              18
 NO. OF IND. VARIABLES             1
 RESIDUAL DEGREES OF FREEDOM      17
 RESIDUAL ROOT MEAN SQUARE        54.83150293
 RESIDUAL MEAN SQUARE           3006.49371332
 RESIDUAL SUM OF SQUARES       51110.39312645
 TOTAL SUM OF SQUARES        4823323.61111111
 MULT. CORREL. COEF. SQUARED        .9894
 ADJ. MULT. CORR. COEF. SQUARED     .9888
0-----------------ORDERED BY COMPUTER INPUT--------- ---------   ---------------------ORDERED BY RESIDUALS---------------------
 IDENT.  OBSV. WSS DISTANCE OBS. Y     FITTED Y     RESIDUAL   OBSV.      OBS. Y     FITTED Y  ORDERED RESID. STUD.RESID. SEQ
            1     304     1115.000     1167.692      -52.692      4     1795.000     1697.569       97.431        1.8       1
            2     161     1425.000     1427.725       -2.725     14     2740.000     2659.198       80.802        1.5       2
            3     121     1515.000     1520.944       -5.944     12     2520.000     2443.322       76.678        1.4       3
            4      61     1795.000     1697.569       97.431     10     2300.000     2251.978       48.022        0.9       4
            5      56     1715.000     1712.288        2.712      9     1970.000     1923.258       46.742        0.9       5
            6      50     1710.000     1736.820      -26.820      8     1920.000     1884.008       35.992        0.7       6
            7      22     1830.000     1864.383      -34.383     18     2970.000     2953.574       16.426        0.3       7
            8      19     1920.000     1884.008       35.992      5     1715.000     1712.288        2.712        0.1       8
            9      13     1970.000     1923.258       46.742      2     1425.000     1427.725       -2.725       -0.1       9
           10       5     2300.000     2251.978       48.022      3     1515.000     1520.944       -5.944       -0.1      10
           11       9     2280.000     2291.228      -11.228     11     2280.000     2291.228      -11.228       -0.2      11
           12      34     2520.000     2443.322       76.678      6     1710.000     1736.820      -26.820       -0.5      12
           13      99     2630.000     2669.011      -39.011      7     1830.000     1864.383      -34.383       -0.6      13
           14      95     2740.000     2659.198       80.802     13     2630.000     2669.011      -39.011       -0.7      14
           15      43     2390.000     2482.573      -92.573     16     2800.000     2845.636      -45.636       -0.9      15
           16     173     2800.000     2845.636      -45.636      1     1115.000     1167.692      -52.692       -1.0      16
           17     113     2630.000     2708.261      -78.261     17     2630.000     2708.261      -78.261       -1.5      17
           18     229     2970.000     2953.574       16.426     15     2390.000     2482.573      -92.573       -1.7      18
1 B0=0 BRNLEE BLOOD   DEP VAR 1:      B                CUMULATIVE DISTRIBUTION OF RESIDUALS
                  .0002  .001  .005  .01 .02   .05  .1    .2   .3  .4  .5  .6  .7   .8    .9   .95  .98 .99 .995   .999
                    *-----*-------*--*---*-----*----*-----*----*---*---*---*---*----*-----*----*-----*---*--*-------*-----
                    I                                                  '                          +                      I
                    I                                                  '                                                 I
                  P I                                                  '                                                 I
                  O I                                                  '                                                 I
                  S I                                                  '                  +                              I
                  I I                                                  '              +                                  I
                  T I                                                  '                                                 I
                  I I                                                  '                                                 I
                  V I                                                  '                                                 I
                  E I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '        +  +                                     I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '      +                                          I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
      R             I                                                  '    +                                            I
      E             I                                                  '                                                 I
      S             I                                                  '                                                 I
      I             I                                                  '                                                 I
      D             I                                                  '  +                                              I
      U           0 I--------------------------------------------------+-------------------------------------------------I
      A             I                                                 +'                                                 I
      L             I                                                  '                                                 I
      S             I                                              +   '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                            +     '                                                 I
                    I                                                  '                                                 I
                    I                                          +       '                                                 I
                    I                                        +         '                                                 I
                    I                                                  '                                                 I
                    I                                     +            '                                                 I
                    I                                                  '                                                 I
                    I                                  +               '                                                 I
                  N I                                                  '                                                 I
                  E I                                                  '                                                 I
                  G I                                                  '                                                 I
                  A I                                                  '                                                 I
                  T I                                                  '                                                 I
                  I I                              +                   '                                                 I
                  V I                                                  '                                                 I
                  E I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                      +                           '                                                 I
                    *-----*-------*--*---*-----*----*-----*----*---*---*---*---*----*-----*----*-----*---*--*-------*-----
                  .0002  .001  .005  .01 .02   .05  .1    .2   .3  .4  .5  .6  .7   .8    .9   .95  .98 .99 .995   .999
                                                       CUMULATIVE FREQUENCY, NORMAL GRID
1 B0=0 BRNLEE BLOOD   DEP VAR 1:      B                      RESIDUAL VS. FITTED Y
                1167.692                                          2060.633                                          2953.574
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                            +                                                                       I
                    I                                                                                                    I
                  P I                                                                                                    I
                  O I                                                                                                    I
                  S I                                                                                  +                 I
                  I I                                                                      +                             I
                  T I                                                                                                    I
                  I I                                                                                                    I
                  V I                                                                                                    I
                  E I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                         +                  +                                       I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                       +                                                            I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
      R             I                                                                                                   +I
      E             I                                                                                                    I
      S             I                                                                                                    I
      I             I                                                                                                    I
      D             I                             +                                                                      I
      U           0 I-------------+--------------------------------------------------------------------------------------I
      A             I                  +                                                                                 I
      L             I                                                                                                    I
      S             I                                                              +                                     I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                               +                                                                    I
                    I                                                                                                    I
                    I                                      +                                                             I
                    I                                                                                   +                I
                    I                                                                                                    I
                    I                                                                                             +      I
                    I                                                                                                    I
                    I+                                                                                                   I
                  N I                                                                                                    I
                  E I                                                                                                    I
                  G I                                                                                                    I
                  A I                                                                                                    I
                  T I                                                                                                    I
                  I I                                                                                     +              I
                  V I                                                                                                    I
                  E I                                                                                                    I
                    I                                                                                                    I
                    I                                                                        +                           I
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                1167.692                                          2060.633                                          2953.574
                                                                   FITTED Y
1                                            LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 1981 VERSION OF THE LINWOOD 40 VARIABLE, 1000 OBSERVATION PROGRAM

 REFER TO FITTING EQUATIONS TO DATA BY DANIEL AND WOOD, SECOND EDITION, WILEY PUBLISHER,
 FOR GLOSSARY OF TERMS, USER'S MANUAL, DETAILS OF CALCULATIONS AND INTERPRETATION OF RESULTS.

0B0=0 BB,SWITCHES=1

0                         CONTROL CARD INFORMATION                                               ORDER OF CARDS

 COL.  INPUT MAX. ITEM   (NOTE: BLANK ON CARD = 0)                             FIRST PROBLEM
  1-18            PROBLEM IDENTIFICATION.                                       1  CONTROL CARD.
 19-20   1        NUMBER OF INDEPENDENT VARIABLES READ IN                       2  FORMAT CARD(S), IF ANY.
                    (ALLOW SPACE FOR TRANSFORMATIONS).                          3  DELETE OBSERVATIONS CARD(S), IF ANY.
 21-22   1        NUMBER OF   DEPENDENT VARIABLES READ IN.                      4  INDICATOR-VARIABLE-OBSERVATIONS CARD(S), IF ANY.
         2    65  TOTAL NUMBER OF VARIABLES (BEFORE TRANSFORMATIONS, IF ANY).   5  TRANSFORMATION CARD(S), IF ANY.
    24            E CAUSES Y, FITTED Y AND RESIDUALS TO BE                      6  INFORMATION CARD(S) FOR PRINTOUT, IF ANY.
                      LISTED WITH AN E RATHER THAN AN F FORMAT.                 7  NAMES OF VARIABLES CARD(S) FOR PRINTOUT, IF ANY.
    25   0        1 DO TRANSFORMATIONS.                                         8  CP SELECTED SEARCH CARD(S), IF ANY.
    26   0        1 WEIGHT OBSERVATIONS. WEIGHT ENTERED IN LAST POSITION.       9  DATA CARDS (IF NOT READ FROM A FILE).
                  2 WEIGHT BY 1/VAR. OF OBSERVATION.  VARIANCE ENTERED.        10  END CARD (END IN COLUMNS 1 - 3 OF IDENTIFICATION
    27   1        1 LET B(0) = ZERO, OTHERWISE B(0) IS CALCULATED VALUE.            FIELD).  THE NUMBER OF END CARDS MUST EQUAL THE
    28   0        1 CHECK OBSERVATION NUMBER SEQUENCE.                              NUMBER OF CARDS PER OBSERVATION. (END CARDS
    29   0        1 CHECK SEQUENCE WITHIN OBSERVATION NUMBER.                       ARE NOT NEEDED IF DATA ARE READ FROM A FILE).
    30   0        1 DO BACK TRANSFORMATION OF DEPENDENT VARIABLE.              11  ESTIMATE OF VARIANCE CARD(S), IF ANY, FOR EACH
    31   0        1 PUNCH DATA FOR CONFIDENCE INTERVAL PROGRAM.                     DEPENDENT VARIABLE.
    32   1        0 LIST ALL INPUT DATA.
                  1 LIST ONLY 1ST OBSERVATION.
                  2 DO NOT LIST ANY INPUT DATA.                                SECOND PROBLEM
    33   1        0 LIST TRANSFORMATIONS AND ALL TRANSFORMED DATA.               IF DATA ARE REUSED FROM FIRST PROBLEM,
                  1 LIST TRANSFORMATIONS AND 1ST TRANSFORMED OBSERVATION.            DELETE THE FORMAT, DATA AND END CARDS.
                  2 DO NOT LIST TRANSFORMATIONS OR TRANSFORMED DATA.             IF NAMES ARE REUSED,
    34   1        1 DO NOT LIST SUMS OF VARIABLES.                                   DELETE THE NAME CARDS.
    35   1        1 DO NOT LIST RAW SUMS AND CROSS PRODUCTS WHEN B(O)=O.         IF DIFFERENT INPUT DATA AND NAMES,
    36   1        1 DO NOT LIST RESIDUAL SUMS AND CROSS PRODUCTS.                    REPEAT 1 - 11 ABOVE.
    37   1        1 DO NOT LIST MEANS AND ROOT MEAN SQUARES OF VARIABLES.
    38   1        1 DO NOT LIST SIMPLE CORRELATION COEFFICIENTS.         
    39   1        1 DO NOT LIST INVERSE MATRIX.
    40   1        1 DO NOT PRINT PLOTS OF RESIDUALS VS. FITTED Y.
                  2 PLOT (A) RESIDUALS AND (B) COMPONENT AND COMPONENT-
                     PLUS-RESIDUALS VS. EACH INDEPENDENT VARIABLE.
                  3 PLOT (A) RESIDUALS ONLY.
                  4 PLOT (B) COMPONENT AND COMPONENT-PLUS-RESIDUALS ONLY.
                  5 PLOT (B) BUT EXPAND SCALE TO FILL EACH PLOT.
                  TO OMIT PLOTS OF SPECIFIC INDEPENDENT VARIABLES, ON
                  THE TRANSFFORMATION CARDS PUT A 2 IN THE OMIT COLUMNS
                  OF THOSE VARIABLES.
    41   0        0 READ DATA WITH STANDARD FORMAT (A6, I4, I2, 10F6.3).
                  1 READ DATA WITH FORMAT TO BE READ, 1 CARD (72COL) ASSUMED.
                  2 READ DATA WITH READ DATA (REDATA) SUBROUTINE.
    42   2        0 DO NOT SAVE DATA FOR NEXT PROBLEM.
                  1 SAVE DATA FOR NEXT PROBLEM.
                  2 REUSE DATA FROM PREVIOUS PROBLEM.
 43-44   0        MAXIMUM NUMBER OF VARIABLES IN CP SEARCH IF GREATER THAN 12.
              18   STANDARD SEARCH,
              30   MODIFIED LEAPS AND BOUNDS SEARCH.
    45   0     8  NUMBER OF FORMAT CARDS IF GREATER THAN 1.
 46-47   0    12  NUMBER OF INFORMATION CARDS TO BE READ FOR DISPLAY ON
                   PRINTOUT IF DESIRED, 72 COL. EACH.
    48   2        1 READ NAMES OF VARIABLES FOR DISPLAY ON PRINTOUT.
                     NAMES IN SAME POSITIONS AS VARIABLES ON TRANSFORMATION
                     CARDS - COLS. 1-6, 11-16, - - - , 61-66.
                     NAMES ARE NOT MOVED, ONLY LISTED OR DELETED.
                  2 REUSE NAMES OF VARIABLES FROM PREVIOUS PROBLEM.
    49   0        CP SEARCH FOR CANDIDATE EQUATIONS.  USE ESTIMATE
                   OF VARIANCE (RMS) FROM:
                    1 FULL EQUATION,
                    2 SUBSET EQUATION WITH MINIMUM RMS VALUE, OR
                    3 ESTIMATE OF VARIANCE CARD, F16.8 FORMAT.
                    CP SEARCH BY MODIFIED LEAPS AND BOUNDS.
                    4 ESTIMATE RMS FROM 1 ABOVE,
                    5 ESTIMATE RMS FROM 2 ABOVE, OR
                    6 ESTIMATE RMS FROM 3 ABOVE.
    50   0     3  NUMBER OF CP SELECTED SEARCH CARDS TO BE READ.
                   KEYPUNCH WITH A 18(2X,I2) FORMAT IN ASCENDING ORDER
                   THE IDENTIFICATION NUMBER OF THE VARIABLES (AFTER
                   TRANSFORMATIONS) TO BE USED IN THAT SEARCH.
                   ALL OTHER VARIABLES WILL BE PLACED IN BASIC EQUATION.
                   IF THE TOTAL NUMBER OF VARIABLES TO BE SEARCHED IS
                   LARGE, GIVE TOTAL IN COLUMNS 43-44.
    51   0        1 LIST COMPONENT-EFFECT TABLE, REQUIRED X(I) PRECISION,
                     ESTIMATE OF STANDARD DEVIATION FROM NEAR NEIGHBORS,
                     AND FUNCTIONS OF FITTED Y.
                  2 LIST ONLY ESTIMATE OF STD. DEVIATION AND FUNCTIONS.
                  3 LIST ONLY FUNCTIONS OF FITTED Y.
 52-53   0        NUMBER OF FILE IF DATA ARE READ FROM SEPARATE FILE,
                   NO END CARD IF ONLY ONE SET OF DATA IS ON EACH FILE.
 54-55   0        NUMBER OF INDEPENDENT VARIABLES GREATER THAN THE 99
                   ALLOWED IN COLS 19-20.
 56-58   0        TO REDUCE PRINTOUT WITH MANY OBSERVATIONS,
                   NUMBER OF CENTRAL OBSERVATIONS AND RESIDUALS NOT
                   TO BE PRINTED.  THIS REQUIRES AN E IN COL 24.
    59   0        CROSS VERIFICATION OF MODEL AND COEFFICIENTS WITH A
                   SECOND SAMPLE OF DATA:
                    1 WRITE B(0) AND B(I)S ON FILE IN ONE PROBLEM
                       (TRANSFORMATIONS ARE NOT SAVED).
                    2 READ  B(0) AND B(I)S FROM FILE IN NEXT PROBLEM
                      WITH SECOND SET OF OBSERVATIONS.
    60   0     5  NUMBER OF DELETE-OBSERVATIONS CARDS.  KEYPUNCH
                   OBSERVATION NUMBER OF DATA TO BE DELETED IN ORDER READ
                   BY COMPUTER USING 7(I4,6X) FORMAT.
    61   0     5  NUMBER OF INDICATOR-VARIABLE-OBSERVATIONS CARDS.
                   USING A 7(I4,2X,I3,1X) FORMAT, KEYPUNCH OBSERVATION
                   NUMBER (IN ORDER READ) AND VARIABLE NUMBER (BEFORE
                   TRANSFORMATIONS) INTO WHICH A 1 IS TO BE INSERTED.
0EQUATION  2 OF A MULTI-EQUATION PROBLEM
0BZERO = 0
0NAMES OF VARIABLES
                A           B      
0
1                                LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 B0=0 BB,SWITCHES=1


0DATA INPUT          1 INDEPENDENT VARIABLES    1 DEPENDENT VARIABLE(S)

 OBSV.  SEQ.   1-11-21    2-12-22    3-13-23    4-14-24    5-15-25    6-16-26    7-17-27    8-18-28    9-19-29   10-20-30
    1     0   1190.000   1115.000
1                                      LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 B0=0 BB,SWITCHES=1  DEP VAR 1:      B                      MIN Y =  1.115E+03  MAX Y =  2.970E+03  RANGE Y =  1.855E+03

0IND.VAR(I)   NAME    COEF.B(I)      S.E. COEF.   T-VALUE   R(I)SQRD    MIN X(I)       MAX X(I)      RANGE X(I)  REL.INF.X(I)
      0              B(0) = 0
      1          A   9.81254E-01      5.80E-03    169.2      0.0000     1.190E+03      3.010E+03      1.820E+03      0.96
0NO. OF OBSERVATIONS              18
 NO. OF IND. VARIABLES             1
 RESIDUAL DEGREES OF FREEDOM      17
 RESIDUAL ROOT MEAN SQUARE        54.83150293
 RESIDUAL MEAN SQUARE           3006.49371332
 RESIDUAL SUM OF SQUARES       51110.39312645
 TOTAL SUM OF SQUARES        4823323.61111111
 MULT. CORREL. COEF. SQUARED        .9894
 ADJ. MULT. CORR. COEF. SQUARED     .9888
0-----------------ORDERED BY COMPUTER INPUT--------- ---------   ---------------------ORDERED BY RESIDUALS---------------------
 IDENT.  OBSV. WSS DISTANCE OBS. Y     FITTED Y     RESIDUAL   OBSV.      OBS. Y     FITTED Y  ORDERED RESID. STUD.RESID. SEQ
            1     304     1115.000     1167.692      -52.692      4     1795.000     1697.569       97.431        1.8       1
            2     161     1425.000     1427.725       -2.725     14     2740.000     2659.198       80.802        1.5       2
            3     121     1515.000     1520.944       -5.944     12     2520.000     2443.322       76.678        1.4       3
            4      61     1795.000     1697.569       97.431     10     2300.000     2251.978       48.022        0.9       4
            5      56     1715.000     1712.288        2.712      9     1970.000     1923.258       46.742        0.9       5
            6      50     1710.000     1736.820      -26.820      8     1920.000     1884.008       35.992        0.7       6
            7      22     1830.000     1864.383      -34.383     18     2970.000     2953.574       16.426        0.3       7
            8      19     1920.000     1884.008       35.992      5     1715.000     1712.288        2.712        0.1       8
            9      13     1970.000     1923.258       46.742      2     1425.000     1427.725       -2.725       -0.1       9
           10       5     2300.000     2251.978       48.022      3     1515.000     1520.944       -5.944       -0.1      10
           11       9     2280.000     2291.228      -11.228     11     2280.000     2291.228      -11.228       -0.2      11
           12      34     2520.000     2443.322       76.678      6     1710.000     1736.820      -26.820       -0.5      12
           13      99     2630.000     2669.011      -39.011      7     1830.000     1864.383      -34.383       -0.6      13
           14      95     2740.000     2659.198       80.802     13     2630.000     2669.011      -39.011       -0.7      14
           15      43     2390.000     2482.573      -92.573     16     2800.000     2845.636      -45.636       -0.9      15
           16     173     2800.000     2845.636      -45.636      1     1115.000     1167.692      -52.692       -1.0      16
           17     113     2630.000     2708.261      -78.261     17     2630.000     2708.261      -78.261       -1.5      17
           18     229     2970.000     2953.574       16.426     15     2390.000     2482.573      -92.573       -1.7      18
1                                            LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 1981 VERSION OF THE LINWOOD 40 VARIABLE, 1000 OBSERVATION PROGRAM

 REFER TO FITTING EQUATIONS TO DATA BY DANIEL AND WOOD, SECOND EDITION, WILEY PUBLISHER,
 FOR GLOSSARY OF TERMS, USER'S MANUAL, DETAILS OF CALCULATIONS AND INTERPRETATION OF RESULTS.

0Y IS CONSTANT     

0                         CONTROL CARD INFORMATION                                               ORDER OF CARDS

 COL.  INPUT MAX. ITEM   (NOTE: BLANK ON CARD = 0)                             FIRST PROBLEM
  1-18            PROBLEM IDENTIFICATION.                                       1  CONTROL CARD.
 19-20   1        NUMBER OF INDEPENDENT VARIABLES READ IN                       2  FORMAT CARD(S), IF ANY.
                    (ALLOW SPACE FOR TRANSFORMATIONS).                          3  DELETE OBSERVATIONS CARD(S), IF ANY.
 21-22   1        NUMBER OF   DEPENDENT VARIABLES READ IN.                      4  INDICATOR-VARIABLE-OBSERVATIONS CARD(S), IF ANY.
         2    65  TOTAL NUMBER OF VARIABLES (BEFORE TRANSFORMATIONS, IF ANY).   5  TRANSFORMATION CARD(S), IF ANY.
    24            E CAUSES Y, FITTED Y AND RESIDUALS TO BE                      6  INFORMATION CARD(S) FOR PRINTOUT, IF ANY.
                      LISTED WITH AN E RATHER THAN AN F FORMAT.                 7  NAMES OF VARIABLES CARD(S) FOR PRINTOUT, IF ANY.
    25   0        1 DO TRANSFORMATIONS.                                         8  CP SELECTED SEARCH CARD(S), IF ANY.
    26   0        1 WEIGHT OBSERVATIONS. WEIGHT ENTERED IN LAST POSITION.       9  DATA CARDS (IF NOT READ FROM A FILE).
                  2 WEIGHT BY 1/VAR. OF OBSERVATION.  VARIANCE ENTERED.        10  END CARD (END IN COLUMNS 1 - 3 OF IDENTIFICATION
    27   0        1 LET B(0) = ZERO, OTHERWISE B(0) IS CALCULATED VALUE.            FIELD).  THE NUMBER OF END CARDS MUST EQUAL THE
    28   0        1 CHECK OBSERVATION NUMBER SEQUENCE.                              NUMBER OF CARDS PER OBSERVATION. (END CARDS
    29   0        1 CHECK SEQUENCE WITHIN OBSERVATION NUMBER.                       ARE NOT NEEDED IF DATA ARE READ FROM A FILE).
    30   0        1 DO BACK TRANSFORMATION OF DEPENDENT VARIABLE.              11  ESTIMATE OF VARIANCE CARD(S), IF ANY, FOR EACH
    31   0        1 PUNCH DATA FOR CONFIDENCE INTERVAL PROGRAM.                     DEPENDENT VARIABLE.
    32   0        0 LIST ALL INPUT DATA.
                  1 LIST ONLY 1ST OBSERVATION.
                  2 DO NOT LIST ANY INPUT DATA.                                SECOND PROBLEM
    33   0        0 LIST TRANSFORMATIONS AND ALL TRANSFORMED DATA.               IF DATA ARE REUSED FROM FIRST PROBLEM,
                  1 LIST TRANSFORMATIONS AND 1ST TRANSFORMED OBSERVATION.            DELETE THE FORMAT, DATA AND END CARDS.
                  2 DO NOT LIST TRANSFORMATIONS OR TRANSFORMED DATA.             IF NAMES ARE REUSED,
    34   0        1 DO NOT LIST SUMS OF VARIABLES.                                   DELETE THE NAME CARDS.
    35   0        1 DO NOT LIST RAW SUMS AND CROSS PRODUCTS WHEN B(O)=O.         IF DIFFERENT INPUT DATA AND NAMES,
    36   0        1 DO NOT LIST RESIDUAL SUMS AND CROSS PRODUCTS.                    REPEAT 1 - 11 ABOVE.
    37   0        1 DO NOT LIST MEANS AND ROOT MEAN SQUARES OF VARIABLES.
    38   0        1 DO NOT LIST SIMPLE CORRELATION COEFFICIENTS.         
    39   0        1 DO NOT LIST INVERSE MATRIX.
    40   0        1 DO NOT PRINT PLOTS OF RESIDUALS VS. FITTED Y.
                  2 PLOT (A) RESIDUALS AND (B) COMPONENT AND COMPONENT-
                     PLUS-RESIDUALS VS. EACH INDEPENDENT VARIABLE.
                  3 PLOT (A) RESIDUALS ONLY.
                  4 PLOT (B) COMPONENT AND COMPONENT-PLUS-RESIDUALS ONLY.
                  5 PLOT (B) BUT EXPAND SCALE TO FILL EACH PLOT.
                  TO OMIT PLOTS OF SPECIFIC INDEPENDENT VARIABLES, ON
                  THE TRANSFFORMATION CARDS PUT A 2 IN THE OMIT COLUMNS
                  OF THOSE VARIABLES.
    41   0        0 READ DATA WITH STANDARD FORMAT (A6, I4, I2, 10F6.3).
                  1 READ DATA WITH FORMAT TO BE READ, 1 CARD (72COL) ASSUMED.
                  2 READ DATA WITH READ DATA (REDATA) SUBROUTINE.
    42   0        0 DO NOT SAVE DATA FOR NEXT PROBLEM.
                  1 SAVE DATA FOR NEXT PROBLEM.
                  2 REUSE DATA FROM PREVIOUS PROBLEM.
 43-44   0        MAXIMUM NUMBER OF VARIABLES IN CP SEARCH IF GREATER THAN 12.
              18   STANDARD SEARCH,
              30   MODIFIED LEAPS AND BOUNDS SEARCH.
    45   0     8  NUMBER OF FORMAT CARDS IF GREATER THAN 1.
 46-47   0    12  NUMBER OF INFORMATION CARDS TO BE READ FOR DISPLAY ON
                   PRINTOUT IF DESIRED, 72 COL. EACH.
    48   0        1 READ NAMES OF VARIABLES FOR DISPLAY ON PRINTOUT.
                     NAMES IN SAME POSITIONS AS VARIABLES ON TRANSFORMATION
                     CARDS - COLS. 1-6, 11-16, - - - , 61-66.
                     NAMES ARE NOT MOVED, ONLY LISTED OR DELETED.
                  2 REUSE NAMES OF VARIABLES FROM PREVIOUS PROBLEM.
    49   0        CP SEARCH FOR CANDIDATE EQUATIONS.  USE ESTIMATE
                   OF VARIANCE (RMS) FROM:
                    1 FULL EQUATION,
                    2 SUBSET EQUATION WITH MINIMUM RMS VALUE, OR
                    3 ESTIMATE OF VARIANCE CARD, F16.8 FORMAT.
                    CP SEARCH BY MODIFIED LEAPS AND BOUNDS.
                    4 ESTIMATE RMS FROM 1 ABOVE,
                    5 ESTIMATE RMS FROM 2 ABOVE, OR
                    6 ESTIMATE RMS FROM 3 ABOVE.
    50   0     3  NUMBER OF CP SELECTED SEARCH CARDS TO BE READ.
                   KEYPUNCH WITH A 18(2X,I2) FORMAT IN ASCENDING ORDER
                   THE IDENTIFICATION NUMBER OF THE VARIABLES (AFTER
                   TRANSFORMATIONS) TO BE USED IN THAT SEARCH.
                   ALL OTHER VARIABLES WILL BE PLACED IN BASIC EQUATION.
                   IF THE TOTAL NUMBER OF VARIABLES TO BE SEARCHED IS
                   LARGE, GIVE TOTAL IN COLUMNS 43-44.
    51   0        1 LIST COMPONENT-EFFECT TABLE, REQUIRED X(I) PRECISION,
                     ESTIMATE OF STANDARD DEVIATION FROM NEAR NEIGHBORS,
                     AND FUNCTIONS OF FITTED Y.
                  2 LIST ONLY ESTIMATE OF STD. DEVIATION AND FUNCTIONS.
                  3 LIST ONLY FUNCTIONS OF FITTED Y.
 52-53   0        NUMBER OF FILE IF DATA ARE READ FROM SEPARATE FILE,
                   NO END CARD IF ONLY ONE SET OF DATA IS ON EACH FILE.
 54-55   0        NUMBER OF INDEPENDENT VARIABLES GREATER THAN THE 99
                   ALLOWED IN COLS 19-20.
 56-58   0        TO REDUCE PRINTOUT WITH MANY OBSERVATIONS,
                   NUMBER OF CENTRAL OBSERVATIONS AND RESIDUALS NOT
                   TO BE PRINTED.  THIS REQUIRES AN E IN COL 24.
    59   0        CROSS VERIFICATION OF MODEL AND COEFFICIENTS WITH A
                   SECOND SAMPLE OF DATA:
                    1 WRITE B(0) AND B(I)S ON FILE IN ONE PROBLEM
                       (TRANSFORMATIONS ARE NOT SAVED).
                    2 READ  B(0) AND B(I)S FROM FILE IN NEXT PROBLEM
                      WITH SECOND SET OF OBSERVATIONS.
    60   0     5  NUMBER OF DELETE-OBSERVATIONS CARDS.  KEYPUNCH
                   OBSERVATION NUMBER OF DATA TO BE DELETED IN ORDER READ
                   BY COMPUTER USING 7(I4,6X) FORMAT.
    61   0     5  NUMBER OF INDICATOR-VARIABLE-OBSERVATIONS CARDS.
                   USING A 7(I4,2X,I3,1X) FORMAT, KEYPUNCH OBSERVATION
                   NUMBER (IN ORDER READ) AND VARIABLE NUMBER (BEFORE
                   TRANSFORMATIONS) INTO WHICH A 1 IS TO BE INSERTED.
0PROBLEM HAS ONE EQUATION
0DATA READ WITH STANDARD FORMAT (A6, I4, I2, 10F6.3)
0BZERO = CALCULATED VALUE
0NAMES OF VARIABLES
                                   
0
1                                LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 Y IS CONSTANT     


0DATA INPUT          1 INDEPENDENT VARIABLES    1 DEPENDENT VARIABLE(S)

 OBSV.  SEQ.   1-11-21    2-12-22    3-13-23    4-14-24    5-15-25    6-16-26    7-17-27    8-18-28    9-19-29   10-20-30
    0     0      1.000      3.000
    0     0      2.000      3.000
    0     0      3.000      3.000
    0     0      3.000      3.000
    0     0      4.000      3.000
    0     0      5.000      3.000
    0     0      6.000      3.000
    0     0      7.000      3.000
    0     0      8.000      3.000
    0     0      9.000      3.000
0SUMS OF VARIABLES
       4.80000E+01 3.00000E+01
0RESIDUAL SUMS OF SQUARES + CROSS PRODUCTS
    1  6.36000E+01
    2  0.00000E+00 0.00000E+00
0RESIDUAL DIFFERENCE FOR VARIABLE  2 IS ZERO. VARIABLE IS CONSTANT.
 PROBLEM SKIPPED
1                                            LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 1981 VERSION OF THE LINWOOD 40 VARIABLE, 1000 OBSERVATION PROGRAM

 REFER TO FITTING EQUATIONS TO DATA BY DANIEL AND WOOD, SECOND EDITION, WILEY PUBLISHER,
 FOR GLOSSARY OF TERMS, USER'S MANUAL, DETAILS OF CALCULATIONS AND INTERPRETATION OF RESULTS.

0VAR3 = VAR4       

0                         CONTROL CARD INFORMATION                                               ORDER OF CARDS

 COL.  INPUT MAX. ITEM   (NOTE: BLANK ON CARD = 0)                             FIRST PROBLEM
  1-18            PROBLEM IDENTIFICATION.                                       1  CONTROL CARD.
 19-20   4        NUMBER OF INDEPENDENT VARIABLES READ IN                       2  FORMAT CARD(S), IF ANY.
                    (ALLOW SPACE FOR TRANSFORMATIONS).                          3  DELETE OBSERVATIONS CARD(S), IF ANY.
 21-22   1        NUMBER OF   DEPENDENT VARIABLES READ IN.                      4  INDICATOR-VARIABLE-OBSERVATIONS CARD(S), IF ANY.
         5    65  TOTAL NUMBER OF VARIABLES (BEFORE TRANSFORMATIONS, IF ANY).   5  TRANSFORMATION CARD(S), IF ANY.
    24            E CAUSES Y, FITTED Y AND RESIDUALS TO BE                      6  INFORMATION CARD(S) FOR PRINTOUT, IF ANY.
                      LISTED WITH AN E RATHER THAN AN F FORMAT.                 7  NAMES OF VARIABLES CARD(S) FOR PRINTOUT, IF ANY.
    25   0        1 DO TRANSFORMATIONS.                                         8  CP SELECTED SEARCH CARD(S), IF ANY.
    26   0        1 WEIGHT OBSERVATIONS. WEIGHT ENTERED IN LAST POSITION.       9  DATA CARDS (IF NOT READ FROM A FILE).
                  2 WEIGHT BY 1/VAR. OF OBSERVATION.  VARIANCE ENTERED.        10  END CARD (END IN COLUMNS 1 - 3 OF IDENTIFICATION
    27   0        1 LET B(0) = ZERO, OTHERWISE B(0) IS CALCULATED VALUE.            FIELD).  THE NUMBER OF END CARDS MUST EQUAL THE
    28   0        1 CHECK OBSERVATION NUMBER SEQUENCE.                              NUMBER OF CARDS PER OBSERVATION. (END CARDS
    29   0        1 CHECK SEQUENCE WITHIN OBSERVATION NUMBER.                       ARE NOT NEEDED IF DATA ARE READ FROM A FILE).
    30   0        1 DO BACK TRANSFORMATION OF DEPENDENT VARIABLE.              11  ESTIMATE OF VARIANCE CARD(S), IF ANY, FOR EACH
    31   0        1 PUNCH DATA FOR CONFIDENCE INTERVAL PROGRAM.                     DEPENDENT VARIABLE.
    32   0        0 LIST ALL INPUT DATA.
                  1 LIST ONLY 1ST OBSERVATION.
                  2 DO NOT LIST ANY INPUT DATA.                                SECOND PROBLEM
    33   0        0 LIST TRANSFORMATIONS AND ALL TRANSFORMED DATA.               IF DATA ARE REUSED FROM FIRST PROBLEM,
                  1 LIST TRANSFORMATIONS AND 1ST TRANSFORMED OBSERVATION.            DELETE THE FORMAT, DATA AND END CARDS.
                  2 DO NOT LIST TRANSFORMATIONS OR TRANSFORMED DATA.             IF NAMES ARE REUSED,
    34   0        1 DO NOT LIST SUMS OF VARIABLES.                                   DELETE THE NAME CARDS.
    35   0        1 DO NOT LIST RAW SUMS AND CROSS PRODUCTS WHEN B(O)=O.         IF DIFFERENT INPUT DATA AND NAMES,
    36   0        1 DO NOT LIST RESIDUAL SUMS AND CROSS PRODUCTS.                    REPEAT 1 - 11 ABOVE.
    37   0        1 DO NOT LIST MEANS AND ROOT MEAN SQUARES OF VARIABLES.
    38   0        1 DO NOT LIST SIMPLE CORRELATION COEFFICIENTS.         
    39   0        1 DO NOT LIST INVERSE MATRIX.
    40   0        1 DO NOT PRINT PLOTS OF RESIDUALS VS. FITTED Y.
                  2 PLOT (A) RESIDUALS AND (B) COMPONENT AND COMPONENT-
                     PLUS-RESIDUALS VS. EACH INDEPENDENT VARIABLE.
                  3 PLOT (A) RESIDUALS ONLY.
                  4 PLOT (B) COMPONENT AND COMPONENT-PLUS-RESIDUALS ONLY.
                  5 PLOT (B) BUT EXPAND SCALE TO FILL EACH PLOT.
                  TO OMIT PLOTS OF SPECIFIC INDEPENDENT VARIABLES, ON
                  THE TRANSFFORMATION CARDS PUT A 2 IN THE OMIT COLUMNS
                  OF THOSE VARIABLES.
    41   1        0 READ DATA WITH STANDARD FORMAT (A6, I4, I2, 10F6.3).
                  1 READ DATA WITH FORMAT TO BE READ, 1 CARD (72COL) ASSUMED.
                  2 READ DATA WITH READ DATA (REDATA) SUBROUTINE.
    42   0        0 DO NOT SAVE DATA FOR NEXT PROBLEM.
                  1 SAVE DATA FOR NEXT PROBLEM.
                  2 REUSE DATA FROM PREVIOUS PROBLEM.
 43-44   0        MAXIMUM NUMBER OF VARIABLES IN CP SEARCH IF GREATER THAN 12.
              18   STANDARD SEARCH,
              30   MODIFIED LEAPS AND BOUNDS SEARCH.
    45   0     8  NUMBER OF FORMAT CARDS IF GREATER THAN 1.
 46-47   0    12  NUMBER OF INFORMATION CARDS TO BE READ FOR DISPLAY ON
                   PRINTOUT IF DESIRED, 72 COL. EACH.
    48   0        1 READ NAMES OF VARIABLES FOR DISPLAY ON PRINTOUT.
                     NAMES IN SAME POSITIONS AS VARIABLES ON TRANSFORMATION
                     CARDS - COLS. 1-6, 11-16, - - - , 61-66.
                     NAMES ARE NOT MOVED, ONLY LISTED OR DELETED.
                  2 REUSE NAMES OF VARIABLES FROM PREVIOUS PROBLEM.
    49   0        CP SEARCH FOR CANDIDATE EQUATIONS.  USE ESTIMATE
                   OF VARIANCE (RMS) FROM:
                    1 FULL EQUATION,
                    2 SUBSET EQUATION WITH MINIMUM RMS VALUE, OR
                    3 ESTIMATE OF VARIANCE CARD, F16.8 FORMAT.
                    CP SEARCH BY MODIFIED LEAPS AND BOUNDS.
                    4 ESTIMATE RMS FROM 1 ABOVE,
                    5 ESTIMATE RMS FROM 2 ABOVE, OR
                    6 ESTIMATE RMS FROM 3 ABOVE.
    50   0     3  NUMBER OF CP SELECTED SEARCH CARDS TO BE READ.
                   KEYPUNCH WITH A 18(2X,I2) FORMAT IN ASCENDING ORDER
                   THE IDENTIFICATION NUMBER OF THE VARIABLES (AFTER
                   TRANSFORMATIONS) TO BE USED IN THAT SEARCH.
                   ALL OTHER VARIABLES WILL BE PLACED IN BASIC EQUATION.
                   IF THE TOTAL NUMBER OF VARIABLES TO BE SEARCHED IS
                   LARGE, GIVE TOTAL IN COLUMNS 43-44.
    51   0        1 LIST COMPONENT-EFFECT TABLE, REQUIRED X(I) PRECISION,
                     ESTIMATE OF STANDARD DEVIATION FROM NEAR NEIGHBORS,
                     AND FUNCTIONS OF FITTED Y.
                  2 LIST ONLY ESTIMATE OF STD. DEVIATION AND FUNCTIONS.
                  3 LIST ONLY FUNCTIONS OF FITTED Y.
 52-53   0        NUMBER OF FILE IF DATA ARE READ FROM SEPARATE FILE,
                   NO END CARD IF ONLY ONE SET OF DATA IS ON EACH FILE.
 54-55   0        NUMBER OF INDEPENDENT VARIABLES GREATER THAN THE 99
                   ALLOWED IN COLS 19-20.
 56-58   0        TO REDUCE PRINTOUT WITH MANY OBSERVATIONS,
                   NUMBER OF CENTRAL OBSERVATIONS AND RESIDUALS NOT
                   TO BE PRINTED.  THIS REQUIRES AN E IN COL 24.
    59   0        CROSS VERIFICATION OF MODEL AND COEFFICIENTS WITH A
                   SECOND SAMPLE OF DATA:
                    1 WRITE B(0) AND B(I)S ON FILE IN ONE PROBLEM
                       (TRANSFORMATIONS ARE NOT SAVED).
                    2 READ  B(0) AND B(I)S FROM FILE IN NEXT PROBLEM
                      WITH SECOND SET OF OBSERVATIONS.
    60   0     5  NUMBER OF DELETE-OBSERVATIONS CARDS.  KEYPUNCH
                   OBSERVATION NUMBER OF DATA TO BE DELETED IN ORDER READ
                   BY COMPUTER USING 7(I4,6X) FORMAT.
    61   0     5  NUMBER OF INDICATOR-VARIABLE-OBSERVATIONS CARDS.
                   USING A 7(I4,2X,I3,1X) FORMAT, KEYPUNCH OBSERVATION
                   NUMBER (IN ORDER READ) AND VARIABLE NUMBER (BEFORE
                   TRANSFORMATIONS) INTO WHICH A 1 IS TO BE INSERTED.
0PROBLEM HAS ONE EQUATION
0DATA READ WITH SPECIAL FORMAT
0FORMAT CARD 1 (A6,I4,I2,3F6.3, T25, 2F6.3 )                                           
0BZERO = CALCULATED VALUE
0NAMES OF VARIABLES
                                                                       
0
1                                LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 VAR3 = VAR4       


0DATA INPUT          4 INDEPENDENT VARIABLES    1 DEPENDENT VARIABLE(S)

 OBSV.  SEQ.   1-11-21    2-12-22    3-13-23    4-14-24    5-15-25    6-16-26    7-17-27    8-18-28    9-19-29   10-20-30
    1     0    124.000     33.000      8.000      8.000    646.000
    2     0     49.000     31.000      6.000      6.000    355.000
    3     0    181.000     38.000      8.000      8.000    631.000
    4     0      4.000     17.000      2.000      2.000    174.000
    5     0     22.000     20.000      4.000      4.000    603.000
    6     0    152.000     39.000      6.000      6.000    331.000
    7     0     75.000     30.000      7.000      7.000    759.000
    8     0     54.000     29.000      7.000      7.000    282.000
    9     0     43.000     35.000      6.000      6.000    316.000
   10     0     41.000     31.000      5.000      5.000    490.000
   11     0     17.000     23.000      4.000      4.000    457.000
   12     0     22.000     21.000      3.000      3.000    282.000
   13     0     16.000      8.000      3.000      3.000    174.000
   14     0     10.000     23.000      3.000      3.000    269.000
   15     0     63.000     37.000      6.000      6.000    240.000
   16     0    170.000     40.000      8.000      8.000    525.000
   17     0    125.000     38.000      6.000      6.000    257.000
   18     0     15.000     25.000      4.000      4.000    240.000
   19     0    221.000     39.000      7.000      7.000    331.000
   20     0    171.000     33.000      7.000      7.000    331.000
   21     0     97.000     38.000      6.000      6.000    457.000
   22     0    254.000     39.000      8.000      8.000    776.000
0SUMS OF VARIABLES
       1.92600E+03 6.67000E+02 1.24000E+02 1.24000E+02 8.92600E+03
0RESIDUAL SUMS OF SQUARES + CROSS PRODUCTS
    1  1.19455E+05
    2  1.04452E+04 1.58477E+03
    3  2.37036E+03 2.82545E+02 7.30909E+01
    4  2.37036E+03 2.82545E+02 7.30909E+01 7.30909E+01
    5  1.31111E+05 1.19259E+04 4.14382E+03 4.14382E+03 6.97018E+05
0MEANS OF VARIABLES
       8.75455E+01 3.03182E+01 5.63636E+00 5.63636E+00 4.05727E+02
0ROOT MEAN SQUARES OF VARIABLES
       7.54212E+01 8.68708E+00 1.86562E+00 1.86562E+00 1.82185E+02
0SIMPLE CORRELATION COEFFICIENTS, R(I,I PRIME)
    1        1.000
    2        0.759       1.000
    3        0.802       0.830       1.000
    4        0.802       0.830       1.000       1.000
    5        0.454       0.359       0.581       0.581       1.000
0*******MATRIX OF SIMPLE CORRELATION COEFFICIENTS IS SINGULAR.  MATRIX WILL NOT INVERT.*******
1                                            LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 1981 VERSION OF THE LINWOOD 40 VARIABLE, 1000 OBSERVATION PROGRAM

 REFER TO FITTING EQUATIONS TO DATA BY DANIEL AND WOOD, SECOND EDITION, WILEY PUBLISHER,
 FOR GLOSSARY OF TERMS, USER'S MANUAL, DETAILS OF CALCULATIONS AND INTERPRETATION OF RESULTS.

02 VARIABLES PASS 1

0                         CONTROL CARD INFORMATION                                               ORDER OF CARDS

 COL.  INPUT MAX. ITEM   (NOTE: BLANK ON CARD = 0)                             FIRST PROBLEM
  1-18            PROBLEM IDENTIFICATION.                                       1  CONTROL CARD.
 19-20   3        NUMBER OF INDEPENDENT VARIABLES READ IN                       2  FORMAT CARD(S), IF ANY.
                    (ALLOW SPACE FOR TRANSFORMATIONS).                          3  DELETE OBSERVATIONS CARD(S), IF ANY.
 21-22   1        NUMBER OF   DEPENDENT VARIABLES READ IN.                      4  INDICATOR-VARIABLE-OBSERVATIONS CARD(S), IF ANY.
         4    65  TOTAL NUMBER OF VARIABLES (BEFORE TRANSFORMATIONS, IF ANY).   5  TRANSFORMATION CARD(S), IF ANY.
    24            E CAUSES Y, FITTED Y AND RESIDUALS TO BE                      6  INFORMATION CARD(S) FOR PRINTOUT, IF ANY.
                      LISTED WITH AN E RATHER THAN AN F FORMAT.                 7  NAMES OF VARIABLES CARD(S) FOR PRINTOUT, IF ANY.
    25   1        1 DO TRANSFORMATIONS.                                         8  CP SELECTED SEARCH CARD(S), IF ANY.
    26   0        1 WEIGHT OBSERVATIONS. WEIGHT ENTERED IN LAST POSITION.       9  DATA CARDS (IF NOT READ FROM A FILE).
                  2 WEIGHT BY 1/VAR. OF OBSERVATION.  VARIANCE ENTERED.        10  END CARD (END IN COLUMNS 1 - 3 OF IDENTIFICATION
    27   0        1 LET B(0) = ZERO, OTHERWISE B(0) IS CALCULATED VALUE.            FIELD).  THE NUMBER OF END CARDS MUST EQUAL THE
    28   0        1 CHECK OBSERVATION NUMBER SEQUENCE.                              NUMBER OF CARDS PER OBSERVATION. (END CARDS
    29   0        1 CHECK SEQUENCE WITHIN OBSERVATION NUMBER.                       ARE NOT NEEDED IF DATA ARE READ FROM A FILE).
    30   0        1 DO BACK TRANSFORMATION OF DEPENDENT VARIABLE.              11  ESTIMATE OF VARIANCE CARD(S), IF ANY, FOR EACH
    31   0        1 PUNCH DATA FOR CONFIDENCE INTERVAL PROGRAM.                     DEPENDENT VARIABLE.
    32   0        0 LIST ALL INPUT DATA.
                  1 LIST ONLY 1ST OBSERVATION.
                  2 DO NOT LIST ANY INPUT DATA.                                SECOND PROBLEM
    33   1        0 LIST TRANSFORMATIONS AND ALL TRANSFORMED DATA.               IF DATA ARE REUSED FROM FIRST PROBLEM,
                  1 LIST TRANSFORMATIONS AND 1ST TRANSFORMED OBSERVATION.            DELETE THE FORMAT, DATA AND END CARDS.
                  2 DO NOT LIST TRANSFORMATIONS OR TRANSFORMED DATA.             IF NAMES ARE REUSED,
    34   0        1 DO NOT LIST SUMS OF VARIABLES.                                   DELETE THE NAME CARDS.
    35   0        1 DO NOT LIST RAW SUMS AND CROSS PRODUCTS WHEN B(O)=O.         IF DIFFERENT INPUT DATA AND NAMES,
    36   0        1 DO NOT LIST RESIDUAL SUMS AND CROSS PRODUCTS.                    REPEAT 1 - 11 ABOVE.
    37   0        1 DO NOT LIST MEANS AND ROOT MEAN SQUARES OF VARIABLES.
    38   0        1 DO NOT LIST SIMPLE CORRELATION COEFFICIENTS.         
    39   0        1 DO NOT LIST INVERSE MATRIX.
    40   2        1 DO NOT PRINT PLOTS OF RESIDUALS VS. FITTED Y.
                  2 PLOT (A) RESIDUALS AND (B) COMPONENT AND COMPONENT-
                     PLUS-RESIDUALS VS. EACH INDEPENDENT VARIABLE.
                  3 PLOT (A) RESIDUALS ONLY.
                  4 PLOT (B) COMPONENT AND COMPONENT-PLUS-RESIDUALS ONLY.
                  5 PLOT (B) BUT EXPAND SCALE TO FILL EACH PLOT.
                  TO OMIT PLOTS OF SPECIFIC INDEPENDENT VARIABLES, ON
                  THE TRANSFFORMATION CARDS PUT A 2 IN THE OMIT COLUMNS
                  OF THOSE VARIABLES.
    41   1        0 READ DATA WITH STANDARD FORMAT (A6, I4, I2, 10F6.3).
                  1 READ DATA WITH FORMAT TO BE READ, 1 CARD (72COL) ASSUMED.
                  2 READ DATA WITH READ DATA (REDATA) SUBROUTINE.
    42   1        0 DO NOT SAVE DATA FOR NEXT PROBLEM.
                  1 SAVE DATA FOR NEXT PROBLEM.
                  2 REUSE DATA FROM PREVIOUS PROBLEM.
 43-44   0        MAXIMUM NUMBER OF VARIABLES IN CP SEARCH IF GREATER THAN 12.
              18   STANDARD SEARCH,
              30   MODIFIED LEAPS AND BOUNDS SEARCH.
    45   0     8  NUMBER OF FORMAT CARDS IF GREATER THAN 1.
 46-47  12    12  NUMBER OF INFORMATION CARDS TO BE READ FOR DISPLAY ON
                   PRINTOUT IF DESIRED, 72 COL. EACH.
    48   1        1 READ NAMES OF VARIABLES FOR DISPLAY ON PRINTOUT.
                     NAMES IN SAME POSITIONS AS VARIABLES ON TRANSFORMATION
                     CARDS - COLS. 1-6, 11-16, - - - , 61-66.
                     NAMES ARE NOT MOVED, ONLY LISTED OR DELETED.
                  2 REUSE NAMES OF VARIABLES FROM PREVIOUS PROBLEM.
    49   0        CP SEARCH FOR CANDIDATE EQUATIONS.  USE ESTIMATE
                   OF VARIANCE (RMS) FROM:
                    1 FULL EQUATION,
                    2 SUBSET EQUATION WITH MINIMUM RMS VALUE, OR
                    3 ESTIMATE OF VARIANCE CARD, F16.8 FORMAT.
                    CP SEARCH BY MODIFIED LEAPS AND BOUNDS.
                    4 ESTIMATE RMS FROM 1 ABOVE,
                    5 ESTIMATE RMS FROM 2 ABOVE, OR
                    6 ESTIMATE RMS FROM 3 ABOVE.
    50   0     3  NUMBER OF CP SELECTED SEARCH CARDS TO BE READ.
                   KEYPUNCH WITH A 18(2X,I2) FORMAT IN ASCENDING ORDER
                   THE IDENTIFICATION NUMBER OF THE VARIABLES (AFTER
                   TRANSFORMATIONS) TO BE USED IN THAT SEARCH.
                   ALL OTHER VARIABLES WILL BE PLACED IN BASIC EQUATION.
                   IF THE TOTAL NUMBER OF VARIABLES TO BE SEARCHED IS
                   LARGE, GIVE TOTAL IN COLUMNS 43-44.
    51   1        1 LIST COMPONENT-EFFECT TABLE, REQUIRED X(I) PRECISION,
                     ESTIMATE OF STANDARD DEVIATION FROM NEAR NEIGHBORS,
                     AND FUNCTIONS OF FITTED Y.
                  2 LIST ONLY ESTIMATE OF STD. DEVIATION AND FUNCTIONS.
                  3 LIST ONLY FUNCTIONS OF FITTED Y.
 52-53   0        NUMBER OF FILE IF DATA ARE READ FROM SEPARATE FILE,
                   NO END CARD IF ONLY ONE SET OF DATA IS ON EACH FILE.
 54-55   0        NUMBER OF INDEPENDENT VARIABLES GREATER THAN THE 99
                   ALLOWED IN COLS 19-20.
 56-58   0        TO REDUCE PRINTOUT WITH MANY OBSERVATIONS,
                   NUMBER OF CENTRAL OBSERVATIONS AND RESIDUALS NOT
                   TO BE PRINTED.  THIS REQUIRES AN E IN COL 24.
    59   0        CROSS VERIFICATION OF MODEL AND COEFFICIENTS WITH A
                   SECOND SAMPLE OF DATA:
                    1 WRITE B(0) AND B(I)S ON FILE IN ONE PROBLEM
                       (TRANSFORMATIONS ARE NOT SAVED).
                    2 READ  B(0) AND B(I)S FROM FILE IN NEXT PROBLEM
                      WITH SECOND SET OF OBSERVATIONS.
    60   0     5  NUMBER OF DELETE-OBSERVATIONS CARDS.  KEYPUNCH
                   OBSERVATION NUMBER OF DATA TO BE DELETED IN ORDER READ
                   BY COMPUTER USING 7(I4,6X) FORMAT.
    61   0     5  NUMBER OF INDICATOR-VARIABLE-OBSERVATIONS CARDS.
                   USING A 7(I4,2X,I3,1X) FORMAT, KEYPUNCH OBSERVATION
                   NUMBER (IN ORDER READ) AND VARIABLE NUMBER (BEFORE
                   TRANSFORMATIONS) INTO WHICH A 1 IS TO BE INSERTED.
0EQUATION  1 OF A MULTI-EQUATION PROBLEM
0DATA READ WITH SPECIAL FORMAT
0FORMAT CARD 1 (6X, A4, I2, I1, F5.2, F6.2, F1.0, F10.4 )                              
0BZERO = CALCULATED VALUE
0INFORMATION CARDS
           EQUATION: Y = 20 + 20X1 - 3X2 - 1X1SQRD + ERROR(0,1)                    
           FITTED WITH Y = B0 + B1X1 + B2X2                                        
           ERROR FROM "A MILLION RANDOM DIGITS", RAND CORP., FREE PRESS, 1955.     
           1-20 OBSV. FROM TABLE PAGE 4, COL 4; 21-40 OBSV. FROM PAGE 12, COL 2.   
           OBSERVATIONS 21-40 ARE REPLICATES OF OBSERVATIONS 1-20.                 
               STD. DEVIATION ESTIMATED FROM NEAR NEIGHBORS (1.0), IS MUCH LESS    
           THAN RRMS OF FIT, SUGGESTING A BETTER FORM OF EQUATION IS NEEDED.       
           NEED FOR SQUARED TERM CAN BE SEEN FROM RESIDUAL VS. INDEPENDENT         
           VARIABLE X1 PLOT.  SLIGHT EFFECT ON CURVATURE CAN BE SEEN FROM          
           COMPONENT AND COMPONENT-PLUS-RESIDUAL VS. INDEPENDENT VARIABLE X1       
           PLOT.  FROM "THE USE OF INDIVIDUAL EFFECTS AND RESIDUALS IN FITTING     
           EQUATIONS TO DATA" BY F.S.WOOD, TECHNOMETRICS VOL.15, NO 4, NOV. 1973.  
0DATA TRANSFORMATIONS
        POSITION   CODE   OPERATION                 CONSTANT  LOCATION  OMIT  VARIABLE  NAME
            1             NONE                                    1      0        1     X1    
            2             NONE                                    2      0        2     X2    
            3             NONE                                    3      1                    
            4             NONE                                    4      0        3     Y     
0
1                                LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 2 VARIABLES PASS 1


0DATA INPUT          3 INDEPENDENT VARIABLES    1 DEPENDENT VARIABLE(S)

 OBSV.  SEQ.   1-11-21    2-12-22    3-13-23    4-14-24    5-15-25    6-16-26    7-17-27    8-18-28    9-19-29   10-20-30
    1     0      0.000      0.000      0.000     20.164
    2     0      0.200      2.000      0.000     18.847
    3     0      0.500      7.000      0.000      6.678
    4     0      1.000     10.000      0.000      8.709
    5     0      1.500      4.000      0.000     36.934
    6     0      2.000     16.000      0.000      8.397
    7     0      2.500     22.000      0.000     -1.778
    8     0      3.000      6.000      0.000     53.136
    9     0      3.500      9.000      0.000     51.883
   10     0      4.000     18.000      0.000     31.564
   11     0      4.500     28.000      0.000      5.739
   12     0      5.000     34.000      0.000     -6.466
   13     0      5.300     14.000      0.000     56.494
   14     0      5.500     24.000      0.000     28.523
   15     0      6.000     19.000      0.000     47.498
   16     0      6.500     38.000      0.000     -4.575
   17     0      7.000     33.000      0.000     10.730
   18     0      7.500     35.000      0.000      8.214
   19     0      7.800     30.000      0.000     23.790
   20     0      8.000     40.000      0.000     -3.518
   21     0      0.000      0.000      0.000     20.283
   22     0      0.200      2.000      0.000     16.970
   23     0      0.500      7.000      0.000      8.379
   24     0      1.000     10.000      0.000      9.876
   25     0      1.500      4.000      0.000     37.719
   26     0      2.000     16.000      0.000      8.445
   27     0      2.500     22.000      0.000     -1.841
   28     0      3.000      6.000      0.000     54.339
   29     0      3.500      9.000      0.000     51.646
   30     0      4.000     18.000      0.000     30.738
   31     0      4.500     28.000      0.000      5.373
   32     0      5.000     34.000      0.000     -7.537
   33     0      5.300     14.000      0.000     53.974
   34     0      5.500     24.000      0.000     28.636
   35     0      6.000     19.000      0.000     46.065
   36     0      6.500     38.000      0.000     -6.327
   37     0      7.000     33.000      0.000     13.001
   38     0      7.500     35.000      0.000      7.855
   39     0      7.800     30.000      0.000     26.869
   40     0      8.000     40.000      0.000     -3.659
0DATA TRANSFORMATIONS
        POSITION   CODE   OPERATION                 CONSTANT  LOCATION  OMIT  VARIABLE  NAME
            1             NONE                                    1      0        1     X1    
            2             NONE                                    2      0        2     X2    
            3             NONE                                    3      1                    
            4             NONE                                    4      0        3     Y     
0FIRST OBSERVATION AFTER TRANSFORMATIONS      THE FITTED EQUATION HAS  2 INDEPENDENT VARIABLES,  1 DEPENDENT VARIABLE(S)

            X1          X2          Y           
 OBSV.     1-11-21     2-12-22     3-13-23     4-14-24     5-15-25     6-16-26     7-17-27     8-18-28     9-19-29    10-20-30
    1  0.00000E+00 0.00000E+00 2.01640E+01
0SUMS OF VARIABLES
       1.62600E+02 7.78000E+02 8.01767E+02
0RESIDUAL SUMS OF SQUARES + CROSS PRODUCTS
    1  2.64971E+02
    2  1.11563E+03 6.22990E+03
    3 -1.60588E+02-5.34992E+03 1.57550E+04
0MEANS OF VARIABLES
       4.06500E+00 1.94500E+01 2.00442E+01
0ROOT MEAN SQUARES OF VARIABLES
       2.60655E+00 1.26389E+01 2.00991E+01
0SIMPLE CORRELATION COEFFICIENTS, R(I,I PRIME)
    1        1.000
    2        0.868       1.000
    3       -0.079      -0.540       1.000
0INVERSE, C(I,I PRIME)
    1        4.065
    2       -3.530       4.065
1                                      LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 2 VARIABLES PASS 1  DEP VAR 1: Y                           MIN Y = -7.537E+00  MAX Y =  5.649E+01  RANGE Y =  6.403E+01

                   EQUATION: Y = 20 + 20X1 - 3X2 - 1X1SQRD + ERROR(0,1)                    
                   FITTED WITH Y = B0 + B1X1 + B2X2                                        
                   ERROR FROM "A MILLION RANDOM DIGITS", RAND CORP., FREE PRESS, 1955.     
                   1-20 OBSV. FROM TABLE PAGE 4, COL 4; 21-40 OBSV. FROM PAGE 12, COL 2.   
                   OBSERVATIONS 21-40 ARE REPLICATES OF OBSERVATIONS 1-20.                 
                       STD. DEVIATION ESTIMATED FROM NEAR NEIGHBORS (1.0), IS MUCH LESS    
                   THAN RRMS OF FIT, SUGGESTING A BETTER FORM OF EQUATION IS NEEDED.       
                   NEED FOR SQUARED TERM CAN BE SEEN FROM RESIDUAL VS. INDEPENDENT         
                   VARIABLE X1 PLOT.  SLIGHT EFFECT ON CURVATURE CAN BE SEEN FROM          
                   COMPONENT AND COMPONENT-PLUS-RESIDUAL VS. INDEPENDENT VARIABLE X1       
                   PLOT.  FROM "THE USE OF INDIVIDUAL EFFECTS AND RESIDUALS IN FITTING     
                   EQUATIONS TO DATA" BY F.S.WOOD, TECHNOMETRICS VOL.15, NO 4, NOV. 1973.  
0IND.VAR(I)   NAME    COEF.B(I)      S.E. COEF.   T-VALUE   R(I)SQRD    MIN X(I)       MAX X(I)      RANGE X(I)  REL.INF.X(I)
      0              2.96276E+01      1.86E+00     15.9
      1     X1       1.22333E+01      7.63E-01     16.0      0.7540     0.000E+00      8.000E+00      8.000E+00      1.53
      2     X2      -3.04944E+00      1.57E-01     19.4      0.7540     0.000E+00      4.000E+01      4.000E+01      1.90
0NO. OF OBSERVATIONS              40
 NO. OF IND. VARIABLES             2
 RESIDUAL DEGREES OF FREEDOM      37
 F-VALUE                         188.9
 RESIDUAL ROOT MEAN SQUARE         6.16279160
 RESIDUAL MEAN SQUARE             37.98000027
 RESIDUAL SUM OF SQUARES        1405.26001001
 TOTAL SUM OF SQUARES          15755.02817978
 MULT. CORREL. COEF. SQUARED        .9108
 ADJ. MULT. CORR. COEF. SQUARED     .9060
0                                                                       REQUIRED X(I) PRECISION
                                                                   (DIGIT RIGHT OF DECIMAL POSITIVE,
                                                                           LEFT OF DECIMAL NEGATIVE)
0                                                                         IND.VAR(I)    DIGIT
                                                                               1         -1
                                                                               2         -2
1                                      LINEAR LEAST-SQUARES CURVE FITTING PROGRAM
02 VARIABLES PASS 1  DEP VAR 1: Y     
0COMPONENT EFFECT OF EACH VARIABLE ON EACH OBSERVATION (IN UNITS OF Y)
 (VARIABLES ORDERED BY THEIR RELATIVE INFLUENCE --- OBSERVATIONS ORDERED BY INFLUENCE OF MOST INFLUENTIAL VARIABLE)

  SEQ. OBSV.        VARIABLES
                   2       1    
              X2      X1       TOTAL  
    1     1     59.31  -49.73    9.58
    2    21     59.31  -49.73    9.58
    3     2     53.21  -47.28    5.93
    4    22     53.21  -47.28    5.93
    5     5     47.11  -31.38   15.74
    6    25     47.11  -31.38   15.74
    7     8     41.02  -13.03   27.99
    8    28     41.02  -13.03   27.99
    9     3     37.97  -43.61   -5.65
   10    23     37.97  -43.61   -5.65
   11     9     31.87   -6.91   24.95
   12    29     31.87   -6.91   24.95
   13     4     28.82  -37.49   -8.68
   14    24     28.82  -37.49   -8.68
   15    13     16.62   15.11   31.73
   16    33     16.62   15.11   31.73
   17     6     10.52  -25.26  -14.74
   18    26     10.52  -25.26  -14.74
   19    10      4.42   -0.80    3.63
   20    30      4.42   -0.80    3.63
   21    15      1.37   23.67   25.04
   22    35      1.37   23.67   25.04
   23     7     -7.78  -19.15  -26.92
   24    27     -7.78  -19.15  -26.92
   25    14    -13.87   17.55    3.68
   26    34    -13.87   17.55    3.68
   27    11    -26.07    5.32  -20.75
   28    31    -26.07    5.32  -20.75
   29    19    -32.17   45.69   13.52
   30    39    -32.17   45.69   13.52
   31    17    -41.32   35.90   -5.42
   32    37    -41.32   35.90   -5.42
   33    12    -44.37   11.44  -32.93
   34    32    -44.37   11.44  -32.93
   35    18    -47.42   42.02   -5.40
   36    38    -47.42   42.02   -5.40
   37    16    -56.57   29.79  -26.78
   38    36    -56.57   29.79  -26.78
   39    20    -62.67   48.14  -14.53
   40    40    -62.67   48.14  -14.53
1                                      LINEAR LEAST-SQUARES CURVE FITTING PROGRAM
02 VARIABLES PASS 1  DEP VAR 1: Y              RESIDUAL ROOT MEAN SQUARE OF FITTED EQUATION:      6.16
0STANDARD DEVIATION ESTIMATED FROM RESIDUALS OF NEIGHBORING OBSERVATIONS (OBSERVATIONS 1 TO 4 APART IN FITTED Y ORDER).

       CUMULATIVE     ---------ORDERED BY WSSD----------  ---------ORDERED BY FITTED Y---------
  NO.    STD DEV      WSSD   OBSV.  OBSV.  DEL RESIDUALS  WSSD  DEL RESIDUALS  FITTED Y   OBSV.    SEQ.
   1      2.32        0.00     33     13       2.52       0.00      1.07       -12.89       32       1
   2      1.72        0.00     28      8       1.20      59.88      1.39       -12.89       12       2
   3      1.58        0.00     35     15       1.43       0.00      0.06        -6.88       27       3
   4      1.24        0.00     29      9       0.24     125.72      4.69        -6.88        7       4
   5      1.14        0.00     25      5       0.79       0.00      1.75        -6.73       36       5
   6      1.42        0.00     39     19       3.08      40.25      3.92        -6.73       16       6
   7      1.23        0.00     21      1       0.12       0.00      0.37        -0.71       31       7
   8      1.30        0.00     22      2       1.88      59.88      3.30        -0.71       11       8
   9      1.16        0.00     34     14       0.11       0.00      0.05         5.30       26       9
  10      1.12        0.00     30     10       0.83     282.88     12.27         5.30        6      10
  11      1.05        0.00     38     18       0.36       0.00      0.14         5.52       40      11
  12      1.14        0.00     37     17       2.27     413.43      7.54         5.52       20      12
  13      1.17        0.00     23      3       1.70       0.00      1.17        11.37       24      13
  14      1.16        0.00     24      4       1.17       3.19      3.36        11.37        4      14
  15      1.10        0.00     40     20       0.14       0.00      1.70        14.40       23      15
  16      1.03        0.00     26      6       0.05     331.99      6.09        14.40        3      16
  17      0.99        0.00     31     11       0.37       0.00      2.27        14.63       37      17
  18      1.02        0.00     36     16       1.75       1.96      2.89        14.63       17      18
  19      0.97        0.00     27      7       0.06       0.00      0.36        14.65       38      19
  20      0.97        0.00     32     12       1.07     119.03     13.50        14.65       18      20
  21      0.95        1.14     22      1       0.46       0.00      0.83        23.67       30      21
  22      1.00        1.14      2      1       2.34      17.68      2.98        23.67       10      22
  23      0.97        1.14     22     21       0.34       0.00      0.11        23.72       34      23
  24      1.02        1.14      2     21       2.22     229.19     13.80        23.72       14      24
  25      1.15        1.96     37     18       4.80       0.00      1.88        25.98       22      25
  26      1.20        1.96     17     18       2.53       1.14      2.22        25.98        2      26
  27      1.33        1.96     37     38       5.16       0.00      0.12        29.63       21      27
  28      1.38        1.96     17     38       2.89     460.09      2.77        29.63        1      28
  29      1.53        3.19     24      3       6.23       0.00      3.08        33.56       39      29
  30      1.63        3.19      4      3       5.06     321.90     11.71        33.56       19      30
  31      1.72        3.19     24     23       4.53       0.00      0.79        35.78       25      31
  32      1.76        3.19      4     23       3.36      21.88      5.49        35.78        5      32
  33      1.76        3.19      9      8       1.78       0.00      0.24        45.00       29      33
  34      1.71        3.19     29     28       0.34      49.11      5.91        45.00        9      34
  35      1.68        3.19      9     28       0.58       0.00      1.43        45.09       35      35
  36      1.69        8.05     15     13       2.31      76.84      3.90        45.09       15      36
  37      1.68        8.05     35     33       1.23       0.00      1.20        48.03       28      37
  38      1.64        8.05     15     33       0.21      36.51      2.90        48.03        8      38
  39      1.73       12.75      6      4       5.75       0.00      2.52        51.77       33      39
  40      1.79       12.75     26     24       4.63      59.88      0.31        51.77       13      40
1                                      LINEAR LEAST-SQUARES CURVE FITTING PROGRAM
02 VARIABLES PASS 1  DEP VAR 1: Y     
0FUNCTIONS RELATED TO THE VARIANCE OF FITTED Y.  OBSERVATIONS ORDERED BY COMPUTER INPUT.
0STUDENTIZED RESIDUAL = RESIDUAL / SQUARE ROOT OF VARIANCE OF RESIDUAL.
 DELETED-STUDENTIZED RESIDUAL = RESIDUAL / SQUARE ROOT OF RESIDUAL VARIANCE WHEN
     THAT RESIDUAL HAS BEEN DELETED FROM THE RESIDUAL SUMS OF SQUARES.
 VARIANCE RATIO = VARIANCE OF FITTED Y / VARIANCE OF RESIDUAL.
 MAHALANOBIS DISTANCE = VARIANCE RATIO ADJUSTED FOR THE NUMBER OF OBSERVATIONS.
 DISTANCE IN INFLUENCE AND FACTOR SPACE, INFAC = (WEIGHTED SQUARED STANDARDIZED
     DISTANCE)(VARIANCE RATIO).
 DELETE-EFFECT = (VARIANCE RATIO)(STUDENTIZED RESIDUAL SQUARED / P).
 DFFITS = (SQUARE ROOT OF VARIANCE RATIO)(DELETED-STUDENTIZED RESIDUAL).
     LIMITING VALUE OF DFFITS FOR THIS PROBLEM, 2*SQRT(P/N), = 0.5
0                                       DELETED-                        -----------------------DISTANCE-----------------------
                           STUDENTIZED STUDENTIZED   S.E.                VAR.   MAHAL-                          DELETE-EFFECT
 IDENT.  OBSV.    RESIDUAL  RESIDUAL    RESIDUAL   FITTED Y  V(Y)/RMS   RATIO   ANOBIS   WSSD   INFAC  DFFITS   VALUE  PERCENT
    1       1       -9.464    -1.6        -1.6       1.858    0.0909      0.1       3     158      16     0.5     0.1   
    2       2       -7.128    -1.2        -1.2       1.768    0.0823      0.1       2     133      12     0.4     0.0   
    3       3       -7.720    -1.3        -1.3       1.713    0.0772      0.1       2      88       7     0.4     0.0   
    4       4       -2.657    -0.4        -0.4       1.610    0.0682      0.1       2      59       4     0.1     0.0   
    5       5        1.154     0.2         0.2       1.558    0.0639      0.1       2      84       6     0.0     0.0   
    6       6        3.094     0.5         0.5       1.497    0.0590      0.1       1      20       1     0.1     0.0   
    7       7        5.099     0.9         0.9       1.836    0.0887      0.1       3      11       1     0.3     0.0   
    8       8        5.105     0.9         0.9       1.762    0.0817      0.1       2      49       4     0.3     0.0   
    9       9        6.884     1.2         1.2       1.615    0.0687      0.1       2      28       2     0.3     0.0   
   10      10        7.893     1.3         1.3       0.992    0.0259      0.0       0       1       0     0.2     0.0   
   11      11        6.446     1.1         1.1       1.447    0.0552      0.1       1      19       1     0.3     0.0   
   12      12        6.421     1.1         1.1       1.966    0.1018      0.1       3      55       6     0.4     0.0   
   13      13        4.722     0.8         0.8       1.995    0.1048      0.1       3      13       2     0.3     0.0   
   14      14        4.799     0.8         0.8       1.140    0.0342      0.0       0      13       0     0.1     0.0   
   15      15        2.410     0.4         0.4       1.821    0.0874      0.1       3      15       1     0.1     0.0   
   16      16        2.160     0.4         0.4       1.872    0.0923      0.1       3     108      11     0.1     0.0   
   17      17       -3.899    -0.7        -0.6       1.490    0.0584      0.1       1      79       5     0.2     0.0   
   18      18       -6.433    -1.1        -1.1       1.634    0.0703      0.1       2     106       8     0.3     0.0   
   19      19       -9.774    -1.7        -1.7       1.901    0.0951      0.1       3      82       9     0.6     0.1   
   20      20       -9.034    -1.5        -1.6       1.887    0.0938      0.1       3     164      17     0.5     0.1   
    1      21       -9.345    -1.6        -1.6       1.858    0.0909      0.1       3     158      16     0.5     0.1   
    2      22       -9.005    -1.5        -1.6       1.768    0.0823      0.1       2     133      12     0.5     0.1   
    3      23       -6.019    -1.0        -1.0       1.713    0.0772      0.1       2      88       7     0.3     0.0   
    4      24       -1.490    -0.3        -0.2       1.610    0.0682      0.1       2      59       4     0.1     0.0   
    5      25        1.939     0.3         0.3       1.558    0.0639      0.1       2      84       6     0.1     0.0   
    6      26        3.142     0.5         0.5       1.497    0.0590      0.1       1      20       1     0.1     0.0   
    7      27        5.036     0.9         0.9       1.836    0.0887      0.1       3      11       1     0.3     0.0   
    8      28        6.308     1.1         1.1       1.762    0.0817      0.1       2      49       4     0.3     0.0   
    9      29        6.647     1.1         1.1       1.615    0.0687      0.1       2      28       2     0.3     0.0   
   10      30        7.067     1.2         1.2       0.992    0.0259      0.0       0       1       0     0.2     0.0   
   11      31        6.080     1.0         1.0       1.447    0.0552      0.1       1      19       1     0.2     0.0   
   12      32        5.350     0.9         0.9       1.966    0.1018      0.1       3      55       6     0.3     0.0   
   13      33        2.202     0.4         0.4       1.995    0.1048      0.1       3      13       2     0.1     0.0   
   14      34        4.912     0.8         0.8       1.140    0.0342      0.0       0      13       0     0.2     0.0   
   15      35        0.977     0.2         0.2       1.821    0.0874      0.1       3      15       1     0.1     0.0   
   16      36        0.408     0.1         0.1       1.872    0.0923      0.1       3     108      11     0.0     0.0   
   17      37       -1.628    -0.3        -0.3       1.490    0.0584      0.1       1      79       5     0.1     0.0   
   18      38       -6.792    -1.1        -1.1       1.634    0.0703      0.1       2     106       8     0.3     0.0   
   19      39       -6.695    -1.1        -1.1       1.901    0.0951      0.1       3      82       9     0.4     0.0   
   20      40       -9.175    -1.6        -1.6       1.887    0.0938      0.1       3     164      17     0.5     0.1   
1                                      LINEAR LEAST-SQUARES CURVE FITTING PROGRAM
02 VARIABLES PASS 1  DEP VAR 1: Y     
0-----------------ORDERED BY COMPUTER INPUT--------- ---------   ---------------------ORDERED BY RESIDUALS---------------------
 IDENT.  OBSV. WSS DISTANCE OBS. Y     FITTED Y     RESIDUAL   OBSV.      OBS. Y     FITTED Y  ORDERED RESID. STUD.RESID. SEQ
    1       1     158       20.164       29.628       -9.464     10       31.564       23.671        7.893        1.3       1
    2       2     133       18.847       25.975       -7.128     30       30.738       23.671        7.067        1.2       2
    3       3      88        6.678       14.398       -7.720      9       51.883       44.999        6.884        1.2       3
    4       4      59        8.709       11.366       -2.657     29       51.646       44.999        6.647        1.1       4
    5       5      84       36.934       35.780        1.154     11        5.739       -0.707        6.446        1.1       5
    6       6      20        8.397        5.303        3.094     12       -6.466      -12.887        6.421        1.1       6
    7       7      11       -1.778       -6.877        5.099     28       54.339       48.031        6.308        1.1       7
    8       8      49       53.136       48.031        5.105     31        5.373       -0.707        6.080        1.0       8
    9       9      28       51.883       44.999        6.884     32       -7.537      -12.887        5.350        0.9       9
   10      10       1       31.564       23.671        7.893      8       53.136       48.031        5.105        0.9      10
   11      11      19        5.739       -0.707        6.446      7       -1.778       -6.877        5.099        0.9      11
   12      12      55       -6.466      -12.887        6.421     27       -1.841       -6.877        5.036        0.9      12
   13      13      13       56.494       51.772        4.722     34       28.636       23.724        4.912        0.8      13
   14      14      13       28.523       23.724        4.799     14       28.523       23.724        4.799        0.8      14
   15      15      15       47.498       45.088        2.410     13       56.494       51.772        4.722        0.8      15
   16      16     108       -4.575       -6.735        2.160     26        8.445        5.303        3.142        0.5      16
   17      17      79       10.730       14.629       -3.899      6        8.397        5.303        3.094        0.5      17
   18      18     106        8.214       14.647       -6.433     15       47.498       45.088        2.410        0.4      18
   19      19      82       23.790       33.564       -9.774     33       53.974       51.772        2.202        0.4      19
   20      20     164       -3.518        5.516       -9.034     16       -4.575       -6.735        2.160        0.4      20
    1      21     158       20.283       29.628       -9.345     25       37.719       35.780        1.939        0.3      21
    2      22     133       16.970       25.975       -9.005      5       36.934       35.780        1.154        0.2      22
    3      23      88        8.379       14.398       -6.019     35       46.065       45.088        0.977        0.2      23
    4      24      59        9.876       11.366       -1.490     36       -6.327       -6.735        0.408        0.1      24
    5      25      84       37.719       35.780        1.939     24        9.876       11.366       -1.490       -0.3      25
    6      26      20        8.445        5.303        3.142     37       13.001       14.629       -1.628       -0.3      26
    7      27      11       -1.841       -6.877        5.036      4        8.709       11.366       -2.657       -0.4      27
    8      28      49       54.339       48.031        6.308     17       10.730       14.629       -3.899       -0.7      28
    9      29      28       51.646       44.999        6.647     23        8.379       14.398       -6.019       -1.0      29
   10      30       1       30.738       23.671        7.067     18        8.214       14.647       -6.433       -1.1      30
   11      31      19        5.373       -0.707        6.080     39       26.869       33.564       -6.695       -1.1      31
   12      32      55       -7.537      -12.887        5.350     38        7.855       14.647       -6.792       -1.1      32
   13      33      13       53.974       51.772        2.202      2       18.847       25.975       -7.128       -1.2      33
   14      34      13       28.636       23.724        4.912      3        6.678       14.398       -7.720       -1.3      34
   15      35      15       46.065       45.088        0.977     22       16.970       25.975       -9.005       -1.5      35
   16      36     108       -6.327       -6.735        0.408     20       -3.518        5.516       -9.034       -1.5      36
   17      37      79       13.001       14.629       -1.628     40       -3.659        5.516       -9.175       -1.6      37
   18      38     106        7.855       14.647       -6.792     21       20.283       29.628       -9.345       -1.6      38
   19      39      82       26.869       33.564       -6.695      1       20.164       29.628       -9.464       -1.6      39
   20      40     164       -3.659        5.516       -9.175     19       23.790       33.564       -9.774       -1.7      40
1 2 VARIABLES PASS 1  DEP VAR 1: Y                     CUMULATIVE DISTRIBUTION OF RESIDUALS
                  .0002  .001  .005  .01 .02   .05  .1    .2   .3  .4  .5  .6  .7   .8    .9   .95  .98 .99 .995   .999
                    *-----*-------*--*---*-----*----*-----*----*---*---*---*---*----*-----*----*-----*---*--*-------*-----
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      I             I                                                  '                                                 I
      D             I                                                  '                                                 I
      U             I                                             +    '                                                 I
      A             I                                            +     '                                                 I
      L             I                                                  '                                                 I
      S             I                                                  '                                                 I
                    I                                            +     '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                           +      '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                                  '                                                 I
                    I                                         +        '                                                 I
                    I                                                  '                                                 I
                  N I                                       ++         '                                                 I
                  E I                                      +           '                                                 I
                  G I                                     +            '                                                 I
                  A I                                   +              '                                                 I
                  T I                                                  '                                                 I
                  I I                                                  '                                                 I
                  V I                                                  '                                                 I
                  E I                                + +               '                                                 I
                    I                        +   + +                   '                                                 I
                    I                 +                                '                                                 I
                    *-----*-------*--*---*-----*----*-----*----*---*---*---*---*----*-----*----*-----*---*--*-------*-----
                  .0002  .001  .005  .01 .02   .05  .1    .2   .3  .4  .5  .6  .7   .8    .9   .95  .98 .99 .995   .999
                                                       CUMULATIVE FREQUENCY, NORMAL GRID
1 2 VARIABLES PASS 1  DEP VAR 1: Y                           RESIDUAL VS. FITTED Y
                 -12.887                                            19.442                                            51.772
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                                                       +                                            I
                    I                                                                                                    I
                  P I                                                       +                                +           I
                  O I                                                                                        +           I
                  S I+                +                                                                           +      I
                  I I                 +                                                                                  I
                  T I                                                                                                    I
                  I I+                                                                                                   I
                  V I        +                                              +                                     +      I
                  E I                                                                                                   +I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                           +                                                                        I
                    I                                                                                                    I
                    I                                                                                         +          I
                    I        +                                                                                          +I
                    I                                                                          +                         I
                    I                                                                                                    I
                    I                                                                          +              +          I
                    I                                                                                                    I
      R             I        +                                                                                           I
      E           0 I----------------------------------------------------------------------------------------------------I
      S             I                                                                                                    I
      I             I                                                                                                    I
      D             I                                                                                                    I
      U             I                                    +                                                               I
      A             I                                         +                                                          I
      L             I                                                                                                    I
      S             I                                                                                                    I
                    I                                    +                                                               I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                         +                                                          I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                         +                                                          I
                    I                                                                                                    I
                  N I                                         +                             +                            I
                  E I                                         +                                                          I
                  G I                                                           +                                        I
                  A I                                         +                                                          I
                  T I                                                                                                    I
                  I I                                                                                                    I
                  V I                                                                                                    I
                  E I                           +                               +                                        I
                    I                           +                                     +                                  I
                    I                                                                       +                            I
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                 -12.887                                            19.442                                            51.772
                                                                   FITTED Y
1 2 VARIABLES PASS 1  DEP VAR 1: Y              RESIDUALS VS. INDEPENDENT VARIABLE 1: X1    
                   0.000                   2.000                     4.000                   6.000                     8.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                                                 +                                                  I
                    I                                                                                                    I
                  P I                                           +     +                                                  I
                  O I                                           +                                                        I
                  S I                                    +                  +      +                                     I
                  I I                                                       +                                            I
                  T I                                                                                                    I
                  I I                                                              +                                     I
                  V I                              +     +                               +                               I
                  E I                                                                 +                                  I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                        +                                                                           I
                    I                                                                                                    I
                    I                                                                          +                         I
                    I                                                                 +               +                  I
                    I                 +                                                                                  I
                    I                                                                                                    I
                    I                 +                                                        +                         I
                    I                                                                                                    I
      R             I                                                                                 +                  I
      E           0 I----------------------------------------------------------------------------------------------------I
      S             I                                                                                                    I
      I             I                                                                                                    I
      D             I                                                                                                    I
      U             I                                                                                                    I
      A             I           +                                                                           +            I
      L             I                                                                                                    I
      S             I                                                                                                    I
                    I           +                                                                                        I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                       +            I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I     +                                                                                              I
                  N I                                                                                             +      I
                  E I                                                                                             +   +  I
                  G I +                                                                                                  I
                  A I                                                                                                    I
                  T I     +                                                                                              I
                  I I                                                                                                    I
                  V I                                                                                                    I
                  E I +                                                                                                 +I
                    I+                                                                                                  +I
                    I+                                                                                                +  I
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                   0.000                   2.000                     4.000                   6.000                     8.000
0                                                       INDEPENDENT VARIABLE 1: X1    
1 2 VARIABLES PASS 1  DEP VAR 1: Y              COMPONENT WITH RESIDUALS VS. INDEPENDENT VARIABLE 1: X1    
                                                 C = COMPONENT, + = WITH RESIDUAL, * = BOTH
                   0.000                   2.000                     4.000                   6.000                     8.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                   CI
                    I                                                                                                 C  I
                    I                                                                                                    I
                    I                                                                                             C      I
                    I                                                                                                 + +I
                    I                                                                                       C     +   +  I
                    I                                                                                 +     +            I
                    I                                                                                 *                  I
                    I                                                                                                    I
                    I                                                                          +                         I
              C     I                                                                    +     C                         I
              O     I                                                                 +                                  I
              M     I                                                              +  +  C                               I
              P     I                                                                 C                                  I
              O     I                                                       +      C                                     I
              N     I                                                                                                    I
              E     I                                                 +                                                  I
      C       N     I                                                       C                                            I
      O       T     I                                                                                                    I
      M             I                                           +     C                                                  I
      P   A   P     I                                                                                                    I
      O   N   L     I                                                                                                    I
      N   D   U     I                                    +      C                                                        I
      E       S     I                                                                                                    I
      N             I                              +     C                                                               I
      T       R     I                                                                                                    I
              E     I                              C                                                                     I
              S     I                        +                                                                           I
              I     I                        +                                                                           I
              D     I                        C                                                                           I
              U     I                 +                                                                                  I
              A     I                 C                                                                                  I
              L     I                                                                                                    I
              S     I           C                                                                                        I
                    I           +                                                                                        I
                    I           +                                                                                        I
                    I     C                                                                                              I
                    I C                                                                                                  I
                    IC    +                                                                                              I
                    I     +                                                                                              I
                    I +                                                                                                  I
                    I +                                                                                                  I
                    I+                                                                                                   I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                   0.000                   2.000                     4.000                   6.000                     8.000
0                                                       INDEPENDENT VARIABLE 1: X1    
   0 RESIDUALS OUTSIDE OF PLOT
1 2 VARIABLES PASS 1  DEP VAR 1: Y              RESIDUALS VS. INDEPENDENT VARIABLE 2: X2    
                   0.000                  10.000                    20.000                  30.000                    40.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                                            +                                                       I
                    I                                                                                                    I
                  P I                     +                      +                                                       I
                  O I                     +                                                                              I
                  S I              +                                                      +              +               I
                  I I                                                                     +                              I
                  T I                                                                                                    I
                  I I                                                                                    +               I
                  V I              +                                       +    +                                        I
                  E I                                  +                                                                 I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                       +                                                            I
                    I                                                                                                    I
                    I                                              +                                                     I
                    I                                  +                                                           +     I
                    I         +                                                                                          I
                    I                                                                                                    I
                    I         +                                    +                                                     I
                    I                                                                                                    I
      R             I                                                                                              +     I
      E           0 I----------------------------------------------------------------------------------------------------I
      S             I                                                                                                    I
      I             I                                                                                                    I
      D             I                                                                                                    I
      U             I                                                                                                    I
      A             I                        +                                                         +                 I
      L             I                                                                                                    I
      S             I                                                                                                    I
                    I                        +                                                                           I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                  +                 I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                    I
                    I                +                                                                                   I
                  N I                                                                                       +            I
                  E I                                                                          +            +            I
                  G I    +                                                                                               I
                  A I                                                                                                    I
                  T I                +                                                                                   I
                  I I                                                                                                    I
                  V I                                                                                                    I
                  E I    +                                                                                              +I
                    I+                                                                                                  +I
                    I+                                                                         +                         I
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                   0.000                  10.000                    20.000                  30.000                    40.000
0                                                       INDEPENDENT VARIABLE 2: X2    
1 2 VARIABLES PASS 1  DEP VAR 1: Y              COMPONENT WITH RESIDUALS VS. INDEPENDENT VARIABLE 2: X2    
                                                 C = COMPONENT, + = WITH RESIDUAL, * = BOTH
                   0.000                  10.000                    20.000                  30.000                    40.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    IC                                                                                                   I
                    I                                                                                                    I
                    I    C                                                                                               I
                    I+        +                                                                                          I
                    I         C    +                                                                                     I
                    I    +         +                                                                                     I
                    I                                                                                                    I
                    I              C      +                                                                              I
                    I                C    +                                                                              I
                    I                                                                                                    I
                    I                +    C                                                                              I
                    I                +       C                                                                           I
                    I                        +                                                                           I
                    I                                                                                                    I
              C     I                                  +                                                                 I
              O     I                                  +                                                                 I
              M     I                                  C                                                                 I
              P     I                                       +                                                            I
              O     I                                       C    +                                                       I
              N     I                                                                                                    I
              E     I                                                                                                    I
      C       N     I                                            C +                                                     I
      O       T     I                                              *                                                     I
      M             I                                                                                                    I
      P   A   P     I                                                      +                                             I
      O   N   L     I                                                                                                    I
      N   D   U     I                                                      C    +                                        I
      E       S     I                                                                                                    I
      N             I                                                           C                                        I
      T       R     I                                                                                                    I
              E     I                                                                     +                              I
              S     I                                                                                                    I
              I     I                                                                                                    I
              D     I                                                                     C                              I
              U     I                                                                                                    I
              A     I                                                                          C                         I
              L     I                                                                                                    I
              S     I                                                                                    +               I
                    I                                                                          +         +               I
                    I                                                                          +       *                 I
                    I                                                                                  + C               I
                    I                                                                                       C            I
                    I                                                                                                    I
                    I                                                                                       +            I
                    I                                                                                       +      +     I
                    I                                                                                              C     I
                    I                                                                                                    I
                    I                                                                                                   CI
                    I                                                                                                    I
                    I                                                                                                    I
                    I                                                                                                   +I
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                   0.000                  10.000                    20.000                  30.000                    40.000
0                                                       INDEPENDENT VARIABLE 2: X2    
   0 RESIDUALS OUTSIDE OF PLOT
1                                            LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 1981 VERSION OF THE LINWOOD 40 VARIABLE, 1000 OBSERVATION PROGRAM

 REFER TO FITTING EQUATIONS TO DATA BY DANIEL AND WOOD, SECOND EDITION, WILEY PUBLISHER,
 FOR GLOSSARY OF TERMS, USER'S MANUAL, DETAILS OF CALCULATIONS AND INTERPRETATION OF RESULTS.

02 VARIABLES PASS 2

0                         CONTROL CARD INFORMATION                                               ORDER OF CARDS

 COL.  INPUT MAX. ITEM   (NOTE: BLANK ON CARD = 0)                             FIRST PROBLEM
  1-18            PROBLEM IDENTIFICATION.                                       1  CONTROL CARD.
 19-20   3        NUMBER OF INDEPENDENT VARIABLES READ IN                       2  FORMAT CARD(S), IF ANY.
                    (ALLOW SPACE FOR TRANSFORMATIONS).                          3  DELETE OBSERVATIONS CARD(S), IF ANY.
 21-22   1        NUMBER OF   DEPENDENT VARIABLES READ IN.                      4  INDICATOR-VARIABLE-OBSERVATIONS CARD(S), IF ANY.
         4    65  TOTAL NUMBER OF VARIABLES (BEFORE TRANSFORMATIONS, IF ANY).   5  TRANSFORMATION CARD(S), IF ANY.
    24            E CAUSES Y, FITTED Y AND RESIDUALS TO BE                      6  INFORMATION CARD(S) FOR PRINTOUT, IF ANY.
                      LISTED WITH AN E RATHER THAN AN F FORMAT.                 7  NAMES OF VARIABLES CARD(S) FOR PRINTOUT, IF ANY.
    25   1        1 DO TRANSFORMATIONS.                                         8  CP SELECTED SEARCH CARD(S), IF ANY.
    26   0        1 WEIGHT OBSERVATIONS. WEIGHT ENTERED IN LAST POSITION.       9  DATA CARDS (IF NOT READ FROM A FILE).
                  2 WEIGHT BY 1/VAR. OF OBSERVATION.  VARIANCE ENTERED.        10  END CARD (END IN COLUMNS 1 - 3 OF IDENTIFICATION
    27   0        1 LET B(0) = ZERO, OTHERWISE B(0) IS CALCULATED VALUE.            FIELD).  THE NUMBER OF END CARDS MUST EQUAL THE
    28   0        1 CHECK OBSERVATION NUMBER SEQUENCE.                              NUMBER OF CARDS PER OBSERVATION. (END CARDS
    29   0        1 CHECK SEQUENCE WITHIN OBSERVATION NUMBER.                       ARE NOT NEEDED IF DATA ARE READ FROM A FILE).
    30   0        1 DO BACK TRANSFORMATION OF DEPENDENT VARIABLE.              11  ESTIMATE OF VARIANCE CARD(S), IF ANY, FOR EACH
    31   0        1 PUNCH DATA FOR CONFIDENCE INTERVAL PROGRAM.                     DEPENDENT VARIABLE.
    32   0        0 LIST ALL INPUT DATA.
                  1 LIST ONLY 1ST OBSERVATION.
                  2 DO NOT LIST ANY INPUT DATA.                                SECOND PROBLEM
    33   1        0 LIST TRANSFORMATIONS AND ALL TRANSFORMED DATA.               IF DATA ARE REUSED FROM FIRST PROBLEM,
                  1 LIST TRANSFORMATIONS AND 1ST TRANSFORMED OBSERVATION.            DELETE THE FORMAT, DATA AND END CARDS.
                  2 DO NOT LIST TRANSFORMATIONS OR TRANSFORMED DATA.             IF NAMES ARE REUSED,
    34   0        1 DO NOT LIST SUMS OF VARIABLES.                                   DELETE THE NAME CARDS.
    35   0        1 DO NOT LIST RAW SUMS AND CROSS PRODUCTS WHEN B(O)=O.         IF DIFFERENT INPUT DATA AND NAMES,
    36   0        1 DO NOT LIST RESIDUAL SUMS AND CROSS PRODUCTS.                    REPEAT 1 - 11 ABOVE.
    37   0        1 DO NOT LIST MEANS AND ROOT MEAN SQUARES OF VARIABLES.
    38   0        1 DO NOT LIST SIMPLE CORRELATION COEFFICIENTS.         
    39   0        1 DO NOT LIST INVERSE MATRIX.
    40   2        1 DO NOT PRINT PLOTS OF RESIDUALS VS. FITTED Y.
                  2 PLOT (A) RESIDUALS AND (B) COMPONENT AND COMPONENT-
                     PLUS-RESIDUALS VS. EACH INDEPENDENT VARIABLE.
                  3 PLOT (A) RESIDUALS ONLY.
                  4 PLOT (B) COMPONENT AND COMPONENT-PLUS-RESIDUALS ONLY.
                  5 PLOT (B) BUT EXPAND SCALE TO FILL EACH PLOT.
                  TO OMIT PLOTS OF SPECIFIC INDEPENDENT VARIABLES, ON
                  THE TRANSFFORMATION CARDS PUT A 2 IN THE OMIT COLUMNS
                  OF THOSE VARIABLES.
    41   1        0 READ DATA WITH STANDARD FORMAT (A6, I4, I2, 10F6.3).
                  1 READ DATA WITH FORMAT TO BE READ, 1 CARD (72COL) ASSUMED.
                  2 READ DATA WITH READ DATA (REDATA) SUBROUTINE.
    42   2        0 DO NOT SAVE DATA FOR NEXT PROBLEM.
                  1 SAVE DATA FOR NEXT PROBLEM.
                  2 REUSE DATA FROM PREVIOUS PROBLEM.
 43-44   0        MAXIMUM NUMBER OF VARIABLES IN CP SEARCH IF GREATER THAN 12.
              18   STANDARD SEARCH,
              30   MODIFIED LEAPS AND BOUNDS SEARCH.
    45   0     8  NUMBER OF FORMAT CARDS IF GREATER THAN 1.
 46-47   8    12  NUMBER OF INFORMATION CARDS TO BE READ FOR DISPLAY ON
                   PRINTOUT IF DESIRED, 72 COL. EACH.
    48   1        1 READ NAMES OF VARIABLES FOR DISPLAY ON PRINTOUT.
                     NAMES IN SAME POSITIONS AS VARIABLES ON TRANSFORMATION
                     CARDS - COLS. 1-6, 11-16, - - - , 61-66.
                     NAMES ARE NOT MOVED, ONLY LISTED OR DELETED.
                  2 REUSE NAMES OF VARIABLES FROM PREVIOUS PROBLEM.
    49   0        CP SEARCH FOR CANDIDATE EQUATIONS.  USE ESTIMATE
                   OF VARIANCE (RMS) FROM:
                    1 FULL EQUATION,
                    2 SUBSET EQUATION WITH MINIMUM RMS VALUE, OR
                    3 ESTIMATE OF VARIANCE CARD, F16.8 FORMAT.
                    CP SEARCH BY MODIFIED LEAPS AND BOUNDS.
                    4 ESTIMATE RMS FROM 1 ABOVE,
                    5 ESTIMATE RMS FROM 2 ABOVE, OR
                    6 ESTIMATE RMS FROM 3 ABOVE.
    50   0     3  NUMBER OF CP SELECTED SEARCH CARDS TO BE READ.
                   KEYPUNCH WITH A 18(2X,I2) FORMAT IN ASCENDING ORDER
                   THE IDENTIFICATION NUMBER OF THE VARIABLES (AFTER
                   TRANSFORMATIONS) TO BE USED IN THAT SEARCH.
                   ALL OTHER VARIABLES WILL BE PLACED IN BASIC EQUATION.
                   IF THE TOTAL NUMBER OF VARIABLES TO BE SEARCHED IS
                   LARGE, GIVE TOTAL IN COLUMNS 43-44.
    51   0        1 LIST COMPONENT-EFFECT TABLE, REQUIRED X(I) PRECISION,
                     ESTIMATE OF STANDARD DEVIATION FROM NEAR NEIGHBORS,
                     AND FUNCTIONS OF FITTED Y.
                  2 LIST ONLY ESTIMATE OF STD. DEVIATION AND FUNCTIONS.
                  3 LIST ONLY FUNCTIONS OF FITTED Y.
 52-53   0        NUMBER OF FILE IF DATA ARE READ FROM SEPARATE FILE,
                   NO END CARD IF ONLY ONE SET OF DATA IS ON EACH FILE.
 54-55   0        NUMBER OF INDEPENDENT VARIABLES GREATER THAN THE 99
                   ALLOWED IN COLS 19-20.
 56-58   0        TO REDUCE PRINTOUT WITH MANY OBSERVATIONS,
                   NUMBER OF CENTRAL OBSERVATIONS AND RESIDUALS NOT
                   TO BE PRINTED.  THIS REQUIRES AN E IN COL 24.
    59   0        CROSS VERIFICATION OF MODEL AND COEFFICIENTS WITH A
                   SECOND SAMPLE OF DATA:
                    1 WRITE B(0) AND B(I)S ON FILE IN ONE PROBLEM
                       (TRANSFORMATIONS ARE NOT SAVED).
                    2 READ  B(0) AND B(I)S FROM FILE IN NEXT PROBLEM
                      WITH SECOND SET OF OBSERVATIONS.
    60   0     5  NUMBER OF DELETE-OBSERVATIONS CARDS.  KEYPUNCH
                   OBSERVATION NUMBER OF DATA TO BE DELETED IN ORDER READ
                   BY COMPUTER USING 7(I4,6X) FORMAT.
    61   0     5  NUMBER OF INDICATOR-VARIABLE-OBSERVATIONS CARDS.
                   USING A 7(I4,2X,I3,1X) FORMAT, KEYPUNCH OBSERVATION
                   NUMBER (IN ORDER READ) AND VARIABLE NUMBER (BEFORE
                   TRANSFORMATIONS) INTO WHICH A 1 IS TO BE INSERTED.
0EQUATION  2 OF A MULTI-EQUATION PROBLEM
0BZERO = CALCULATED VALUE
0INFORMATION CARDS
           EQUATION: Y = 20 + 20X1 - 3X2 - 1X1SQRD + ERROR(0,1)                    
           FITTED WITH Y = B0 + B1(X1-4.0) + B2X2 + B3(X1-4.0)SQRD                 
           ERROR FROM "A MILLION RANDOM DIGITS", RAND CORP., FREE PRESS, 1955.     
           1-20 OBSV. FROM TABLE PAGE 4, COL 4; 21-40 OBSV. FROM PAGE 12, COL 2.   
           OBSERVATIONS 21-40 ARE REPLICATES OF OBSERVATIONS 1-20.                 
               STD. DEVIATION ESTIMATED FROM NEAR NEIGHBORS (1.0), IS CLOSE TO     
           RRMS OF FIT.                                                            
           UNCODED FITTED EQUATION: Y = 20.006 + 20.310X1 - 3.007X2 - 1.038X1SQRD  
0DATA TRANSFORMATIONS
        POSITION   CODE   OPERATION                 CONSTANT  LOCATION  OMIT  VARIABLE  NAME
            1        8    ADD CONSTANT               -4.0         1      0        1     X1-4.0
            2             NONE                                    2      0        2     X2    
            3        9    MULTIPLY POSITIONS,  1X 1               3      2        3     X1SQRD
            4             NONE                                    4      0        4     Y     
0
1                                LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 2 VARIABLES PASS 2


0DATA INPUT          3 INDEPENDENT VARIABLES    1 DEPENDENT VARIABLE(S)

 OBSV.  SEQ.   1-11-21    2-12-22    3-13-23    4-14-24    5-15-25    6-16-26    7-17-27    8-18-28    9-19-29   10-20-30
    1     0      0.000      0.000      0.000     20.164
    2     0      0.200      2.000      0.000     18.847
    3     0      0.500      7.000      0.000      6.678
    4     0      1.000     10.000      0.000      8.709
    5     0      1.500      4.000      0.000     36.934
    6     0      2.000     16.000      0.000      8.397
    7     0      2.500     22.000      0.000     -1.778
    8     0      3.000      6.000      0.000     53.136
    9     0      3.500      9.000      0.000     51.883
   10     0      4.000     18.000      0.000     31.564
   11     0      4.500     28.000      0.000      5.739
   12     0      5.000     34.000      0.000     -6.466
   13     0      5.300     14.000      0.000     56.494
   14     0      5.500     24.000      0.000     28.523
   15     0      6.000     19.000      0.000     47.498
   16     0      6.500     38.000      0.000     -4.575
   17     0      7.000     33.000      0.000     10.730
   18     0      7.500     35.000      0.000      8.214
   19     0      7.800     30.000      0.000     23.790
   20     0      8.000     40.000      0.000     -3.518
   21     0      0.000      0.000      0.000     20.283
   22     0      0.200      2.000      0.000     16.970
   23     0      0.500      7.000      0.000      8.379
   24     0      1.000     10.000      0.000      9.876
   25     0      1.500      4.000      0.000     37.719
   26     0      2.000     16.000      0.000      8.445
   27     0      2.500     22.000      0.000     -1.841
   28     0      3.000      6.000      0.000     54.339
   29     0      3.500      9.000      0.000     51.646
   30     0      4.000     18.000      0.000     30.738
   31     0      4.500     28.000      0.000      5.373
   32     0      5.000     34.000      0.000     -7.537
   33     0      5.300     14.000      0.000     53.974
   34     0      5.500     24.000      0.000     28.636
   35     0      6.000     19.000      0.000     46.065
   36     0      6.500     38.000      0.000     -6.327
   37     0      7.000     33.000      0.000     13.001
   38     0      7.500     35.000      0.000      7.855
   39     0      7.800     30.000      0.000     26.869
   40     0      8.000     40.000      0.000     -3.659
0DATA TRANSFORMATIONS
        POSITION   CODE   OPERATION                 CONSTANT  LOCATION  OMIT  VARIABLE  NAME
            1        8    ADD CONSTANT               -4.0         1      0        1     X1-4.0
            2             NONE                                    2      0        2     X2    
            3        9    MULTIPLY POSITIONS,  1X 1               3      2        3     X1SQRD
            4             NONE                                    4      0        4     Y     
0FIRST OBSERVATION AFTER TRANSFORMATIONS      THE FITTED EQUATION HAS  3 INDEPENDENT VARIABLES,  1 DEPENDENT VARIABLE(S)

            X1-4.0      X2          X1SQRD      Y           
 OBSV.     1-11-21     2-12-22     3-13-23     4-14-24     5-15-25     6-16-26     7-17-27     8-18-28     9-19-29    10-20-30
    1 -4.00000E+00 0.00000E+00 1.60000E+01 2.01640E+01
0SUMS OF VARIABLES
       2.60000E+00 7.78000E+02 2.65140E+02 8.01767E+02
0RESIDUAL SUMS OF SQUARES + CROSS PRODUCTS
    1  2.64971E+02
    2  1.11563E+03 6.22990E+03
    3 -1.28401E+01 8.00700E+00 1.27529E+03
    4 -1.60588E+02-5.34992E+03-1.50199E+03 1.57550E+04
0MEANS OF VARIABLES
       6.50000E-02 1.94500E+01 6.62850E+00 2.00442E+01
0ROOT MEAN SQUARES OF VARIABLES
       2.60655E+00 1.26389E+01 5.71836E+00 2.00991E+01
0SIMPLE CORRELATION COEFFICIENTS, R(I,I PRIME)
    1        1.000
    2        0.868       1.000
    3       -0.022       0.003       1.000
    4       -0.079      -0.540      -0.335       1.000
0INVERSE, C(I,I PRIME)
    1        4.075
    2       -3.538       4.073
    3        0.100      -0.090       1.002
1                                      LINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 2 VARIABLES PASS 2  DEP VAR 1: Y                           MIN Y = -7.537E+00  MAX Y =  5.649E+01  RANGE Y =  6.403E+01

                   EQUATION: Y = 20 + 20X1 - 3X2 - 1X1SQRD + ERROR(0,1)                    
                   FITTED WITH Y = B0 + B1(X1-4.0) + B2X2 + B3(X1-4.0)SQRD                 
                   ERROR FROM "A MILLION RANDOM DIGITS", RAND CORP., FREE PRESS, 1955.     
                   1-20 OBSV. FROM TABLE PAGE 4, COL 4; 21-40 OBSV. FROM PAGE 12, COL 2.   
                   OBSERVATIONS 21-40 ARE REPLICATES OF OBSERVATIONS 1-20.                 
                       STD. DEVIATION ESTIMATED FROM NEAR NEIGHBORS (1.0), IS CLOSE TO     
                   RRMS OF FIT.                                                            
                   UNCODED FITTED EQUATION: Y = 20.006 + 20.310X1 - 3.007X2 - 1.038X1SQRD  
0IND.VAR(I)   NAME    COEF.B(I)      S.E. COEF.   T-VALUE   R(I)SQRD    MIN X(I)       MAX X(I)      RANGE X(I)  REL.INF.X(I)
      0              8.46383E+01      5.30E-01    159.8
      1     X1-4.0   1.20060E+01      1.22E-01     98.8      0.7546    -4.000E+00      4.000E+00      8.000E+00      1.50
      2     X2      -3.00741E+00      2.51E-02    120.0      0.7545     0.000E+00      4.000E+01      4.000E+01      1.88
      3     X1SQRD  -1.03800E+00      2.75E-02     37.8      0.0025     0.000E+00      1.600E+01      1.600E+01      0.26
0NO. OF OBSERVATIONS              40
 NO. OF IND. VARIABLES             3
 RESIDUAL DEGREES OF FREEDOM      36
 F-VALUE                        5455.3
 RESIDUAL ROOT MEAN SQUARE         0.98008387
 RESIDUAL MEAN SQUARE              0.96056440
 RESIDUAL SUM OF SQUARES          34.58031826
 TOTAL SUM OF SQUARES          15755.02817978
 MULT. CORREL. COEF. SQUARED        .9978
 ADJ. MULT. CORR. COEF. SQUARED     .9976
0-----------------ORDERED BY COMPUTER INPUT--------- ---------   ---------------------ORDERED BY RESIDUALS---------------------
 IDENT.  OBSV. WSS DISTANCE OBS. Y     FITTED Y     RESIDUAL   OBSV.      OBS. Y     FITTED Y  ORDERED RESID. STUD.RESID. SEQ
    1       1    6140       20.164       20.006        0.158     39       26.869       25.050        1.819        2.0       1
    2       2    5177       18.847       18.012        0.835     25       37.719       36.106        1.613        1.7       2
    3       3    3402        6.678        8.850       -2.172     16       -4.575       -6.116        1.541        1.7       3
    4       4    2257        8.709        9.204       -0.495     10       31.564       30.505        1.059        1.1       4
    5       5    3235       36.934       36.106        0.828     37       13.001       12.070        0.931        1.0       5
    6       6     760        8.397        8.356        0.041      2       18.847       18.012        0.835        0.9       6
    7       7     450       -1.778       -1.869        0.091      5       36.934       36.106        0.828        0.9       7
    8       8    1909       53.136       53.550       -0.414     28       54.339       53.550        0.789        0.9       8
    9       9    1122       51.883       51.309        0.574     20       -3.518       -4.242        0.724        0.8       9
   10      10      70       31.564       30.505        1.059     24        9.876        9.204        0.672        0.7      10
   11      11     762        5.739        6.174       -0.435     40       -3.659       -4.242        0.583        0.7      11
   12      12    2160       -6.466       -6.646        0.180      9       51.883       51.309        0.574        0.6      12
   13      13     536       56.494       56.388        0.106     34       28.636       28.134        0.502        0.5      13
   14      14     525       28.523       28.134        0.389     14       28.523       28.134        0.389        0.4      14
   15      15     572       47.498       47.357        0.141     29       51.646       51.309        0.337        0.4      15
   16      16    4130       -4.575       -6.116        1.541     21       20.283       20.006        0.277        0.3      16
   17      17    3028       10.730       12.070       -1.340     30       30.738       30.505        0.233        0.2      17
   18      18    4083        8.214        8.684       -0.470     12       -6.466       -6.646        0.180        0.2      18
   19      19    3210       23.790       25.050       -1.260      1       20.164       20.006        0.158        0.2      19
   20      20    6398       -3.518       -4.242        0.724     15       47.498       47.357        0.141        0.2      20
    1      21    6140       20.283       20.006        0.277     13       56.494       56.388        0.106        0.1      21
    2      22    5177       16.970       18.012       -1.042      7       -1.778       -1.869        0.091        0.1      22
    3      23    3402        8.379        8.850       -0.471     26        8.445        8.356        0.089        0.1      23
    4      24    2257        9.876        9.204        0.672      6        8.397        8.356        0.041        0.0      24
    5      25    3235       37.719       36.106        1.613     27       -1.841       -1.869        0.028        0.0      25
    6      26     760        8.445        8.356        0.089     36       -6.327       -6.116       -0.211       -0.2      26
    7      27     450       -1.841       -1.869        0.028      8       53.136       53.550       -0.414       -0.4      27
    8      28    1909       54.339       53.550        0.789     11        5.739        6.174       -0.435       -0.5      28
    9      29    1122       51.646       51.309        0.337     18        8.214        8.684       -0.470       -0.5      29
   10      30      70       30.738       30.505        0.233     23        8.379        8.850       -0.471       -0.5      30
   11      31     762        5.373        6.174       -0.801      4        8.709        9.204       -0.495       -0.5      31
   12      32    2160       -7.537       -6.646       -0.891     31        5.373        6.174       -0.801       -0.9      32
   13      33     536       53.974       56.388       -2.414     38        7.855        8.684       -0.829       -0.9      33
   14      34     525       28.636       28.134        0.502     32       -7.537       -6.646       -0.891       -1.0      34
   15      35     572       46.065       47.357       -1.292     22       16.970       18.012       -1.042       -1.1      35
   16      36    4130       -6.327       -6.116       -0.211     19       23.790       25.050       -1.260       -1.4      36
   17      37    3028       13.001       12.070        0.931     35       46.065       47.357       -1.292       -1.4      37
   18      38    4083        7.855        8.684       -0.829     17       10.730       12.070       -1.340       -1.4      38
   19      39    3210       26.869       25.050        1.819      3        6.678        8.850       -2.172       -2.3      39
   20      40    6398       -3.659       -4.242        0.583     33       53.974       56.388       -2.414       -2.6      40
1 2 VARIABLES PASS 2  DEP VAR 1: Y                     CUMULATIVE DISTRIBUTION OF RESIDUALS
                  .0002  .001  .005  .01 .02   .05  .1    .2   .3  .4  .5  .6  .7   .8    .9   .95  .98 .99 .995   .999
                    *-----*-------*--*---*-----*----*-----*----*---*---*---*---*----*-----*----*-----*---*--*-------*-----
                    I                                                  '                               +                 I
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                    I                                               ++++                                                 I
      R           0 I---------------------------------------------++-----------------------------------------------------I
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                    *-----*-------*--*---*-----*----*-----*----*---*---*---*---*----*-----*----*-----*---*--*-------*-----
                  .0002  .001  .005  .01 .02   .05  .1    .2   .3  .4  .5  .6  .7   .8    .9   .95  .98 .99 .995   .999
                                                       CUMULATIVE FREQUENCY, NORMAL GRID
1 2 VARIABLES PASS 2  DEP VAR 1: Y                           RESIDUAL VS. FITTED Y
                  -6.646                                            24.871                                            56.388
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                                                 +                                                  I
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      R           0 I------+---------------+-----------------------------------------------------------------------------I
      E             I                                                                                                    I
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      I             I+                                                                                                   I
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      A             I                   +   ++                                                                           I
      L             I                                                                                                    I
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                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                  -6.646                                            24.871                                            56.388
                                                                   FITTED Y
1 2 VARIABLES PASS 2  DEP VAR 1: Y              RESIDUALS VS. INDEPENDENT VARIABLE 1: X1-4.0
                  -4.000                  -2.000                     0.000                   2.000                     4.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                                                                                                 +  I
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                    I+                       +     +                                  +        +                         I
      R           0 I------------------------+-----+---------------------------------------------------------------------I
      E             I                                                                                                    I
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      I             I                                                                                 +                  I
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                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                  -4.000                  -2.000                     0.000                   2.000                     4.000
0                                                       INDEPENDENT VARIABLE 1: X1-4.0
1 2 VARIABLES PASS 2  DEP VAR 1: Y              COMPONENT WITH RESIDUALS VS. INDEPENDENT VARIABLE 1: X1-4.0
                                                 C = COMPONENT, + = WITH RESIDUAL, * = BOTH
                  -4.000                  -2.000                     0.000                   2.000                     4.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                                                                                                    I
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      P   A   P     I                                                                                                    I
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      N   D   U     I                                                                                                    I
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              I     I                                                                                                    I
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              A     I                        *                                                                           I
              L     I                                                                                                    I
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                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                  -4.000                  -2.000                     0.000                   2.000                     4.000
0                                                       INDEPENDENT VARIABLE 1: X1-4.0
   0 RESIDUALS OUTSIDE OF PLOT
1 2 VARIABLES PASS 2  DEP VAR 1: Y              RESIDUALS VS. INDEPENDENT VARIABLE 2: X2    
                   0.000                  10.000                    20.000                  30.000                    40.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                                                                          +                         I
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                    I+                                 +    +      +       +                                             I
      R           0 I---------------------------------------+--------------+---------------------------------------------I
      E             I                                                                                                    I
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      I             I                                                                                              +     I
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      A             I                +       +                                            +                 +            I
      L             I                                                                                                    I
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                    I                                                                     +                 +            I
                    I                                                                                    +               I
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                    I                                              +                           +                         I
                    I                                                                                  +                 I
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                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                   0.000                  10.000                    20.000                  30.000                    40.000
0                                                       INDEPENDENT VARIABLE 2: X2    
1 2 VARIABLES PASS 2  DEP VAR 1: Y              COMPONENT WITH RESIDUALS VS. INDEPENDENT VARIABLE 2: X2    
                                                 C = COMPONENT, + = WITH RESIDUAL, * = BOTH
                   0.000                  10.000                    20.000                  30.000                    40.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I*                                                                                                   I
                    I                                                                                                    I
                    I    C                                                                                               I
                    I    +                                                                                               I
                    I         +                                                                                          I
                    I         C                                                                                          I
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                    I                *                                                                                   I
                    I                                                                                                    I
                    I                     *                                                                              I
                    I                        *                                                                           I
                    I                        +                                                                           I
              C     I                                                                                                    I
              O     I                                                                                                    I
              M     I                                                                                                    I
              P     I                                  C                                                                 I
              O     I                                  +                                                                 I
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              E     I                                       *                                                            I
      C       N     I                                                                                                    I
      O       T     I                                            +                                                       I
      M             I                                            C                                                       I
      P   A   P     I                                              *                                                     I
      O   N   L     I                                                                                                    I
      N   D   U     I                                                                                                    I
      E       S     I                                                                                                    I
      N             I                                                      *                                             I
      T       R     I                                                                                                    I
              E     I                                                           *                                        I
              S     I                                                                                                    I
              I     I                                                                                                    I
              D     I                                                                                                    I
              U     I                                                                                                    I
              A     I                                                                     C                              I
              L     I                                                                     +                              I
              S     I                                                                          +                         I
                    I                                                                          C                         I
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                    I                                                                                  +                 I
                    I                                                                                  C                 I
                    I                                                                                    *               I
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                    I                                                                                              +     I
                    I                                                                                              *     I
                    I                                                                                                    I
                    I                                                                                                   *I
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                   0.000                  10.000                    20.000                  30.000                    40.000
0                                                       INDEPENDENT VARIABLE 2: X2    
   0 RESIDUALS OUTSIDE OF PLOT