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Trailing-Edge - PDP-10 Archives - decuslib10-06 - 43,50402/nonlin.tr2
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1                                          NONLINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 1980 VERSION OF THE NONLINWOOD 15 VARIABLE, 43 COEFFICIENT, 170 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.

0EXAMPLE 1, LAMP HEAT

0                         CONTROL CARD INFORMATION                                       ORDER OF CARDS

 COL.  INPUT  MAX ITEM   (NOTE: BLANK ON CARD = 0)                    FIRST PROBLEM
  1-20            IDENTIFICATION OF PROBLEM.                          1  CONTROL CARD.
    21  0         0  OBSERVATIONS READ FROM CARDS OR FILE.            2  FORMAT CARD (72 COLUMNS, ORDER: IDENT, Y, X(I)'S),
                  1  REUSE DATA FROM PREVIOUS PROBLEM.                    E.G. (A6, F6.0, (NOIND*F6.0) ).
 23-24  2      43 NUMBER OF COEFFICIENTS TO BE ESTIMATED.             3  DELETE-OBSERVATIONS CARD(S), IF ANY.
 25-26  0         FILE NUMBER IF DATA ARE TO BE READ FROM A           4  STARTING VALUES (GUESSES) OF COEFFICIENTS 
                   SEPARATE FILE.  NO END CARD(S) IF ONLY ONE             (10 COLUMNS / COEFFICIENT, 7 COEFFICIENTS / CARD).
                   SET OF DATA IS ON EACH FILE.                       5  INFORMATION CARDS FOR PRINTOUT, IF ANY.
 27-28  1      15 NUMBER OF INDEPENDENT VARIABLES TO BE READ IN.      6  NAMES OF COEFFICIENTS CARD(S) FOR PRINTOUT, IF ANY.
 31-32  1         NUMBER OF EQUATION TO BE USED.                      7  DATA CARDS (IF NOT READ FROM A FILE).
                                                                      8  END CARD (END IN COLUMNS 1 - 3 OF IDENTIFICATION
 33-36  0.010     STARTING VALUE FOR LAMBDA, F4.2, (E.G. 0.1),            FIELD).  THE NUMBER OF END CARDS MUST EQUAL THE
                   USED AS A MULTIPLIER TO SCALE THE SPACE OR             NUMBER OF CARDS PER OBSERVATION.  (END CARDS
                   SIZE OF STEPS TAKEN.                                   ARE NOT NEEDED IF DATA ARE READ FROM A FILE).
 37-40 10.000     VALUE OF NU, F4.0, (E.G. 10.).
                   DIVISOR AND MULTIPLIER TO CHANGE SIZE OF           SECOND PROBLEM
                   LAMBDA DEPENDING ON WHETHER SUM OF SQUARES OF         IF DATA ARE REUSED FROM FIRST PROBLEM,
                   ITERATION IS NEAR OR FAR FROM MINIMUM.                   DELETE THE FORMAT, DATA AND END CARDS.
 43-44 10         MAXIMUM NUMBER OF ITERATIONS, I2, (E.G. 20).           IF DIFFERENT DATA,
 45-48  0.010     MULTIPLIER USED TO INCREMENT VALUE OF                     REPEAT 1 - 8 ABOVE.
                   COEFFICIENTS, F4.3 (E.G. 0.01).

                  NOTE: IF VALUES IN COLUMNS 33-48 ARE NOT DEFINED
                        ON THE CONTROL CARD.  THEIR LEVEL WILL BE
                        SET AUTOMATICALLY TO THE ABOVE E.G. VALUES.

                  CRITERIA FOR ENDING CONVERGING ITERATIONS.
 49-56  0.0E+00   SUM OF SQUARES CRITERION, F8.7,
                   (E.G. 0.0001, A CHANGE OF LESS THAN 0.0001 IN
                   THE RESIDUAL SUM OF SQUARES).
 57-64  1.0E-05   RATIO OF COEFFICIENTS CRITERION, F8.7,
                   (E.G. 0.001, A CHANGE OF LESS THAN 0.001 IN
                   THE RATIOS OF ALL COMPARABLE COEFFICIENTS).

                  NOTE: VALUES IN COLUMNS 49-64 CAN BE SET AT 0.0
                        IF CONTROL OF EITHER OR BOTH IS NOT DESIRED.

 65-66  3      12 NUMBER OF INFORMATION CARDS TO BE READ FOR DISPLAY
                   ON PRINTOUT IF DESIRED, 72 COLUMNS EACH.
    68  1         1  READ NAMES OF COEFFICIENTS FROM CARDS FOR
                     DISPLAY ON PRINTOUT, 1ST 6 OF 10 COLUMNS /
                     COEFFICIENT,  7 / CARD.
    69  3         3  PLOT RESIDUALS VS. EACH INDEPENDENT VARIABLE.
    70  1       2 NUMBER OF DELETE-OBSERVATIONS CARDS, OBSERVATION
                   IDENTIFICATION IN 1ST 6 OF 10 COLUMNS, 7 / CARD.
0                SUBROUTINE ARGUMENTS AND DIMENSIONS
 SUBROUTINE MODEL1 (NPROB, B, FY, NOB, NC, X, NVARX, NOBMAX, NCMAX, KTOU)
 DIMENSION  B(NCMAX), FY(NOBMAX), X(NVARX,NOBMAX)


 Y = A(X)EXPONENT B                                                      
 WHERE Y = ENERGY RADIATED FROM CARBON FILAMENT / (CM)SQRD / SEC.        
       X = ABSOLUTE TEMPERATURE OF FILAMENT IN M DEGREES, KELVIN.        
0DATA FORMAT ( A6, 6X, 2F6.0 )                                                       

 OBSV. NO.  IDENT.  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     GAUS      1      2.138      1.309
      2     HAUS      1      3.421      1.471
      3               1      3.597      1.490
      4     TEST      1      4.340      1.565
      5               1      4.882      1.611
      6     PROB      1      5.660      1.680
0OBSERVATIONS DELETED
      EXTRA       642531      
1NONLINEAR ESTIMATION,         EXAMPLE 1, LAMP HEAT
 NUMBER OF OBSERVATIONS    6
 NUMBER OF COEFFICIENTS    2
 STARTING LAMBDA           0.010
 STARTING NU              10.000
 MAX NO. OF ITERATIONS    10


0INITIAL VALUES OF THE COEFFICIENTS
     1           2          
0 7.25000E-01 4.00000E+00
0PROPORTIONS USED IN CALCULATING DIFFERENCE QUOTIENTS
     1           2          
0 1.00000E-02 1.00000E-02
0INITIAL SUM OF SQUARES:  1.4721E-02



                                   ITERATION NO.   1
0EIGENVALUES OF MOMENT MATRIX - PRELIMINARY ANALYSIS
0 2.21970E+02 3.71626E-01
0DETERMINANT:  2.0207E-02
0ANGLE IN SCALED. COORD,=81.30 DEGREES
0VALUES OF COEFFICIENTS
     1           2          
  7.62903E-01 3.87582E+00
0LAMBDA: 1.000E-03                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  4.4737E-03



                                   ITERATION NO.   2
0DETERMINANT:  1.8787E-02
0ANGLE IN SCALED. COORD,=81.52 DEGREES
0VALUES OF COEFFICIENTS
     1           2          
  7.68783E-01 3.86069E+00
0LAMBDA: 1.000E-04                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  4.3174E-03



                                   ITERATION NO.   3
0DETERMINANT:  1.8654E-02
0ANGLE IN SCALED. COORD,=82.14 DEGREES
0VALUES OF COEFFICIENTS
     1           2          
  7.68914E-01 3.86026E+00
0LAMBDA: 1.000E-05                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  4.3173E-03



                                   ITERATION NO.   4
0DETERMINANT:  1.8637E-02
0ANGLE IN SCALED. COORD,=69.50 DEGREES
0DETERMINANT:  1.8655E-02
0ANGLE IN SCALED. COORD,=69.49 DEGREES
0DETERMINANT:  1.8835E-02
0ANGLE IN SCALED. COORD,=69.31 DEGREES
0DETERMINANT:  2.0636E-02
0ANGLE IN SCALED. COORD,=67.59 DEGREES
0DETERMINANT:  3.8735E-02
0ANGLE IN SCALED. COORD,=52.80 DEGREES
0DETERMINANT:  2.2864E-01
0ANGLE IN SCALED. COORD,=13.31 DEGREES
0VALUES OF COEFFICIENTS
     1           2          
  7.68913E-01 3.86026E+00
0LAMBDA: 1.000E-01                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  4.3173E-03
0ITERATION STOPS - RELATIVE CHANGE IN EACH COEFFICIENT LESS THAN:  1.0000E-05
0CORRELATION MATRIX
0DETERMINANT:  7.3241E+01
        1          2         
  1   1.0000    
  2  -0.9906     1.0000    
1                            NONLINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 EXAMPLE 1, LAMP HEAT  DEP.VAR.: MIN Y = 2.138E+00  MAX Y =  5.660E+00  RANGE Y =  3.522E+00

                   Y = A(X)EXPONENT B                                                      
                   WHERE Y = ENERGY RADIATED FROM CARBON FILAMENT / (CM)SQRD / SEC.        
                         X = ABSOLUTE TEMPERATURE OF FILAMENT IN M DEGREES, KELVIN.        
                   OBSERVATIONS DELETED: EXTRA   642531  
0                                                              95% CONFIDENCE LIMITS
 IND.VAR(I)   NAME     COEF.B(I)      S.E. COEF     T-VALUE    LOWER            UPPER
      1           A   7.68913E-01      1.82E-02      42.4      7.19E-01      8.19E-01
      2      EXP. B   3.86026E+00      5.09E-02      75.9      3.72E+00      4.00E+00
0NO. OF OBSERVATIONS               6
 NO. OF COEFFICIENTS               2
 RESIDUAL DEGREES OF FREEDOM       4
 RESIDUAL ROOT MEAN SQUARE         0.03285315
 RESIDUAL MEAN SQUARE              0.00107933
 RESIDUAL SUM OF SQUARES           0.00431732
0---------ORDERED BY COMPUTER INPUT----------          ----------------ORDERED BY RESIDUALS-----------------
 OBS. NO.    OBS. Y     FITTED Y     RESIDUAL          OBS. NO.    OBS. Y     FITTED Y  ORDERED RESID.  SEQ.
  GAUS        2.138        2.174       -0.036                       4.882        4.845        0.037      1
  HAUS        3.421        3.411        0.010                       3.597        3.584        0.013      2
              3.597        3.584        0.013           HAUS        3.421        3.411        0.010      3
  TEST        4.340        4.333        0.007           TEST        4.340        4.333        0.007      4
              4.882        4.845        0.037           GAUS        2.138        2.174       -0.036      5
  PROB        5.660        5.697       -0.037           PROB        5.660        5.697       -0.037      6
1 EXAMPLE 1, LAMP HEAT                                 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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                  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 EXAMPLE 1, LAMP HEAT                                       RESIDUAL VS. FITTED Y
                   2.174                                             3.935                                             5.697
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                                                                           +                        I
                    I                                                                                                    I
                  P I                                                                                                    I
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                  0 I------------------------------------------------------------+---------------------------------------I
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                    I+                                                                                                  +I
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                   2.174                                             3.935                                             5.697
                                                                   FITTED Y
1 EXAMPLE 1, LAMP HEAT                              RESIDUALS VS. INDEPENDENT VARIABLE  1
                   1.309                   1.402                     1.494                   1.587                     1.680
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I                                                                                 +                  I
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                  0 I--------------------------------------------------------------------+-------------------------------I
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                    I+                                                                                                  +I
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                   1.309                   1.402                     1.494                   1.587                     1.680
0                                                          INDEPENDENT VARIABLE 1
1END OF PROBLEM    EXAMPLE 1, LAMP HEAT
1                                          NONLINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 1980 VERSION OF THE NONLINWOOD 15 VARIABLE, 43 COEFFICIENT, 170 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.

0CEMENT HEAT, PASS 10

0                         CONTROL CARD INFORMATION                                       ORDER OF CARDS

 COL.  INPUT  MAX ITEM   (NOTE: BLANK ON CARD = 0)                    FIRST PROBLEM
  1-20            IDENTIFICATION OF PROBLEM.                          1  CONTROL CARD.
    21  0         0  OBSERVATIONS READ FROM CARDS OR FILE.            2  FORMAT CARD (72 COLUMNS, ORDER: IDENT, Y, X(I)'S),
                  1  REUSE DATA FROM PREVIOUS PROBLEM.                    E.G. (A6, F6.0, (NOIND*F6.0) ).
 23-24 19      43 NUMBER OF COEFFICIENTS TO BE ESTIMATED.             3  DELETE-OBSERVATIONS CARD(S), IF ANY.
 25-26  0         FILE NUMBER IF DATA ARE TO BE READ FROM A           4  STARTING VALUES (GUESSES) OF COEFFICIENTS 
                   SEPARATE FILE.  NO END CARD(S) IF ONLY ONE             (10 COLUMNS / COEFFICIENT, 7 COEFFICIENTS / CARD).
                   SET OF DATA IS ON EACH FILE.                       5  INFORMATION CARDS FOR PRINTOUT, IF ANY.
 27-28  6      15 NUMBER OF INDEPENDENT VARIABLES TO BE READ IN.      6  NAMES OF COEFFICIENTS CARD(S) FOR PRINTOUT, IF ANY.
 31-32  5         NUMBER OF EQUATION TO BE USED.                      7  DATA CARDS (IF NOT READ FROM A FILE).
                                                                      8  END CARD (END IN COLUMNS 1 - 3 OF IDENTIFICATION
 33-36  0.000     STARTING VALUE FOR LAMBDA, F4.2, (E.G. 0.1),            FIELD).  THE NUMBER OF END CARDS MUST EQUAL THE
                   USED AS A MULTIPLIER TO SCALE THE SPACE OR             NUMBER OF CARDS PER OBSERVATION.  (END CARDS
                   SIZE OF STEPS TAKEN.                                   ARE NOT NEEDED IF DATA ARE READ FROM A FILE).
 37-40  0.000     VALUE OF NU, F4.0, (E.G. 10.).
                   DIVISOR AND MULTIPLIER TO CHANGE SIZE OF           SECOND PROBLEM
                   LAMBDA DEPENDING ON WHETHER SUM OF SQUARES OF         IF DATA ARE REUSED FROM FIRST PROBLEM,
                   ITERATION IS NEAR OR FAR FROM MINIMUM.                   DELETE THE FORMAT, DATA AND END CARDS.
 43-44 99         MAXIMUM NUMBER OF ITERATIONS, I2, (E.G. 20).           IF DIFFERENT DATA,
 45-48  0.000     MULTIPLIER USED TO INCREMENT VALUE OF                     REPEAT 1 - 8 ABOVE.
                   COEFFICIENTS, F4.3 (E.G. 0.01).

                  NOTE: IF VALUES IN COLUMNS 33-48 ARE NOT DEFINED
                        ON THE CONTROL CARD.  THEIR LEVEL WILL BE
                        SET AUTOMATICALLY TO THE ABOVE E.G. VALUES.

                  CRITERIA FOR ENDING CONVERGING ITERATIONS.
 49-56  0.0E+00   SUM OF SQUARES CRITERION, F8.7,
                   (E.G. 0.0001, A CHANGE OF LESS THAN 0.0001 IN
                   THE RESIDUAL SUM OF SQUARES).
 57-64  1.0E-06   RATIO OF COEFFICIENTS CRITERION, F8.7,
                   (E.G. 0.001, A CHANGE OF LESS THAN 0.001 IN
                   THE RATIOS OF ALL COMPARABLE COEFFICIENTS).

                  NOTE: VALUES IN COLUMNS 49-64 CAN BE SET AT 0.0
                        IF CONTROL OF EITHER OR BOTH IS NOT DESIRED.

 65-66 12      12 NUMBER OF INFORMATION CARDS TO BE READ FOR DISPLAY
                   ON PRINTOUT IF DESIRED, 72 COLUMNS EACH.
    68  1         1  READ NAMES OF COEFFICIENTS FROM CARDS FOR
                     DISPLAY ON PRINTOUT, 1ST 6 OF 10 COLUMNS /
                     COEFFICIENT,  7 / CARD.
    69  3         3  PLOT RESIDUALS VS. EACH INDEPENDENT VARIABLE.
    70  0       2 NUMBER OF DELETE-OBSERVATIONS CARDS, OBSERVATION
                   IDENTIFICATION IN 1ST 6 OF 10 COLUMNS, 7 / CARD.
0                SUBROUTINE ARGUMENTS AND DIMENSIONS
 SUBROUTINE MODEL5 (NPROB, B, FY, NOB, NC, X, NVARX, NOBMAX, NCMAX, KTOU)
 DIMENSION  B(NCMAX), FY(NOBMAX), X(NVARX,NOBMAX)


 Z   =  H + (G - 1)D' + ( A' / ( T + F' )EXP B  )                        
 Z   =  ACID HEAT OF SOLUTION AT TIME "T"                                
        B, G AND H ARE COMMON TO ALL CEMENTS                             
 A'  =  A1X1 - A2X2 + A3X3 + A4X4 + A5X5 + A12X1X2 - A13X1X3 - A14X1X4   
      - A23X2X3 + A24X2X4 - A34X3X4                                      
 D'  =  D1X1 + D2X2 + D3X3 + D4X4 + D5X5                                 
 F'  = TIME CORRECTION TERM = ( A' / (GD' - H) )EXP(1/B)                 
    X1  =  (MOL PERCENT SILICA IN THE CLINKER - 20.9) / 7.43             
    X2  =  (MOL PERCENT ALUMINA - 2.03) / 7.43                           
    X3  =  (MOL PERCENT FERRIC OXIDE - 0.44) / 7.43                      
    X4  =  (MOL PERCENT LIME - 66.1) / 7.43                              
    X5  =  (MOL PERCENT MAGNESIA - 3.10) / 7.43 ; OBSV. 85-3-2 OMITTED.  
0DATA FORMAT ( 6X, A4, 2X, 2F6.1/ 12X, 5F10.5 )                                      

 OBSV. NO.  IDENT.  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     22 0      1    588.700      0.000     26.637      2.132      0.717     66.959      3.555
      2     22 3      1    537.500      3.000     26.637      2.132      0.717     66.959      3.555
      3     22 7      1    535.600      7.000     26.637      2.132      0.717     66.959      3.555
      4     2228      1    516.200     28.000     26.637      2.132      0.717     66.959      3.555
      5     2290      1    507.500     90.000     26.637      2.132      0.717     66.959      3.555
      6     2218      1    510.200    180.000     26.637      2.132      0.717     66.959      3.555
      7     2236      1    503.200    365.000     26.637      2.132      0.717     66.959      3.555
      8     23 0      1    575.700      0.000     25.703      2.030      1.884     66.961      3.422
      9     23 3      1    535.100      3.000     25.703      2.030      1.884     66.961      3.422
     10     23 7      1    530.000      7.000     25.703      2.030      1.884     66.961      3.422
     11     2328      1    514.700     28.000     25.703      2.030      1.884     66.961      3.422
     12     2390      1    503.800     90.000     25.703      2.030      1.884     66.961      3.422
     13     2318      1    501.400    180.000     25.703      2.030      1.884     66.961      3.422
     14     2336      1    499.700    365.000     25.703      2.030      1.884     66.961      3.422
     15     92 0      1    623.600      0.000     21.135      3.275      1.007     67.324      7.258
     16     92 0      1    624.100      0.000     21.135      3.275      1.007     67.324      7.258
     17     92 3      1    548.800      3.000     21.135      3.275      1.007     67.324      7.258
     18     92 7      1    538.900      7.000     21.135      3.275      1.007     67.324      7.258
     19     9228      1    531.400     28.000     21.135      3.275      1.007     67.324      7.258
     20     9290      1    523.000     90.000     21.135      3.275      1.007     67.324      7.258
     21     9218      1    519.300    180.000     21.135      3.275      1.007     67.324      7.258
     22     9236      1    513.200    365.000     21.135      3.275      1.007     67.324      7.258
     23     88 0      1    595.500      0.000     24.258      3.399      1.039     67.779      3.525
     24     88 3      1    542.300      3.000     24.258      3.399      1.039     67.779      3.525
     25     88 7      1    532.400      7.000     24.258      3.399      1.039     67.779      3.525
     26     8828      1    521.800     28.000     24.258      3.399      1.039     67.779      3.525
     27     8890      1    517.800     90.000     24.258      3.399      1.039     67.779      3.525
     28     8818      1    507.900    180.000     24.258      3.399      1.039     67.779      3.525
     29     8836      1    504.900    365.000     24.258      3.399      1.039     67.779      3.525
     30     96 0      1    604.500      0.000     24.330      2.210      0.771     69.273      3.416
     31     96 0      1    603.200      0.000     24.330      2.210      0.771     69.273      3.416
     32     96 3      1    532.600      3.000     24.330      2.210      0.771     69.273      3.416
     33     96 7      1    525.700      7.000     24.330      2.210      0.771     69.273      3.416
     34     9628      1    515.700     28.000     24.330      2.210      0.771     69.273      3.416
     35     9690      1    511.900     90.000     24.330      2.210      0.771     69.273      3.416
     36     9618      1    508.600    180.000     24.330      2.210      0.771     69.273      3.416
     37     9636      1    501.000    365.000     24.330      2.210      0.771     69.273      3.416
     38     85 0      1    618.800      0.000     21.918      3.570      1.053     69.905      3.554
     39     85 3      1    538.200      3.000     21.918      3.570      1.053     69.905      3.554
     40     85 7      1    528.500      7.000     21.918      3.570      1.053     69.905      3.554
     41     85 7      1    530.200      7.000     21.918      3.570      1.053     69.905      3.554
     42     8528      1    517.800     28.000     21.918      3.570      1.053     69.905      3.554
     43     8528      1    517.100     28.000     21.918      3.570      1.053     69.905      3.554
     44     8590      1    515.100     90.000     21.918      3.570      1.053     69.905      3.554
     45     8590      1    514.300     90.000     21.918      3.570      1.053     69.905      3.554
     46     8518      1    509.600    180.000     21.918      3.570      1.053     69.905      3.554
     47     8518      1    511.800    180.000     21.918      3.570      1.053     69.905      3.554
     48     8536      1    509.000    365.000     21.918      3.570      1.053     69.905      3.554
     49     8536      1    508.500    365.000     21.918      3.570      1.053     69.905      3.554
     50     94 0      1    610.000      0.000     20.954      2.737      2.161     71.045      3.102
     51     94 0      1    611.700      0.000     20.954      2.737      2.161     71.045      3.102
     52     94 3      1    532.700      3.000     20.954      2.737      2.161     71.045      3.102
     53     94 7      1    522.500      7.000     20.954      2.737      2.161     71.045      3.102
     54     9428      1    517.600     28.000     20.954      2.737      2.161     71.045      3.102
     55     9490      1    509.500     90.000     20.954      2.737      2.161     71.045      3.102
     56     9418      1    507.300    180.000     20.954      2.737      2.161     71.045      3.102
     57     9436      1    502.000    365.000     20.954      2.737      2.161     71.045      3.102
     58     24 0      1    573.000      0.000     23.810      2.878      2.743     67.194      3.375
     59     24 3      1    530.900      3.000     23.810      2.878      2.743     67.194      3.375
     60     24 7      1    526.200      7.000     23.810      2.878      2.743     67.194      3.375
     61     2428      1    511.500     28.000     23.810      2.878      2.743     67.194      3.375
     62     2490      1    503.000     90.000     23.810      2.878      2.743     67.194      3.375
     63     2418      1    500.500    180.000     23.810      2.878      2.743     67.194      3.375
     64     2436      1    501.400    365.000     23.810      2.878      2.743     67.194      3.375
     65     89 0      1    599.000      0.000     22.170      2.766      2.301     69.274      3.489
     66     89 3      1    534.300      3.000     22.170      2.766      2.301     69.274      3.489
     67     89 7      1    521.100      7.000     22.170      2.766      2.301     69.274      3.489
     68     8928      1    513.200     28.000     22.170      2.766      2.301     69.274      3.489
     69     8990      1    508.900     90.000     22.170      2.766      2.301     69.274      3.489
     70     8918      1    505.900    180.000     22.170      2.766      2.301     69.274      3.489
     71     8936      1    502.000    365.000     22.170      2.766      2.301     69.274      3.489
     72     90 0      1    633.400      0.000     20.966      5.076      0.438     69.792      3.729
     73     90 3      1    543.900      3.000     20.966      5.076      0.438     69.792      3.729
     74     90 7      1    536.800      7.000     20.966      5.076      0.438     69.792      3.729
     75     9028      1    524.600     28.000     20.966      5.076      0.438     69.792      3.729
     76     9090      1    519.300     90.000     20.966      5.076      0.438     69.792      3.729
     77     9018      1    517.500    180.000     20.966      5.076      0.438     69.792      3.729
     78     9036      1    510.700    365.000     20.966      5.076      0.438     69.792      3.729
     79     25 0      1    585.900      0.000     22.767      2.983      2.842     68.029      3.379
     80     25 3      1    527.100      3.000     22.767      2.983      2.842     68.029      3.379
     81     25 7      1    523.100      7.000     22.767      2.983      2.842     68.029      3.379
     82     2528      1    511.700     28.000     22.767      2.983      2.842     68.029      3.379
     83     2590      1    507.800     90.000     22.767      2.983      2.842     68.029      3.379
     84     2518      1    502.100    180.000     22.767      2.983      2.842     68.029      3.379
     85     2536      1    502.800    365.000     22.767      2.983      2.842     68.029      3.379
     86     95 0      1    625.600      0.000     21.000      3.519      1.085     70.644      3.753
     87     95 3      1    540.800      3.000     21.000      3.519      1.085     70.644      3.753
     88     95 7      1    531.100      7.000     21.000      3.519      1.085     70.644      3.753
     89     9528      1    521.900     28.000     21.000      3.519      1.085     70.644      3.753
     90     9590      1    518.100     90.000     21.000      3.519      1.085     70.644      3.753
     91     9518      1    512.300    180.000     21.000      3.519      1.085     70.644      3.753
     92     9536      1    510.200    365.000     21.000      3.519      1.085     70.644      3.753
     93     91 0      1    624.000      0.000     21.430      3.205      0.985     70.830      3.550
     94     91 3      1    540.000      3.000     21.430      3.205      0.985     70.830      3.550
     95     91 7      1    532.700      7.000     21.430      3.205      0.985     70.830      3.550
     96     9128      1    524.100     28.000     21.430      3.205      0.985     70.830      3.550
     97     9190      1    517.800     90.000     21.430      3.205      0.985     70.830      3.550
     98     9118      1    514.600    180.000     21.430      3.205      0.985     70.830      3.550
     99     9136      1    507.700    365.000     21.430      3.205      0.985     70.830      3.550
    100     70 0      1    564.700      0.000     26.004      2.454      2.304     66.105      3.133
    101     70 3      1    536.400      3.000     26.004      2.454      2.304     66.105      3.133
    102     70 7      1    528.400      7.000     26.004      2.454      2.304     66.105      3.133
    103     7028      1    514.900     28.000     26.004      2.454      2.304     66.105      3.133
    104     7036      1    502.100    365.000     26.004      2.454      2.304     66.105      3.133
1NONLINEAR ESTIMATION,         CEMENT HEAT, PASS 10
 NUMBER OF OBSERVATIONS  104
 NUMBER OF COEFFICIENTS   19
 STARTING LAMBDA           0.100
 STARTING NU              10.000
 MAX NO. OF ITERATIONS    99


0INITIAL VALUES OF THE COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          
0 2.00000E-01 7.18000E-01 3.14500E+02 8.17300E+01 3.16700E+01 3.16210E+02 7.09400E+01 9.08000E+01 3.45880E+02 3.17090E+02
0 8.62200E+01 8.35930E+02 1.51800E+02 3.46500E+02 5.75760E+02 6.21510E+02 5.21240E+02 6.41440E+02 6.36770E+02
0PROPORTIONS USED IN CALCULATING DIFFERENCE QUOTIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          
0 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02
0 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02
0INITIAL SUM OF SQUARES:  3.9992E+02



                                   ITERATION NO.   1
0EIGENVALUES OF MOMENT MATRIX - PRELIMINARY ANALYSIS
0 5.09908E+04 3.24042E+07 9.39654E-03 1.16877E+00 8.54829E-02 1.53994E-01 1.14956E-01 3.85932E-01 1.09589E-03 1.28952E-02
0 3.51723E-02 1.85651E-05 3.14966E-04 4.67287E-03 3.30869E+00 2.62897E-01 4.98773E-01 4.38149E+00 9.30626E-01
0DETERMINANT:  7.7429E-14
0ANGLE IN SCALED. COORD,=76.20 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          
  1.95805E-01 7.17641E-01 3.14768E+02 8.46629E+01 3.11675E+01 3.16190E+02 6.83895E+01 8.95848E+01 3.15510E+02 3.29678E+02
  8.81634E+01 7.91087E+02 1.57750E+02 3.45293E+02 5.75590E+02 6.22689E+02 5.21658E+02 6.40774E+02 6.36485E+02
0LAMBDA: 1.000E-02                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  3.4066E+02



                                   ITERATION NO.   2
0DETERMINANT:  2.4685E-17
0ANGLE IN SCALED. COORD,=74.52 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          
  1.94968E-01 7.17891E-01 3.14802E+02 8.51822E+01 3.68343E+01 3.16018E+02 6.63200E+01 9.07564E+01 3.17430E+02 3.32079E+02
  8.60768E+01 7.79583E+02 1.74111E+02 3.41224E+02 5.75546E+02 6.22676E+02 5.21709E+02 6.40781E+02 6.36474E+02
0LAMBDA: 1.000E-03                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  3.4006E+02



                                   ITERATION NO.   3
0DETERMINANT:  3.5755E-19
0ANGLE IN SCALED. COORD,=70.40 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          
  1.95323E-01 7.18714E-01 3.15354E+02 8.50836E+01 4.40866E+01 3.22563E+02 6.53750E+01 9.19969E+01 3.28389E+02 3.40612E+02
  8.52377E+01 7.98366E+02 1.90091E+02 3.47105E+02 5.75544E+02 6.22691E+02 5.21699E+02 6.40783E+02 6.36471E+02
0LAMBDA: 1.000E-04                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  3.3996E+02



                                   ITERATION NO.   4
0DETERMINANT:  8.9001E-20
0ANGLE IN SCALED. COORD,=87.88 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          
  1.95963E-01 7.20117E-01 3.16309E+02 8.49991E+01 4.64816E+01 3.26772E+02 6.53453E+01 9.22813E+01 3.33143E+02 3.46569E+02
  8.55303E+01 8.10888E+02 1.94699E+02 3.52482E+02 5.75542E+02 6.22705E+02 5.21680E+02 6.40787E+02 6.36473E+02
0LAMBDA: 1.000E-05                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  3.3996E+02



                                   ITERATION NO.   5
0DETERMINANT:  7.3680E-20
0ANGLE IN SCALED. COORD,=89.44 DEGREES
0DETERMINANT:  9.1750E-20
0ANGLE IN SCALED. COORD,=89.38 DEGREES
0DETERMINANT:  3.7238E-19
0ANGLE IN SCALED. COORD,=88.92 DEGREES
0DETERMINANT:  2.5334E-17
0ANGLE IN SCALED. COORD,=85.76 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          
  1.95890E-01 7.20147E-01 3.16317E+02 8.49911E+01 4.65429E+01 3.26843E+02 6.53315E+01 9.22938E+01 3.33206E+02 3.46713E+02
  8.54601E+01 8.11141E+02 1.94882E+02 3.52489E+02 5.75543E+02 6.22704E+02 5.21679E+02 6.40787E+02 6.36472E+02
0LAMBDA: 1.000E-03                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  3.3996E+02



                                   ITERATION NO.   6
0DETERMINANT:  3.7191E-19
0ANGLE IN SCALED. COORD,=83.45 DEGREES
0DETERMINANT:  2.5313E-17
0ANGLE IN SCALED. COORD,=82.57 DEGREES
0DETERMINANT:  7.6648E-14
0ANGLE IN SCALED. COORD,=80.87 DEGREES
0DETERMINANT:  7.7483E-08
0ANGLE IN SCALED. COORD,=73.29 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          
  1.95889E-01 7.20147E-01 3.16318E+02 8.49909E+01 4.65435E+01 3.26844E+02 6.53313E+01 9.22943E+01 3.33207E+02 3.46716E+02
  8.54589E+01 8.11138E+02 1.94884E+02 3.52489E+02 5.75543E+02 6.22704E+02 5.21679E+02 6.40787E+02 6.36472E+02
0LAMBDA: 1.000E-01                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  3.3996E+02



                                   ITERATION NO.   7
0DETERMINANT:  7.6648E-14
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0ANGLE IN SCALED. COORD,=25.38 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          
  1.95889E-01 7.20147E-01 3.16318E+02 8.49909E+01 4.65435E+01 3.26844E+02 6.53313E+01 9.22943E+01 3.33207E+02 3.46716E+02
  8.54589E+01 8.11138E+02 1.94884E+02 3.52489E+02 5.75543E+02 6.22704E+02 5.21679E+02 6.40787E+02 6.36472E+02
0LAMBDA: 1.000E-02                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  3.3996E+02
0ITERATION STOPS - RELATIVE CHANGE IN EACH COEFFICIENT LESS THAN:  1.0000E-06
0CORRELATION MATRIX
0DETERMINANT:  2.9753E-10
        1          2          3          4          5          6          7          8          9         10     
    11         12         13         14         15         16         17         18         19         
  1   1.0000    
  2   0.3076     1.0000    
  3   0.4897     0.9797     1.0000    
  4  -0.4649    -0.4374    -0.5048     1.0000    
  5   0.1662    -0.0414    -0.0038     0.0101     1.0000    
  6   0.0976    -0.0949    -0.0672     0.2418     0.7787     1.0000    
  7  -0.2336     0.1226     0.0615     0.2794    -0.3376     0.1898     1.0000    
  8  -0.0786     0.1086     0.0783    -0.1329     0.7563     0.2996    -0.5382     1.0000    
  9   0.1909    -0.0184     0.0222     0.0283     0.9345     0.8960    -0.1089     0.5940     1.0000    
 10   0.1276    -0.0577    -0.0266     0.2791     0.7586     0.9938     0.2041     0.2653     0.8788     1.0000  
 11   0.3356     0.1196     0.1802     0.2996     0.0727     0.4665     0.6239    -0.3582     0.2886     0.5094  
   1.0000    
 12   0.1539    -0.0399    -0.0048     0.1223     0.7727     0.9754     0.1495     0.3304     0.9156     0.9608  
   0.4401     1.0000    
 13   0.0989    -0.0469    -0.0235     0.0052     0.9801     0.6908    -0.4717     0.8196     0.8775     0.6676  
  -0.0819     0.6892     1.0000    
 14   0.1448    -0.0384    -0.0052     0.2403     0.6954     0.9793     0.3299     0.1764     0.8327     0.9816  
   0.5766     0.9379     0.5821     1.0000    
 15   0.0355    -0.0488    -0.0389    -0.1597     0.0128     0.0218    -0.0157    -0.0006     0.0125     0.0119  
   0.0038     0.0119     0.0090     0.0119     1.0000    
 16   0.0266     0.0488     0.0486    -0.0164     0.0465     0.0027     0.0656     0.0827     0.0052     0.0040  
   0.0067     0.0051     0.0053     0.0037     0.0329     1.0000    
 17  -0.0419    -0.1010    -0.1016     0.1389     0.0028    -0.0118     0.0171     0.0035    -0.0013     0.0018  
  -0.0231    -0.0016     0.0072    -0.0033    -0.5033    -0.0334     1.0000    
 18  -0.0336     0.0588     0.0458     0.0029    -0.0443    -0.0048    -0.0559    -0.0167    -0.0124    -0.0110  
  -0.0005    -0.0104    -0.0141    -0.0081    -0.0057    -0.6649    -0.3806     1.0000    
 19   0.0420     0.0261     0.0327    -0.0201    -0.0171     0.0004    -0.0238    -0.1440     0.0052     0.0011  
   0.0153     0.0025     0.0003     0.0029    -0.0355    -0.4840    -0.0455     0.1980     1.0000    
1                            NONLINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 CEMENT HEAT, PASS 10  DEP.VAR.: MIN Y = 4.997E+02  MAX Y =  6.334E+02  RANGE Y =  1.337E+02

                   Z   =  H + (G - 1)D' + ( A' / ( T + F' )EXP B  )                        
                   Z   =  ACID HEAT OF SOLUTION AT TIME "T"                                
                          B, G AND H ARE COMMON TO ALL CEMENTS                             
                   A'  =  A1X1 - A2X2 + A3X3 + A4X4 + A5X5 + A12X1X2 - A13X1X3 - A14X1X4   
                        - A23X2X3 + A24X2X4 - A34X3X4                                      
                   D'  =  D1X1 + D2X2 + D3X3 + D4X4 + D5X5                                 
                   F'  = TIME CORRECTION TERM = ( A' / (GD' - H) )EXP(1/B)                 
                      X1  =  (MOL PERCENT SILICA IN THE CLINKER - 20.9) / 7.43             
                      X2  =  (MOL PERCENT ALUMINA - 2.03) / 7.43                           
                      X3  =  (MOL PERCENT FERRIC OXIDE - 0.44) / 7.43                      
                      X4  =  (MOL PERCENT LIME - 66.1) / 7.43                              
                      X5  =  (MOL PERCENT MAGNESIA - 3.10) / 7.43 ; OBSV. 85-3-2 OMITTED.  
0                                                              95% CONFIDENCE LIMITS
 IND.VAR(I)   NAME     COEF.B(I)      S.E. COEF     T-VALUE    LOWER            UPPER
      1       B       1.95889E-01      2.81E-02       7.0      1.40E-01      2.52E-01
      2       G       7.20147E-01      3.39E-02      21.2      6.52E-01      7.88E-01
      3       H       3.16318E+02      2.23E+01      14.2      2.72E+02      3.61E+02
      4       A1      8.49909E+01      4.80E+00      17.7      7.54E+01      9.46E+01
      5       A2      4.65435E+01      6.42E+01       0.7     -8.19E+01      1.75E+02
      6       A3      3.26844E+02      1.26E+02       2.6      7.50E+01      5.79E+02
      7       A4      6.53313E+01      1.10E+01       5.9      4.33E+01      8.73E+01
      8       A5      9.22943E+01      1.03E+01       9.0      7.17E+01      1.13E+02
      9       A12     3.33207E+02      1.23E+02       2.7      8.77E+01      5.79E+02
     10       A13     3.46716E+02      1.71E+02       2.0      5.37E+00      6.88E+02
     11       A14     8.54589E+01      2.07E+01       4.1      4.41E+01      1.27E+02
     12       A23     8.11138E+02      3.52E+02       2.3      1.08E+02      1.51E+03
     13       A24     1.94884E+02      1.31E+02       1.5     -6.73E+01      4.57E+02
     14       A34     3.52489E+02      1.62E+02       2.2      2.86E+01      6.76E+02
     15       D1      5.75543E+02      1.62E+00     356.4      5.72E+02      5.79E+02
     16       D2      6.22704E+02      5.47E+00     113.8      6.12E+02      6.34E+02
     17       D3      5.21679E+02      4.22E+00     123.6      5.13E+02      5.30E+02
     18       D4      6.40787E+02      2.08E+00     308.8      6.37E+02      6.45E+02
     19       D5      6.36472E+02      2.94E+00     216.3      6.31E+02      6.42E+02
0NO. OF OBSERVATIONS             104
 NO. OF COEFFICIENTS              19
 RESIDUAL DEGREES OF FREEDOM      85
 RESIDUAL ROOT MEAN SQUARE         1.99988029
 RESIDUAL MEAN SQUARE              3.99952118
 RESIDUAL SUM OF SQUARES         339.95930046
0---------ORDERED BY COMPUTER INPUT----------          ----------------ORDERED BY RESIDUALS-----------------
 OBS. NO.    OBS. Y     FITTED Y     RESIDUAL          OBS. NO.    OBS. Y     FITTED Y  ORDERED RESID.  SEQ.
  22 0      588.700      585.463        3.237           22 7      535.600      530.920        4.680      1
  22 3      537.500      539.714       -2.214           8890      517.800      513.630        4.170      2
  22 7      535.600      530.920        4.680           2536      502.800      499.023        3.777      3
  2228      516.200      518.988       -2.788           23 7      530.000      526.293        3.707      4
  2290      507.500      511.075       -3.575           22 0      588.700      585.463        3.237      5
  2218      510.200      507.155        3.045           2218      510.200      507.155        3.045      6
  2236      503.200      503.666       -0.466           89 3      534.300      531.466        2.834      7
  23 0      575.700      575.275        0.425           2590      507.800      505.154        2.646      8
  23 3      535.100      534.707        0.393           7036      502.100      499.554        2.546      9
  23 7      530.000      526.293        3.707           25 0      585.900      583.411        2.489     10
  2328      514.700      514.806       -0.106           9228      531.400      529.151        2.249     11
  2390      503.800      507.170       -3.370           2436      501.400      499.160        2.240     12
  2318      501.400      503.384       -1.984           9590      518.100      515.864        2.236     13
  2336      499.700      500.015       -0.315           9690      511.900      509.853        2.047     14
  92 0      623.600      624.187       -0.587           24 7      526.200      524.247        1.953     15
  92 0      624.100      624.187       -0.087           9618      508.600      506.769        1.831     16
  92 3      548.800      549.931       -1.131           95 3      540.800      538.998        1.802     17
  92 7      538.900      541.006       -2.106           9218      519.300      517.504        1.796     18
  9228      531.400      529.151        2.249           9428      517.600      515.811        1.789     19
  9290      523.000      521.358        1.642           9290      523.000      521.358        1.642     20
  9218      519.300      517.504        1.796           9018      517.500      515.926        1.574     21
  9236      513.200      514.077       -0.877           25 7      523.100      521.675        1.425     22
  88 0      595.500      598.129       -2.629           94 3      532.700      531.417        1.283     23
  88 3      542.300      541.621        0.679           9118      514.600      513.326        1.274     24
  88 7      532.400      532.936       -0.536           9190      517.800      516.568        1.232     25
  8828      521.800      521.303        0.497           89 0      599.000      597.782        1.218     26
  8890      517.800      513.630        4.170           8590      515.100      513.930        1.170     27
  8818      507.900      509.833       -1.933           8518      511.800      510.800        1.000     28
  8836      504.900      506.456       -1.556           8536      509.000      508.016        0.984     29
  96 0      604.500      604.740       -0.240           85 3      538.200      537.221        0.979     30
  96 0      603.200      604.740       -1.540           9128      524.100      523.130        0.970     31
  96 3      532.600      532.782       -0.182           90 0      633.400      632.467        0.933     32
  96 7      525.700      525.600        0.100           90 7      536.800      536.008        0.792     33
  9628      515.700      516.094       -0.394           8918      505.900      505.118        0.782     34
  9690      511.900      509.853        2.047           85 0      618.800      618.019        0.781     35
  9618      508.600      506.769        1.831           94 0      611.700      610.995        0.705     36
  9636      501.000      504.026       -3.026           88 3      542.300      541.621        0.679     37
  85 0      618.800      618.019        0.781           8990      508.900      508.245        0.655     38
  85 3      538.200      537.221        0.979           8828      521.800      521.303        0.497     39
  85 7      528.500      529.917       -1.417           8536      508.500      508.016        0.484     40
  85 7      530.200      529.917        0.283           23 0      575.700      575.275        0.425     41
  8528      517.800      520.264       -2.464           23 3      535.100      534.707        0.393     42
  8528      517.100      520.264       -3.164           8590      514.300      513.930        0.370     43
  8590      515.100      513.930        1.170           85 7      530.200      529.917        0.283     44
  8590      514.300      513.930        0.370           70 7      528.400      528.175        0.225     45
  8518      509.600      510.800       -1.200           90 3      543.900      543.684        0.216     46
  8518      511.800      510.800        1.000           9536      510.200      509.993        0.207     47
  8536      509.000      508.016        0.984           9418      507.300      507.106        0.194     48
  8536      508.500      508.016        0.484           2518      502.100      501.909        0.191     49
  94 0      610.000      610.995       -0.995           96 7      525.700      525.600        0.100     50
  94 0      611.700      610.995        0.705           9090      519.300      519.213        0.087     51
  94 3      532.700      531.417        1.283           95 0      625.600      625.576        0.024     52
  94 7      522.500      524.693       -2.193           2528      511.700      511.713       -0.013     53
  9428      517.600      515.811        1.789           92 0      624.100      624.187       -0.087     54
  9490      509.500      509.985       -0.485           2328      514.700      514.806       -0.106     55
  9418      507.300      507.106        0.194           96 3      532.600      532.782       -0.182     56
  9436      502.000      504.546       -2.546           96 0      604.500      604.740       -0.240     57
  24 0      573.000      576.096       -3.096           9528      521.900      522.153       -0.253     58
  24 3      530.900      532.367       -1.467           91 0      624.000      624.281       -0.281     59
  24 7      526.200      524.247        1.953           2336      499.700      500.015       -0.315     60
  2428      511.500      513.256       -1.756           70 0      564.700      565.030       -0.330     61
  2490      503.000      505.975       -2.975           8936      502.000      502.336       -0.336     62
  2418      500.500      502.369       -1.869           70 3      536.400      536.785       -0.385     63
  2436      501.400      499.160        2.240           9628      515.700      516.094       -0.394     64
  89 0      599.000      597.782        1.218           91 7      532.700      533.130       -0.430     65
  89 3      534.300      531.466        2.834           9518      512.300      512.757       -0.457     66
  89 7      521.100      524.201       -3.101           2236      503.200      503.666       -0.466     67
  8928      513.200      514.571       -1.371           9490      509.500      509.985       -0.485     68
  8990      508.900      508.245        0.655           88 7      532.400      532.936       -0.536     69
  8918      505.900      505.118        0.782           92 0      623.600      624.187       -0.587     70
  8936      502.000      502.336       -0.336           95 7      531.100      531.739       -0.639     71
  90 0      633.400      632.467        0.933           91 3      540.000      540.696       -0.696     72
  90 3      543.900      543.684        0.216           9236      513.200      514.077       -0.877     73
  90 7      536.800      536.008        0.792           7028      514.900      515.829       -0.929     74
  9028      524.600      525.866       -1.266           94 0      610.000      610.995       -0.995     75
  9090      519.300      519.213        0.087           92 3      548.800      549.931       -1.131     76
  9018      517.500      515.926        1.574           8518      509.600      510.800       -1.200     77
  9036      510.700      513.002       -2.302           9028      524.600      525.866       -1.266     78
  25 0      585.900      583.411        2.489           8928      513.200      514.571       -1.371     79
  25 3      527.100      529.146       -2.046           85 7      528.500      529.917       -1.417     80
  25 7      523.100      521.675        1.425           24 3      530.900      532.367       -1.467     81
  2528      511.700      511.713       -0.013           96 0      603.200      604.740       -1.540     82
  2590      507.800      505.154        2.646           8836      504.900      506.456       -1.556     83
  2518      502.100      501.909        0.191           2428      511.500      513.256       -1.756     84
  2536      502.800      499.023        3.777           2418      500.500      502.369       -1.869     85
  95 0      625.600      625.576        0.024           8818      507.900      509.833       -1.933     86
  95 3      540.800      538.998        1.802           2318      501.400      503.384       -1.984     87
  95 7      531.100      531.739       -0.639           25 3      527.100      529.146       -2.046     88
  9528      521.900      522.153       -0.253           92 7      538.900      541.006       -2.106     89
  9590      518.100      515.864        2.236           94 7      522.500      524.693       -2.193     90
  9518      512.300      512.757       -0.457           22 3      537.500      539.714       -2.214     91
  9536      510.200      509.993        0.207           9036      510.700      513.002       -2.302     92
  91 0      624.000      624.281       -0.281           8528      517.800      520.264       -2.464     93
  91 3      540.000      540.696       -0.696           9436      502.000      504.546       -2.546     94
  91 7      532.700      533.130       -0.430           88 0      595.500      598.129       -2.629     95
  9128      524.100      523.130        0.970           9136      507.700      510.442       -2.742     96
  9190      517.800      516.568        1.232           2228      516.200      518.988       -2.788     97
  9118      514.600      513.326        1.274           2490      503.000      505.975       -2.975     98
  9136      507.700      510.442       -2.742           9636      501.000      504.026       -3.026     99
  70 0      564.700      565.030       -0.330           24 0      573.000      576.096       -3.096    100
  70 3      536.400      536.785       -0.385           89 7      521.100      524.201       -3.101    101
  70 7      528.400      528.175        0.225           8528      517.100      520.264       -3.164    102
  7028      514.900      515.829       -0.929           2390      503.800      507.170       -3.370    103
  7036      502.100      499.554        2.546           2290      507.500      511.075       -3.575    104
1 CEMENT HEAT, PASS 10                                 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             I                                                  '++                                               I
      L           0 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 CEMENT HEAT, PASS 10                                       RESIDUAL VS. FITTED Y
                 499.023                                           565.745                                           632.467
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             I +   + +            + +         +                                                                   I
      L           0 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
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                 499.023                                           565.745                                           632.467
                                                                   FITTED Y
1 CEMENT HEAT, PASS 10                              RESIDUALS VS. INDEPENDENT VARIABLE  1
                   0.000                  91.250                   182.500                 273.750                   365.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             I+     +                                         +                                                  +I
      S             I+                                                                                                   I
      I             I+                      +                        +                                                   I
      D             I      +                                                                                            +I
      U             I+                      +                                                                            I
      A             I+                                               +                                                  +I
      L           0 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                  91.250                   182.500                 273.750                   365.000
0                                                          INDEPENDENT VARIABLE 1
1 CEMENT HEAT, PASS 10                              RESIDUALS VS. INDEPENDENT VARIABLE  2
                  20.954                  22.375                    23.796                  25.216                    26.637
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             I+               +              +                                                        +           I
      L           0 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
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                  20.954                  22.375                    23.796                  25.216                    26.637
0                                                          INDEPENDENT VARIABLE 2
1 CEMENT HEAT, PASS 10                              RESIDUALS VS. INDEPENDENT VARIABLE  3
                   2.030                   2.791                     3.553                   4.314                     5.076
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             I             +        +       +                 + +                                                +I
      L           0 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
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                   2.030                   2.791                     3.553                   4.314                     5.076
0                                                          INDEPENDENT VARIABLE 3
1 CEMENT HEAT, PASS 10                              RESIDUALS VS. INDEPENDENT VARIABLE  4
                   0.438                   1.039                     1.640                   2.241                     2.842
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             I+                       + +                                            +     +                     +I
      L           0 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
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                   0.438                   1.039                     1.640                   2.241                     2.842
0                                                          INDEPENDENT VARIABLE 4
1 CEMENT HEAT, PASS 10                              RESIDUALS VS. INDEPENDENT VARIABLE  5
                  66.105                  67.340                    68.575                  69.810                    71.045
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             I+                                     +                                   + +              +       +I
      L           0 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
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                  66.105                  67.340                    68.575                  69.810                    71.045
0                                                          INDEPENDENT VARIABLE 5
1 CEMENT HEAT, PASS 10                              RESIDUALS VS. INDEPENDENT VARIABLE  6
                   3.102                   4.141                     5.180                   6.219                     7.258
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             I+    +   +    +                                                                                     I
      L           0 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
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                   3.102                   4.141                     5.180                   6.219                     7.258
0                                                          INDEPENDENT VARIABLE 6
1END OF PROBLEM    CEMENT HEAT, PASS 10
1                                          NONLINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 1980 VERSION OF THE NONLINWOOD 15 VARIABLE, 43 COEFFICIENT, 170 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.

0CEMENT HEAT, PASS 1 

0                         CONTROL CARD INFORMATION                                       ORDER OF CARDS

 COL.  INPUT  MAX ITEM   (NOTE: BLANK ON CARD = 0)                    FIRST PROBLEM
  1-20            IDENTIFICATION OF PROBLEM.                          1  CONTROL CARD.
    21  0         0  OBSERVATIONS READ FROM CARDS OR FILE.            2  FORMAT CARD (72 COLUMNS, ORDER: IDENT, Y, X(I)'S),
                  1  REUSE DATA FROM PREVIOUS PROBLEM.                    E.G. (A6, F6.0, (NOIND*F6.0) ).
 23-24 43      43 NUMBER OF COEFFICIENTS TO BE ESTIMATED.             3  DELETE-OBSERVATIONS CARD(S), IF ANY.
 25-26  0         FILE NUMBER IF DATA ARE TO BE READ FROM A           4  STARTING VALUES (GUESSES) OF COEFFICIENTS 
                   SEPARATE FILE.  NO END CARD(S) IF ONLY ONE             (10 COLUMNS / COEFFICIENT, 7 COEFFICIENTS / CARD).
                   SET OF DATA IS ON EACH FILE.                       5  INFORMATION CARDS FOR PRINTOUT, IF ANY.
 27-28 15      15 NUMBER OF INDEPENDENT VARIABLES TO BE READ IN.      6  NAMES OF COEFFICIENTS CARD(S) FOR PRINTOUT, IF ANY.
 31-32  2         NUMBER OF EQUATION TO BE USED.                      7  DATA CARDS (IF NOT READ FROM A FILE).
                                                                      8  END CARD (END IN COLUMNS 1 - 3 OF IDENTIFICATION
 33-36  0.000     STARTING VALUE FOR LAMBDA, F4.2, (E.G. 0.1),            FIELD).  THE NUMBER OF END CARDS MUST EQUAL THE
                   USED AS A MULTIPLIER TO SCALE THE SPACE OR             NUMBER OF CARDS PER OBSERVATION.  (END CARDS
                   SIZE OF STEPS TAKEN.                                   ARE NOT NEEDED IF DATA ARE READ FROM A FILE).
 37-40  0.000     VALUE OF NU, F4.0, (E.G. 10.).
                   DIVISOR AND MULTIPLIER TO CHANGE SIZE OF           SECOND PROBLEM
                   LAMBDA DEPENDING ON WHETHER SUM OF SQUARES OF         IF DATA ARE REUSED FROM FIRST PROBLEM,
                   ITERATION IS NEAR OR FAR FROM MINIMUM.                   DELETE THE FORMAT, DATA AND END CARDS.
 43-44  0         MAXIMUM NUMBER OF ITERATIONS, I2, (E.G. 20).           IF DIFFERENT DATA,
 45-48  0.000     MULTIPLIER USED TO INCREMENT VALUE OF                     REPEAT 1 - 8 ABOVE.
                   COEFFICIENTS, F4.3 (E.G. 0.01).

                  NOTE: IF VALUES IN COLUMNS 33-48 ARE NOT DEFINED
                        ON THE CONTROL CARD.  THEIR LEVEL WILL BE
                        SET AUTOMATICALLY TO THE ABOVE E.G. VALUES.

                  CRITERIA FOR ENDING CONVERGING ITERATIONS.
 49-56  0.0E+00   SUM OF SQUARES CRITERION, F8.7,
                   (E.G. 0.0001, A CHANGE OF LESS THAN 0.0001 IN
                   THE RESIDUAL SUM OF SQUARES).
 57-64  1.0E-06   RATIO OF COEFFICIENTS CRITERION, F8.7,
                   (E.G. 0.001, A CHANGE OF LESS THAN 0.001 IN
                   THE RATIOS OF ALL COMPARABLE COEFFICIENTS).

                  NOTE: VALUES IN COLUMNS 49-64 CAN BE SET AT 0.0
                        IF CONTROL OF EITHER OR BOTH IS NOT DESIRED.

 65-66  8      12 NUMBER OF INFORMATION CARDS TO BE READ FOR DISPLAY
                   ON PRINTOUT IF DESIRED, 72 COLUMNS EACH.
    68  1         1  READ NAMES OF COEFFICIENTS FROM CARDS FOR
                     DISPLAY ON PRINTOUT, 1ST 6 OF 10 COLUMNS /
                     COEFFICIENT,  7 / CARD.
    69  3         3  PLOT RESIDUALS VS. EACH INDEPENDENT VARIABLE.
    70  0       2 NUMBER OF DELETE-OBSERVATIONS CARDS, OBSERVATION
                   IDENTIFICATION IN 1ST 6 OF 10 COLUMNS, 7 / CARD.
0                SUBROUTINE ARGUMENTS AND DIMENSIONS
 SUBROUTINE MODEL2 (NPROB, B, FY, NOB, NC, X, NVARX, NOBMAX, NCMAX, KTOU)
 DIMENSION  B(NCMAX), FY(NOBMAX), X(NVARX,NOBMAX)


 Z =  D - C + (  A / ( T + F )EXP B  )                                   
 Z = ACID HEAT OF SOLUTION                                               
 A = CONSTANT = B(16)*X(2) + B(17)*X(3)+---+B(29)*X(15)                  
 B = EXPONENT OR RATE OF HARDENING = B(1)                                
 C = ULTIMATE CUMULATIVE HEAT OF HARDENING = B(30)*X(2)+---+B(43)*X(15)  
 D = INITIAL ACID HEAT OF SOLUTION         = B( 2)*X(2)+---+B(15)*X(15)  
 F = TIME CORRECTION FACTOR = (A/C)EXP(1/B)                              
 T = TIME IN DAYS = X(1)                                                 
0DATA FORMAT ( 6X, A4, 2X, 2F6.1, 6X, 14F1.0 )                                       

 OBSV. NO.  IDENT.  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     22 0      1    588.700      0.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
      2     22 3      1    537.500      3.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
      3     22 7      1    535.600      7.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
      4     2228      1    516.200     28.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
      5     2290      1    507.500     90.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
      6     2218      1    510.200    180.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
      7     2236      1    503.200    365.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
      8     23 0      1    575.700      0.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
      9     23 3      1    535.100      3.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     10     23 7      1    530.000      7.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     11     2328      1    514.700     28.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     12     2390      1    503.800     90.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     13     2318      1    501.400    180.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     14     2336      1    499.700    365.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     15     92 0      1    623.400      0.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     16     92 0      1    624.100      0.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     17     92 3      1    548.800      3.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     18     92 7      1    538.900      7.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     19     9228      1    531.400     28.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     20     9290      1    523.000     90.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     21     9218      1    519.300    180.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     22     9236      1    513.200    365.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     23     88 0      1    595.500      0.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     24     88 3      1    542.300      3.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     25     88 7      1    532.400      7.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     26     8828      1    521.800     28.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     27     8890      1    517.800     90.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     28     8818      1    507.900    180.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     29     8836      1    504.900    365.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     30     96 0      1    604.500      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     31     96 0      1    603.200      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     32     96 3      1    532.600      3.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     33     96 7      1    525.700      7.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     34     9628      1    515.700     28.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     35     9690      1    511.900     90.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     36     9618      1    508.600    180.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     37     9636      1    501.000    365.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     38     85 0      1    618.800      0.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     39     85 3      1    544.800      3.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     40     85 3      1    538.200      3.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     41     85 7      1    528.500      7.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     42     85 7      1    530.200      7.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     43     8528      1    517.800     28.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     44     8528      1    517.100     28.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     45     8590      1    515.100     90.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     46     8590      1    514.300     90.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     47     8518      1    509.600    180.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     48     8518      1    511.800    180.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     49     8536      1    509.000    365.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     50     8536      1    508.500    365.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     51     94 0      1    610.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     52     94 0      1    611.700      0.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     53     94 3      1    532.700      3.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     54     94 7      1    522.500      7.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     55     9428      1    517.600     28.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     56     9490      1    509.500     90.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     57     9418      1    507.300    180.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     58     9436      1    502.000    365.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     59     24 0      1    573.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     60     24 3      1    530.900      3.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     61     24 7      1    526.200      7.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     62     2428      1    511.500     28.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     63     2490      1    503.000     90.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     64     2418      1    500.500    180.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     65     2436      1    501.400    365.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      1.000
                      2      0.000      0.000      0.000      0.000      0.000      0.000
     66     89 0      1    599.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      1.000      0.000      0.000      0.000      0.000      0.000
     67     89 3      1    534.300      3.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      1.000      0.000      0.000      0.000      0.000      0.000
     68     89 7      1    521.100      7.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      1.000      0.000      0.000      0.000      0.000      0.000
     69     8928      1    513.200     28.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      1.000      0.000      0.000      0.000      0.000      0.000
     70     8990      1    508.900     90.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      1.000      0.000      0.000      0.000      0.000      0.000
     71     8918      1    505.900    180.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      1.000      0.000      0.000      0.000      0.000      0.000
     72     8936      1    502.000    365.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      1.000      0.000      0.000      0.000      0.000      0.000
     73     90 0      1    633.400      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      1.000      0.000      0.000      0.000      0.000
     74     90 3      1    543.900      3.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      1.000      0.000      0.000      0.000      0.000
     75     90 7      1    536.800      7.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      1.000      0.000      0.000      0.000      0.000
     76     9028      1    524.600     28.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      1.000      0.000      0.000      0.000      0.000
     77     9090      1    519.300     90.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      1.000      0.000      0.000      0.000      0.000
     78     9018      1    517.500    180.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      1.000      0.000      0.000      0.000      0.000
     79     9036      1    510.700    365.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      1.000      0.000      0.000      0.000      0.000
     80     25 0      1    585.900      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      1.000      0.000      0.000      0.000
     81     25 3      1    527.100      3.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      1.000      0.000      0.000      0.000
     82     25 7      1    523.100      7.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      1.000      0.000      0.000      0.000
     83     2528      1    511.700     28.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      1.000      0.000      0.000      0.000
     84     2590      1    507.800     90.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      1.000      0.000      0.000      0.000
     85     2518      1    502.100    180.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      1.000      0.000      0.000      0.000
     86     2536      1    502.800    365.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      1.000      0.000      0.000      0.000
     87     95 0      1    625.600      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      1.000      0.000      0.000
     88     95 3      1    540.800      3.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      1.000      0.000      0.000
     89     95 7      1    531.100      7.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      1.000      0.000      0.000
     90     9528      1    521.900     28.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      1.000      0.000      0.000
     91     9590      1    518.100     90.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      1.000      0.000      0.000
     92     9518      1    512.300    180.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      1.000      0.000      0.000
     93     9536      1    510.200    365.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      1.000      0.000      0.000
     94     91 0      1    624.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      1.000      0.000
     95     91 3      1    540.000      3.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      1.000      0.000
     96     91 7      1    532.700      7.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      1.000      0.000
     97     9128      1    524.100     28.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      1.000      0.000
     98     9190      1    517.800     90.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      1.000      0.000
     99     9118      1    514.600    180.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      1.000      0.000
    100     9136      1    507.700    365.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      1.000      0.000
    101     70 0      1    564.700      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      1.000
    102     70 3      1    536.400      3.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      1.000
    103     70 7      1    528.400      7.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      1.000
    104     7028      1    514.900     28.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      1.000
    105     7036      1    502.100    365.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000      0.000
                      2      0.000      0.000      0.000      0.000      0.000      1.000
1NONLINEAR ESTIMATION,         CEMENT HEAT, PASS 1 
 NUMBER OF OBSERVATIONS  105
 NUMBER OF COEFFICIENTS   43
 STARTING LAMBDA           0.100
 STARTING NU              10.000
 MAX NO. OF ITERATIONS    20


0INITIAL VALUES OF THE COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          20      
    21          22          23          24          25          26          27          28          29          30      
    31          32          33          34          35          36          37          38          39          40      
    41          42          43          
0 8.00000E-01 5.89000E+02 5.76000E+02 6.24000E+02 5.95000E+02 6.04000E+02 6.20000E+02 6.11000E+02 5.73000E+02 4.99000E+02
0 6.33000E+02 5.86000E+02 6.26000E+02 6.24000E+02 5.65000E+02 8.00000E+01 8.00000E+01 8.00000E+01 8.00000E+01 8.00000E+01
0 8.00000E+01 8.00000E+01 8.00000E+01 8.00000E+01 8.00000E+01 8.00000E+01 8.00000E+01 8.00000E+01 8.00000E+01 1.00000E+02
0 1.00000E+02 1.00000E+02 1.00000E+02 1.00000E+02 1.00000E+02 1.00000E+02 1.00000E+02 1.00000E+02 1.00000E+02 1.00000E+02
0 1.00000E+02 1.00000E+02 1.00000E+02
0PROPORTIONS USED IN CALCULATING DIFFERENCE QUOTIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          20      
    21          22          23          24          25          26          27          28          29          30      
    31          32          33          34          35          36          37          38          39          40      
    41          42          43          
0 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02
0 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02
0 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02
0 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02 1.00000E-02
0 1.00000E-02 1.00000E-02 1.00000E-02
0INITIAL SUM OF SQUARES:  1.0783E+05



                                   ITERATION NO.   1
0EIGENVALUES OF MOMENT MATRIX - PRELIMINARY ANALYSIS
0 4.41263E+04 4.49824E-01 1.24358E+01 1.28691E+01 1.24358E+01 1.30018E+01 2.30478E+01 1.30018E+01 1.24358E+01 1.24358E+01
0 1.24358E+01 1.24358E+01 1.24358E+01 1.24358E+01 8.91015E+00 6.00715E-02 2.91194E-03 6.00746E-02 6.00726E-02 6.00888E-02
0 1.11803E-01 6.00911E-02 6.00765E-02 6.00741E-02 6.00711E-02 6.00724E-02 6.00725E-02 6.00711E-02 4.45736E-02 4.75799E-01
0 4.73200E+00 4.86253E-01 4.75799E-01 9.09737E-01 8.82799E-01 9.09737E-01 4.75799E-01 4.75799E-01 4.75799E-01 4.75799E-01
0 4.75799E-01 4.75799E-01 4.67284E-01
0DETERMINANT:  2.0826E-16
0ANGLE IN SCALED. COORD,=48.14 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          20      
    21          22          23          24          25          26          27          28          29          30      
    31          32          33          34          35          36          37          38          39          40      
    41          42          43          
  3.03273E-01 5.89363E+02 5.76778E+02 6.23519E+02 5.95977E+02 6.03829E+02 6.17877E+02 6.10644E+02 5.74201E+02 5.92007E+02
  6.32260E+02 5.86605E+02 6.24818E+02 6.23257E+02 5.65910E+02 5.12947E+01 6.01674E+01 3.28658E+01 4.69765E+01 2.00740E+01
  3.11015E+01 1.62645E+01 4.42853E+01 2.82367E+01 2.53804E+01 1.64464E+01 2.00542E+01 2.00947E+01 5.41061E+01 8.61986E+01
  7.87766E+01 1.07692E+02 8.95731E+01 1.00023E+02 1.10546E+02 1.07071E+02 7.65711E+01 9.16747E+01 1.19257E+02 8.60478E+01
  1.14411E+02 1.12449E+02 6.59979E+01
0LAMBDA: 1.000E-02                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  4.1912E+03



                                   ITERATION NO.   2
0DETERMINANT:  2.1463E-23
0ANGLE IN SCALED. COORD,=70.20 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          20      
    21          22          23          24          25          26          27          28          29          30      
    31          32          33          34          35          36          37          38          39          40      
    41          42          43          
  2.24805E-01 5.88607E+02 5.75579E+02 6.23709E+02 5.95422E+02 6.03822E+02 6.18637E+02 6.10820E+02 5.72946E+02 5.98791E+02
  6.33307E+02 5.85871E+02 6.25523E+02 6.23923E+02 5.64688E+02 6.86988E+01 7.43500E+01 6.09529E+01 6.70380E+01 5.23682E+01
  5.84061E+01 5.10950E+01 6.30358E+01 5.45151E+01 5.76934E+01 4.78435E+01 5.37183E+01 5.43678E+01 6.83827E+01 1.00098E+02
  9.39526E+01 1.20262E+02 1.03184E+02 1.09336E+02 1.22791E+02 1.16209E+02 8.78670E+01 1.07425E+02 1.31694E+02 9.28799E+01
  1.25064E+02 1.23294E+02 7.85103E+01
0LAMBDA: 1.000E-03                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  1.1431E+03



                                   ITERATION NO.   3
0DETERMINANT:  7.4479E-27
0ANGLE IN SCALED. COORD,=71.79 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          20      
    21          22          23          24          25          26          27          28          29          30      
    31          32          33          34          35          36          37          38          39          40      
    41          42          43          
  2.22651E-01 5.88671E+02 5.75649E+02 6.23747E+02 5.95486E+02 6.03847E+02 6.18805E+02 6.10848E+02 5.72990E+02 5.99003E+02
  6.33395E+02 5.85894E+02 6.25597E+02 6.23994E+02 5.64728E+02 7.22584E+01 7.78234E+01 6.51497E+01 7.09478E+01 5.64363E+01
  6.17583E+01 5.50910E+01 6.63870E+01 5.78213E+01 6.17909E+01 5.15888E+01 5.75776E+01 5.86445E+01 7.12764E+01 1.04496E+02
  9.81960E+01 1.25588E+02 1.07910E+02 1.14735E+02 1.27743E+02 1.21755E+02 9.21191E+01 1.12234E+02 1.37292E+02 9.79508E+01
  1.30557E+02 1.29040E+02 8.23193E+01
0LAMBDA: 1.000E-04                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  2.9969E+02



                                   ITERATION NO.   4
0DETERMINANT:  5.2100E-27
0ANGLE IN SCALED. COORD,=86.61 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          20      
    21          22          23          24          25          26          27          28          29          30      
    31          32          33          34          35          36          37          38          39          40      
    41          42          43          
  2.20181E-01 5.88674E+02 5.75653E+02 6.23748E+02 5.95490E+02 6.03849E+02 6.18814E+02 6.10850E+02 5.72993E+02 5.99009E+02
  6.33399E+02 5.85897E+02 6.25601E+02 6.23998E+02 5.64729E+02 7.25218E+01 7.80661E+01 6.54389E+01 7.12270E+01 5.66965E+01
  6.20043E+01 5.53444E+01 6.66148E+01 5.80536E+01 6.20679E+01 5.18192E+01 5.78323E+01 5.89206E+01 7.14595E+01 1.04922E+02
  9.86361E+01 1.26005E+02 1.08341E+02 1.15108E+02 1.28129E+02 1.22121E+02 9.25079E+01 1.12596E+02 1.37694E+02 9.82908E+01
  1.30934E+02 1.29432E+02 8.27028E+01
0LAMBDA: 1.000E-05                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  2.9948E+02



                                   ITERATION NO.   5
0DETERMINANT:  3.9023E-27
0ANGLE IN SCALED. COORD,=86.18 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          20      
    21          22          23          24          25          26          27          28          29          30      
    31          32          33          34          35          36          37          38          39          40      
    41          42          43          
  2.20000E-01 5.88675E+02 5.75654E+02 6.23748E+02 5.95490E+02 6.03849E+02 6.18813E+02 6.10850E+02 5.72993E+02 5.99008E+02
  6.33399E+02 5.85897E+02 6.25601E+02 6.23998E+02 5.64729E+02 7.25432E+01 7.80865E+01 6.54706E+01 7.12582E+01 5.67244E+01
  6.20172E+01 5.53699E+01 6.66309E+01 5.80692E+01 6.20940E+01 5.18393E+01 5.78536E+01 5.89516E+01 7.14754E+01 1.04956E+02
  9.86719E+01 1.26041E+02 1.08379E+02 1.15139E+02 1.28155E+02 1.22151E+02 9.25372E+01 1.12622E+02 1.37727E+02 9.83171E+01
  1.30963E+02 1.29466E+02 8.27326E+01
0LAMBDA: 1.000E-06                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  2.9948E+02



                                   ITERATION NO.   6
0DETERMINANT:  3.8184E-27
0ANGLE IN SCALED. COORD,=87.14 DEGREES
0DETERMINANT:  3.8222E-27
0ANGLE IN SCALED. COORD,=87.14 DEGREES
0DETERMINANT:  3.8597E-27
0ANGLE IN SCALED. COORD,=87.13 DEGREES
0DETERMINANT:  4.2466E-27
0ANGLE IN SCALED. COORD,=87.04 DEGREES
0DETERMINANT:  9.5387E-27
0ANGLE IN SCALED. COORD,=86.15 DEGREES
0DETERMINANT:  1.1101E-24
0ANGLE IN SCALED. COORD,=79.41 DEGREES
0DETERMINANT:  3.7612E-15
0ANGLE IN SCALED. COORD,=62.18 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          20      
    21          22          23          24          25          26          27          28          29          30      
    31          32          33          34          35          36          37          38          39          40      
    41          42          43          
  2.20000E-01 5.88675E+02 5.75654E+02 6.23748E+02 5.95490E+02 6.03849E+02 6.18813E+02 6.10850E+02 5.72993E+02 5.99008E+02
  6.33399E+02 5.85897E+02 6.25601E+02 6.23998E+02 5.64729E+02 7.25432E+01 7.80864E+01 6.54709E+01 7.12584E+01 5.67247E+01
  6.20169E+01 5.53701E+01 6.66308E+01 5.80691E+01 6.20942E+01 5.18394E+01 5.78536E+01 5.89520E+01 7.14753E+01 1.04957E+02
  9.86720E+01 1.26041E+02 1.08379E+02 1.15139E+02 1.28155E+02 1.22151E+02 9.25372E+01 1.12622E+02 1.37727E+02 9.83172E+01
  1.30963E+02 1.29466E+02 8.27326E+01
0LAMBDA: 1.000E-01                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  2.9948E+02



                                   ITERATION NO.   7
0DETERMINANT:  1.1101E-24
0ANGLE IN SCALED. COORD,=54.35 DEGREES
0DETERMINANT:  3.7612E-15
0ANGLE IN SCALED. COORD,=30.04 DEGREES
0DETERMINANT:  2.2887E+09
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0ANGLE IN SCALED. COORD,=20.16 DEGREES
0VALUES OF COEFFICIENTS
     1           2           3           4           5           6           7           8           9          10      
    11          12          13          14          15          16          17          18          19          20      
    21          22          23          24          25          26          27          28          29          30      
    31          32          33          34          35          36          37          38          39          40      
    41          42          43          
  2.20000E-01 5.88675E+02 5.75654E+02 6.23748E+02 5.95490E+02 6.03849E+02 6.18813E+02 6.10850E+02 5.72993E+02 5.99008E+02
  6.33399E+02 5.85897E+02 6.25601E+02 6.23998E+02 5.64729E+02 7.25432E+01 7.80864E+01 6.54709E+01 7.12584E+01 5.67247E+01
  6.20169E+01 5.53701E+01 6.66308E+01 5.80691E+01 6.20942E+01 5.18394E+01 5.78536E+01 5.89520E+01 7.14753E+01 1.04957E+02
  9.86720E+01 1.26041E+02 1.08379E+02 1.15139E+02 1.28155E+02 1.22151E+02 9.25372E+01 1.12622E+02 1.37727E+02 9.83172E+01
  1.30963E+02 1.29466E+02 8.27326E+01
0LAMBDA: 1.000E+00                    SUM OF SQUARES AFTER LEAST-SQUARES FIT:  2.9948E+02
0ITERATION STOPS - RELATIVE CHANGE IN EACH COEFFICIENT LESS THAN:  1.0000E-06
0CORRELATION MATRIX
0DETERMINANT:  1.8151E+05
        1          2          3          4          5          6          7          8          9         10     
    11         12         13         14         15         16         17         18         19         20     
    21         22         23         24         25         26         27         28         29         30     
    31         32         33         34         35         36         37         38         39         40     
    41         42         43         
  1   1.0000    
  2  -0.0031     1.0000    
  3  -0.0063     0.0000     1.0000    
  4  -0.0005     0.0000     0.0000     1.0000    
  5  -0.0024     0.0000     0.0000     0.0000     1.0000    
  6  -0.0003     0.0000     0.0000     0.0000     0.0000     1.0000    
  7  -0.0008     0.0000     0.0000     0.0000     0.0000     0.0000     1.0000    
  8  -0.0002     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     1.0000    
  9  -0.0035     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     1.0000    
 10  -0.0005     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     1.0000  
 11  -0.0003     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000  
   1.0000    
 12  -0.0005     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000  
   0.0000     1.0000    
 13  -0.0002     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000  
   0.0000     0.0000     1.0000    
 14  -0.0003     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000  
   0.0000     0.0000     0.0000     1.0000    
 15  -0.0082     0.0000     0.0001     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000     0.0000  
   0.0000     0.0000     0.0000     0.0000     1.0000    
 16  -0.5361    -0.0190     0.0034     0.0002     0.0013     0.0002     0.0004     0.0001     0.0019     0.0003  
   0.0002     0.0003     0.0001     0.0002     0.0044     1.0000    
 17  -0.5090     0.0016    -0.0389     0.0002     0.0012     0.0001     0.0004     0.0001     0.0018     0.0003  
   0.0001     0.0003     0.0001     0.0001     0.0042     0.2729     1.0000    
 18  -0.5537     0.0017     0.0035    -0.0029     0.0013     0.0002     0.0005     0.0001     0.0019     0.0003  
   0.0002     0.0003     0.0001     0.0002     0.0045     0.2968     0.2818     1.0000    
 19  -0.5438     0.0017     0.0034     0.0002    -0.0145     0.0002     0.0005     0.0001     0.0019     0.0003  
   0.0002     0.0003     0.0001     0.0002     0.0045     0.2916     0.2768     0.3011     1.0000    
 20  -0.5045     0.0016     0.0032     0.0002     0.0012    -0.0023     0.0004     0.0001     0.0017     0.0003  
   0.0001     0.0003     0.0001     0.0001     0.0041     0.2705     0.2568     0.2793     0.2744     1.0000  
 21  -0.6719     0.0021     0.0043     0.0003     0.0016     0.0002    -0.0032     0.0001     0.0023     0.0004  
   0.0002     0.0004     0.0002     0.0002     0.0055     0.3602     0.3420     0.3720     0.3654     0.3390  
   1.0000    
 22  -0.5019     0.0015     0.0032     0.0002     0.0012     0.0001     0.0004    -0.0014     0.0017     0.0003  
   0.0001     0.0003     0.0001     0.0001     0.0041     0.2691     0.2555     0.2779     0.2730     0.2532  
   0.3373     1.0000    
 23  -0.4901     0.0015     0.0031     0.0002     0.0012     0.0001     0.0004     0.0001    -0.0247     0.0003  
   0.0001     0.0003     0.0001     0.0001     0.0040     0.2628     0.2495     0.2714     0.2666     0.2473  
   0.3293     0.2460     1.0000    
 24  -0.5088     0.0016     0.0032     0.0002     0.0012     0.0001     0.0004     0.0001     0.0018    -0.0041  
   0.0001     0.0003     0.0001     0.0001     0.0042     0.2728     0.2590     0.2817     0.2767     0.2567  
   0.3418     0.2554     0.2494     1.0000    
 25  -0.5458     0.0017     0.0035     0.0002     0.0013     0.0002     0.0005     0.0001     0.0019     0.0003  
  -0.0019     0.0003     0.0001     0.0002     0.0045     0.2926     0.2778     0.3022     0.2968     0.2754  
   0.3667     0.2740     0.2675     0.2777     1.0000    
 26  -0.4642     0.0014     0.0029     0.0002     0.0011     0.0001     0.0004     0.0001     0.0016     0.0003  
   0.0001    -0.0048     0.0001     0.0001     0.0038     0.2488     0.2363     0.2570     0.2524     0.2342  
   0.3119     0.2330     0.2275     0.2362     0.2534     1.0000    
 27  -0.5202     0.0016     0.0033     0.0002     0.0012     0.0002     0.0004     0.0001     0.0018     0.0003  
   0.0001     0.0003    -0.0017     0.0001     0.0043     0.2789     0.2648     0.2880     0.2829     0.2624  
   0.3495     0.2611     0.2550     0.2646     0.2839     0.2414     1.0000    
 28  -0.5253     0.0016     0.0033     0.0002     0.0012     0.0002     0.0004     0.0001     0.0018     0.0003  
   0.0001     0.0003     0.0001    -0.0020     0.0043     0.2816     0.2674     0.2909     0.2857     0.2650  
   0.3530     0.2637     0.2575     0.2673     0.2867     0.2438     0.2733     1.0000    
 29  -0.3560     0.0011     0.0023     0.0002     0.0008     0.0001     0.0003     0.0001     0.0012     0.0002  
   0.0001     0.0002     0.0001     0.0001    -0.0580     0.1908     0.1812     0.1971     0.1936     0.1796  
   0.2392     0.1787     0.1745     0.1811     0.1943     0.1652     0.1852     0.1870     1.0000    
 30  -0.8507     0.3356     0.0054     0.0004     0.0020     0.0003     0.0007     0.0002     0.0029     0.0005  
   0.0002     0.0005     0.0002     0.0002     0.0070     0.7715     0.4331     0.4710     0.4627     0.4292  
   0.5716     0.4270     0.4170     0.4328     0.4644     0.3949     0.4425     0.4469     0.3028     1.0000  
 31  -0.8609     0.0027     0.3166     0.0004     0.0020     0.0003     0.0007     0.0002     0.0030     0.0005  
   0.0002     0.0005     0.0002     0.0002     0.0070     0.4615     0.7513     0.4766     0.4682     0.4343  
   0.5784     0.4321     0.4219     0.4380     0.4699     0.3996     0.4478     0.4522     0.3064     0.7324  
   1.0000    
 32  -0.8621     0.0027     0.0055     0.2638     0.0020     0.0003     0.0007     0.0002     0.0030     0.0005  
   0.0002     0.0005     0.0002     0.0002     0.0071     0.4622     0.4388     0.8137     0.4688     0.4349  
   0.5792     0.4327     0.4226     0.4386     0.4706     0.4002     0.4484     0.4529     0.3069     0.7334  
   0.7422     1.0000    
 33  -0.8484     0.0026     0.0054     0.0004     0.3401     0.0002     0.0007     0.0002     0.0029     0.0005  
   0.0002     0.0005     0.0002     0.0002     0.0069     0.4549     0.4319     0.4697     0.7766     0.4280  
   0.5701     0.4259     0.4159     0.4317     0.4631     0.3938     0.4413     0.4457     0.3020     0.7218  
   0.7304     0.7314     1.0000    
 34  -0.8286     0.0026     0.0053     0.0004     0.0020     0.2921     0.0007     0.0002     0.0029     0.0005  
   0.0002     0.0005     0.0002     0.0002     0.0068     0.4442     0.4218     0.4587     0.4506     0.8031  
   0.5567     0.4159     0.4061     0.4215     0.4523     0.3846     0.4310     0.4353     0.2949     0.7049  
   0.7133     0.7143     0.7030     1.0000    
 35  -0.8620     0.0027     0.0055     0.0004     0.0020     0.0003     0.3932     0.0002     0.0030     0.0005  
   0.0002     0.0005     0.0002     0.0002     0.0071     0.4621     0.4388     0.4772     0.4688     0.4348  
   0.7999     0.4327     0.4225     0.4385     0.4705     0.4001     0.4484     0.4528     0.3068     0.7333  
   0.7420     0.7431     0.7313     0.7142     1.0000    
 36  -0.8235     0.0025     0.0052     0.0004     0.0019     0.0002     0.0007     0.2968     0.0029     0.0004  
   0.0002     0.0005     0.0002     0.0002     0.0067     0.4415     0.4192     0.4560     0.4479     0.4155  
   0.5533     0.8038     0.4036     0.4190     0.4495     0.3823     0.4284     0.4326     0.2931     0.7006  
   0.7089     0.7100     0.6987     0.6823     0.7098     1.0000    
 37  -0.8278     0.0026     0.0052     0.0004     0.0020     0.0002     0.0007     0.0002     0.3553     0.0005  
   0.0002     0.0005     0.0002     0.0002     0.0068     0.4438     0.4214     0.4583     0.4502     0.4176  
   0.5562     0.4155     0.7539     0.4211     0.4518     0.3842     0.4306     0.4349     0.2947     0.7042  
   0.7126     0.7136     0.7023     0.6859     0.7135     0.6817     1.0000    
 38  -0.8014     0.0025     0.0051     0.0004     0.0019     0.0002     0.0007     0.0001     0.0028     0.3907  
   0.0002     0.0004     0.0002     0.0002     0.0066     0.4296     0.4079     0.4437     0.4358     0.4043  
   0.5384     0.4022     0.3928     0.7711     0.4374     0.3720     0.4168     0.4210     0.2853     0.6818  
   0.6899     0.6909     0.6799     0.6640     0.6908     0.6600     0.6634     1.0000    
 39  -0.8219     0.0025     0.0052     0.0004     0.0019     0.0002     0.0007     0.0002     0.0028     0.0004  
   0.3736     0.0004     0.0002     0.0002     0.0067     0.4406     0.4184     0.4551     0.4470     0.4147  
   0.5523     0.4126     0.4029     0.4182     0.7848     0.3815     0.4275     0.4318     0.2926     0.6993  
   0.7076     0.7086     0.6974     0.6810     0.7085     0.6769     0.6804     0.6587     1.0000    
 40  -0.7667     0.0024     0.0049     0.0003     0.0018     0.0002     0.0006     0.0001     0.0027     0.0004  
   0.0002     0.4188     0.0002     0.0002     0.0063     0.4110     0.3903     0.4245     0.4169     0.3868  
   0.5151     0.3848     0.3758     0.3901     0.4185     0.7573     0.3988     0.4028     0.2729     0.6522  
   0.6600     0.6609     0.6505     0.6352     0.6608     0.6314     0.6346     0.6144     0.6302     1.0000  
 41  -0.8026     0.0025     0.0051     0.0004     0.0019     0.0002     0.0007     0.0001     0.0028     0.0004  
   0.0002     0.0004     0.3914     0.0002     0.0066     0.4303     0.4086     0.4444     0.4365     0.4049  
   0.5393     0.4029     0.3934     0.4083     0.4381     0.3726     0.7762     0.4216     0.2857     0.6828  
   0.6910     0.6919     0.6810     0.6650     0.6918     0.6610     0.6644     0.6432     0.6597     0.6154  
   1.0000    
 42  -0.8076     0.0025     0.0051     0.0004     0.0019     0.0002     0.0007     0.0001     0.0028     0.0004  
   0.0002     0.0004     0.0002     0.3867     0.0066     0.4330     0.4111     0.4471     0.4392     0.4074  
   0.5426     0.4054     0.3958     0.4109     0.4408     0.3749     0.4201     0.7777     0.2875     0.6871  
   0.6952     0.6962     0.6852     0.6692     0.6961     0.6651     0.6685     0.6472     0.6638     0.6192  
   0.6482     1.0000    
 43  -0.7734     0.0024     0.0049     0.0003     0.0018     0.0002     0.0006     0.0001     0.0027     0.0004  
   0.0002     0.0004     0.0002     0.0002     0.3142     0.4146     0.3937     0.4282     0.4206     0.3901  
   0.5196     0.3882     0.3791     0.3935     0.4221     0.3590     0.4023     0.4063     0.7480     0.6579  
   0.6658     0.6667     0.6561     0.6408     0.6666     0.6369     0.6402     0.6197     0.6356     0.5929  
   0.6207     0.6246     1.0000    
1                            NONLINEAR LEAST-SQUARES CURVE-FITTING PROGRAM

 CEMENT HEAT, PASS 1   DEP.VAR.: MIN Y = 4.997E+02  MAX Y =  6.334E+02  RANGE Y =  1.337E+02

                   Z =  D - C + (  A / ( T + F )EXP B  )                                   
                   Z = ACID HEAT OF SOLUTION                                               
                   A = CONSTANT = B(16)*X(2) + B(17)*X(3)+---+B(29)*X(15)                  
                   B = EXPONENT OR RATE OF HARDENING = B(1)                                
                   C = ULTIMATE CUMULATIVE HEAT OF HARDENING = B(30)*X(2)+---+B(43)*X(15)  
                   D = INITIAL ACID HEAT OF SOLUTION         = B( 2)*X(2)+---+B(15)*X(15)  
                   F = TIME CORRECTION FACTOR = (A/C)EXP(1/B)                              
                   T = TIME IN DAYS = X(1)                                                 
0                                                              95% CONFIDENCE LIMITS
 IND.VAR(I)   NAME     COEF.B(I)      S.E. COEF     T-VALUE    LOWER            UPPER
      1       EXP B   2.20000E-01      3.66E-02       6.0      1.47E-01      2.93E-01
      2        D 22   5.88675E+02      2.20E+00     267.9      5.84E+02      5.93E+02
      3        D 23   5.75654E+02      2.20E+00     262.0      5.71E+02      5.80E+02
      4        D 92   6.23748E+02      1.55E+00     401.4      6.21E+02      6.27E+02
      5        D 88   5.95490E+02      2.20E+00     271.0      5.91E+02      6.00E+02
      6        D 96   6.03849E+02      1.55E+00     388.6      6.01E+02      6.07E+02
      7        D 85   6.18813E+02      2.20E+00     281.6      6.14E+02      6.23E+02
      8        D 94   6.10850E+02      1.55E+00     393.1      6.08E+02      6.14E+02
      9        D 24   5.72993E+02      2.20E+00     260.7      5.69E+02      5.77E+02
     10        D 89   5.99008E+02      2.20E+00     272.5      5.95E+02      6.03E+02
     11        D 90   6.33399E+02      2.20E+00     288.2      6.29E+02      6.38E+02
     12        D 25   5.85897E+02      2.20E+00     266.6      5.82E+02      5.90E+02
     13        D 95   6.25601E+02      2.20E+00     284.6      6.21E+02      6.30E+02
     14        D 91   6.23998E+02      2.20E+00     283.9      6.20E+02      6.28E+02
     15        D 70   5.64729E+02      2.20E+00     257.1      5.60E+02      5.69E+02
     16        A 22   7.25432E+01      6.25E+00      11.6      6.00E+01      8.50E+01
     17        A 23   7.80864E+01      6.50E+00      12.0      6.51E+01      9.11E+01
     18        A 92   6.54709E+01      6.00E+00      10.9      5.35E+01      7.75E+01
     19        A 88   7.12584E+01      6.20E+00      11.5      5.89E+01      8.37E+01
     20        A 96   5.67247E+01      5.76E+00       9.9      4.52E+01      6.82E+01
     21        A 85   6.20169E+01      4.74E+00      13.1      5.25E+01      7.15E+01
     22        A 94   5.53701E+01      5.71E+00       9.7      4.39E+01      6.68E+01
     23        A 24   6.66308E+01      6.14E+00      10.8      5.43E+01      7.89E+01
     24        A 89   5.80691E+01      5.80E+00      10.0      4.65E+01      6.97E+01
     25        A 90   6.20942E+01      5.89E+00      10.5      5.03E+01      7.39E+01
     26        A 25   5.18394E+01      5.65E+00       9.2      4.05E+01      6.31E+01
     27        A 95   5.78536E+01      5.78E+00      10.0      4.63E+01      6.94E+01
     28        A 91   5.89520E+01      5.81E+00      10.1      4.73E+01      7.06E+01
     29        A 70   7.14753E+01      7.38E+00       9.7      5.67E+01      8.62E+01
     30        C 22   1.04957E+02      6.47E+00      16.2      9.20E+01      1.18E+02
     31        C 23   9.86720E+01      6.76E+00      14.6      8.51E+01      1.12E+02
     32        C 92   1.26041E+02      5.88E+00      21.4      1.14E+02      1.38E+02
     33        C 88   1.08379E+02      6.40E+00      16.9      9.56E+01      1.21E+02
     34        C 96   1.15139E+02      5.31E+00      21.7      1.05E+02      1.26E+02
     35        C 85   1.28155E+02      5.58E+00      22.9      1.17E+02      1.39E+02
     36        C 94   1.22151E+02      5.23E+00      23.4      1.12E+02      1.33E+02
     37        C 24   9.25372E+01      6.08E+00      15.2      8.04E+01      1.05E+02
     38        C 89   1.12622E+02      5.61E+00      20.1      1.01E+02      1.24E+02
     39        C 90   1.37727E+02      5.88E+00      23.4      1.26E+02      1.49E+02
     40        C 25   9.83172E+01      5.23E+00      18.8      8.79E+01      1.09E+02
     41        C 95   1.30963E+02      5.61E+00      23.3      1.20E+02      1.42E+02
     42        C 91   1.29466E+02      5.68E+00      22.8      1.18E+02      1.41E+02
     43        C 70   8.27326E+01      6.64E+00      12.5      6.95E+01      9.60E+01
0NO. OF OBSERVATIONS             105
 NO. OF COEFFICIENTS              43
 RESIDUAL DEGREES OF FREEDOM      62
 RESIDUAL ROOT MEAN SQUARE         2.19780161
 RESIDUAL MEAN SQUARE              4.83033190
 RESIDUAL SUM OF SQUARES         299.48057768
0---------ORDERED BY COMPUTER INPUT----------          ----------------ORDERED BY RESIDUALS-----------------
 OBS. NO.    OBS. Y     FITTED Y     RESIDUAL          OBS. NO.    OBS. Y     FITTED Y  ORDERED RESID.  SEQ.
  22 0      588.700      588.675        0.025           85 3      544.800      539.229        5.571      1
  22 3      537.500      539.935       -2.435           22 7      535.600      530.725        4.875      2
  22 7      535.600      530.725        4.875           8890      517.800      513.580        4.220      3
  2228      516.200      518.519       -2.319           2218      510.200      506.857        3.343      4
  2290      507.500      510.663       -3.163           2436      501.400      498.649        2.751      5
  2218      510.200      506.857        3.343           23 7      530.000      527.339        2.661      6
  2236      503.200      503.526       -0.326           24 7      526.200      523.581        2.619      7
  23 0      575.700      575.654        0.046           89 3      534.300      531.825        2.475      8
  23 3      535.100      536.851       -1.751           9428      517.600      515.295        2.305      9
  23 7      530.000      527.339        2.661           9228      531.400      529.149        2.251     10
  2328      514.700      514.396        0.304           9690      511.900      509.786        2.114     11
  2390      503.800      505.974       -2.174           9018      517.500      515.482        2.018     12
  2318      501.400      501.884       -0.484           9590      518.100      516.135        1.965     13
  2336      499.700      498.302        1.398           9618      508.600      506.806        1.794     14
  92 0      623.400      623.748       -0.348           25 7      523.100      521.308        1.792     15
  92 0      624.100      623.748        0.352           8536      509.000      507.594        1.406     16
  92 3      548.800      548.932       -0.132           8590      515.100      513.701        1.399     17
  92 7      538.900      540.310       -1.410           2336      499.700      498.302        1.398     18
  9228      531.400      529.149        2.251           9190      517.800      516.436        1.364     19
  9290      523.000      522.033        0.967           8518      511.800      510.443        1.357     20
  9218      519.300      518.594        0.706           9118      514.600      513.339        1.261     21
  9236      513.200      515.586       -2.386           9128      524.100      522.847        1.253     22
  88 0      595.500      595.490        0.010           2536      502.800      501.736        1.064     23
  88 3      542.300      542.477       -0.177           8918      505.900      504.912        0.988     24
  88 7      532.400      533.339       -0.939           9290      523.000      522.033        0.967     25
  8828      521.800      521.305        0.495           2590      507.800      506.840        0.960     26
  8890      517.800      513.580        4.220           8990      508.900      507.962        0.938     27
  8818      507.900      509.841       -1.941           9418      507.300      506.364        0.936     28
  8836      504.900      506.568       -1.668           8536      508.500      507.594        0.906     29
  96 0      604.500      603.849        0.651           94 0      611.700      610.850        0.850     30
  96 0      603.200      603.849       -0.649           95 3      540.800      539.990        0.810     31
  96 3      532.600      533.125       -0.525           9218      519.300      518.594        0.706     32
  96 7      525.700      525.633        0.067           90 7      536.800      536.108        0.692     33
  9628      515.700      515.953       -0.253           96 0      604.500      603.849        0.651     34
  9690      511.900      509.786        2.114           94 3      532.700      532.094        0.606     35
  9618      508.600      506.806        1.794           8590      514.300      513.701        0.599     36
  9636      501.000      504.200       -3.200           7036      502.100      501.509        0.591     37
  85 0      618.800      618.813       -0.013           9090      519.300      518.745        0.555     38
  85 3      544.800      539.229        5.571           70 7      528.400      527.859        0.541     39
  85 3      538.200      539.229       -1.029           8828      521.800      521.305        0.495     40
  85 7      528.500      531.031       -2.531           92 0      624.100      623.748        0.352     41
  85 7      530.200      531.031       -0.831           2328      514.700      514.396        0.304     42
  8528      517.800      520.444       -2.644           9490      509.500      509.273        0.227     43
  8528      517.100      520.444       -3.344           70 3      536.400      536.205        0.195     44
  8590      515.100      513.701        1.399           96 7      525.700      525.633        0.067     45
  8590      514.300      513.701        0.599           23 0      575.700      575.654        0.046     46
  8518      509.600      510.443       -0.843           22 0      588.700      588.675        0.025     47
  8518      511.800      510.443        1.357           88 0      595.500      595.490        0.010     48
  8536      509.000      507.594        1.406           24 0      573.000      572.993        0.007     49
  8536      508.500      507.594        0.906           25 0      585.900      585.897        0.003     50
  94 0      610.000      610.850       -0.850           91 0      624.000      623.998        0.002     51
  94 0      611.700      610.850        0.850           90 0      633.400      633.399        0.001     52
  94 3      532.700      532.094        0.606           95 0      625.600      625.601       -0.001     53
  94 7      522.500      524.755       -2.255           89 0      599.000      599.008       -0.008     54
  9428      517.600      515.295        2.305           85 0      618.800      618.813       -0.013     55
  9490      509.500      509.273        0.227           70 0      564.700      564.729       -0.029     56
  9418      507.300      506.364        0.936           92 3      548.800      548.932       -0.132     57
  9436      502.000      503.820       -1.820           88 3      542.300      542.477       -0.177     58
  24 0      573.000      572.993        0.007           91 7      532.700      532.919       -0.219     59
  24 3      530.900      531.956       -1.056           9536      510.200      510.437       -0.237     60
  24 7      526.200      523.581        2.619           8936      502.000      502.244       -0.244     61
  2428      511.500      512.411       -0.911           9628      515.700      515.953       -0.253     62
  2490      503.000      505.202       -2.202           2236      503.200      503.526       -0.326     63
  2418      500.500      501.708       -1.208           92 0      623.400      623.748       -0.348     64
  2436      501.400      498.649        2.751           90 3      543.900      544.340       -0.440     65
  89 0      599.000      599.008       -0.008           2318      501.400      501.884       -0.484     66
  89 3      534.300      531.825        2.475           96 3      532.600      533.125       -0.525     67
  89 7      521.100      524.175       -3.075           9528      521.900      522.427       -0.527     68
  8928      513.200      514.274       -1.074           96 0      603.200      603.849       -0.649     69
  8990      508.900      507.962        0.938           91 3      540.000      540.732       -0.732     70
  8918      505.900      504.912        0.988           2528      511.700      512.474       -0.774     71
  8936      502.000      502.244       -0.244           9518      512.300      513.095       -0.795     72
  90 0      633.400      633.399        0.001           85 7      530.200      531.031       -0.831     73
  90 3      543.900      544.340       -0.440           8518      509.600      510.443       -0.843     74
  90 7      536.800      536.108        0.692           94 0      610.000      610.850       -0.850     75
  9028      524.600      525.498       -0.898           9028      524.600      525.498       -0.898     76
  9090      519.300      518.745        0.555           2428      511.500      512.411       -0.911     77
  9018      517.500      515.482        2.018           88 7      532.400      533.339       -0.939     78
  9036      510.700      512.629       -1.929           25 3      527.100      528.128       -1.028     79
  25 0      585.900      585.897        0.003           85 3      538.200      539.229       -1.029     80
  25 3      527.100      528.128       -1.028           24 3      530.900      531.956       -1.056     81
  25 7      523.100      521.308        1.792           8928      513.200      514.274       -1.074     82
  2528      511.700      512.474       -0.774           2418      500.500      501.708       -1.208     83
  2590      507.800      506.840        0.960           95 7      531.100      532.315       -1.215     84
  2518      502.100      504.117       -2.017           7028      514.900      516.198       -1.298     85
  2536      502.800      501.736        1.064           92 7      538.900      540.310       -1.410     86
  95 0      625.600      625.601       -0.001           8836      504.900      506.568       -1.668     87
  95 3      540.800      539.990        0.810           23 3      535.100      536.851       -1.751     88
  95 7      531.100      532.315       -1.215           9436      502.000      503.820       -1.820     89
  9528      521.900      522.427       -0.527           9036      510.700      512.629       -1.929     90
  9590      518.100      516.135        1.965           8818      507.900      509.841       -1.941     91
  9518      512.300      513.095       -0.795           2518      502.100      504.117       -2.017     92
  9536      510.200      510.437       -0.237           2390      503.800      505.974       -2.174     93
  91 0      624.000      623.998        0.002           2490      503.000      505.202       -2.202     94
  91 3      540.000      540.732       -0.732           94 7      522.500      524.755       -2.255     95
  91 7      532.700      532.919       -0.219           2228      516.200      518.519       -2.319     96
  9128      524.100      522.847        1.253           9236      513.200      515.586       -2.386     97
  9190      517.800      516.436        1.364           22 3      537.500      539.935       -2.435     98
  9118      514.600      513.339        1.261           85 7      528.500      531.031       -2.531     99
  9136      507.700      510.630       -2.930           8528      517.800      520.444       -2.644    100
  70 0      564.700      564.729       -0.029           9136      507.700      510.630       -2.930    101
  70 3      536.400      536.205        0.195           89 7      521.100      524.175       -3.075    102
  70 7      528.400      527.859        0.541           2290      507.500      510.663       -3.163    103
  7028      514.900      516.198       -1.298           9636      501.000      504.200       -3.200    104
  7036      502.100      501.509        0.591           8528      517.100      520.444       -3.344    105
1 CEMENT HEAT, PASS 1                                  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
                    I                                                  '                                                 I
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                    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             I                                                  '      +                                          I
      L             I                                                  '   +++                                           I
      S             I                                                  '  ++                                             I
                    I                                                  '  +                                              I
                  0 I------------------------------------------------+++++-----------------------------------------------I
                    I                                               ++ '                                                 I
                    I                                              ++  '                                                 I
                    I                                            ++    '                                                 I
                    I                                            +     '                                                 I
                    I                                         +++      '                                                 I
                    I                                       ++         '                                                 I
                    I                                      +           '                                                 I
                    I                                     +            '                                                 I
                    I                                                  '                                                 I
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                  G I                                 +                '                                                 I
                  A I                              ++++                '                                                 I
                  T I                             ++                   '                                                 I
                  I I                          + +                     '                                                 I
                  V I                                                  '                                                 I
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                    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 CEMENT HEAT, PASS 1                                        RESIDUAL VS. FITTED Y
                 498.302                                           565.851                                           633.399
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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
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                    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             I              +            +  +                                                                     I
      L             I +        +   + +   +   +                                                    +                      I
      S             I          +                                                                                 +       I
                    I       +                   +                                                                        I
                  0 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
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                 498.302                                           565.851                                           633.399
                                                                   FITTED Y
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE  1
                   0.000                  91.250                   182.500                 273.750                   365.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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
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                    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             I+                                               +                                                   I
      L             I+                      +                                                                           +I
      S             I+     +                                                                                             I
                    I+     +                +                                                                            I
                  0 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                  91.250                   182.500                 273.750                   365.000
0                                                          INDEPENDENT VARIABLE 1
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE  2
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             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
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE 2
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE  3
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             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
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE 3
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE  4
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             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
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE 4
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE  5
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             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
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE 5
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE  6
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             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
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE 6
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE  7
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             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
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE 7
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE  8
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             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
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE 8
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE  9
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             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
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE 9
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE 10
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             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
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE10
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE 11
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             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
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE11
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE 12
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             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
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE12
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE 13
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I+                                                                                                   I
                    I                                                                                                    I
                  P I                                                                                                    I
                  O I+                                                                                                   I
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                  T I                                                                                                    I
                  I I+                                                                                                   I
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                    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             I+                                                                                                  +I
      L             I+                                                                                                   I
      S             I+                                                                                                   I
                    I+                                                                                                   I
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE13
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE 14
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    I+                                                                                                   I
                    I                                                                                                    I
                  P I                                                                                                    I
                  O I+                                                                                                   I
                  S I                                                                                                    I
                  I I                                                                                                    I
                  T I                                                                                                    I
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                  V I                                                                                                    I
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                    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             I+                                                                                                   I
      L             I+                                                                                                   I
      S             I+                                                                                                   I
                    I+                                                                                                   I
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE14
1 CEMENT HEAT, PASS 1                               RESIDUALS VS. INDEPENDENT VARIABLE 15
                   0.000                   0.250                     0.500                   0.750                     1.000
                    *----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*----*-
                    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             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
                  0 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                   0.250                     0.500                   0.750                     1.000
0                                                          INDEPENDENT VARIABLE15
1END OF PROBLEM    CEMENT HEAT, PASS 1