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Trailing-Edge - PDP-10 Archives - decuslib20-05 - decus/20-0149/mulpri.cdc
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RESULTS IN THE FOLLOWING OUTPUT FROM THE PROGRAM:



          ***********************************
          *                                 *
          *  EXAMPLE  1  ORIGINATES FROM:   *
          *                                 *
          *  REFERENCE [5],  PAGE 472, 479  *
          *                                 *
          ***********************************



          ***************************************
          *                                     *
          *  NOTICE:  2.30258 50930  =  LN(10)  *
          *                                     *
          ***************************************







"MODEL"  Y  =  C * (LN(X) / 2.30258 50930)  +  A  +  B * X






"INPUT"  5 * ([X], 10 * [Y])






"OPTIONS"  TRANSFORMED DATA MATRIX,

           CORRELATION MATRIX,

           RESIDUAL ANALYSIS,

           PROCESS SUB MODELS (1, 2)

TRANSFORMED DATA MATRIX
=======================

OBS.NO.     C           A           B           DEP.VAR.

     1         1.398       1.000      25.000        .790
     2         1.699       1.000      50.000        .984
     3         1.903       1.000      80.000       1.058
     4         2.114       1.000     130.000       1.163
     5         2.255       1.000     180.000       1.209
CONTROL INFORMATION
===================

TRANSFORMED VARIABLE
DENOTED BY PARAMETER         MEAN            STANDARD DEVIATION                MINIMUM                  MAXIMUM

 C                         1.873843                   .306746                 1.397940                 2.255273
 A                         1.000000                   .000000                 1.000000                 1.000000
 B                        93.000000                 56.387870                25.000000               180.000000
 DEP.VAR.                  1.040800                   .163655                  .670000                 1.330000




CORRELATION MATRIX OF THE VARIABLES
===================================

            C           A           B           DEP.VAR.

 C          1.000000
 A              *       1.000000
 B           .962417        *       1.000000
 DEP.VAR.    .907742        *        .849838    1.000000





MULTIPLE CORRELATION COEFFICIENT     .911959    (ADJUSTED    .908023)
================================





PROPORTION OF VARIATION EXPLAINED    .831669    (ADJUSTED    .824506)
=================================





STANDARD DEVIATION OF THE ERROR TERM              .068558
====================================
REGRESSION PARAMETERS
=====================
                                                                                                    RIGHT  TAIL
PARAMETER                ESTIMATE            STANDARD DEVIATION              F - RATIO              PROBABILITY

 C                    .649916854704             .117569464868                30.558112                  .000001

 A                   -.089981931872             .164146913453                  .300500                  .586163

 B                   -.000936132563             .000639569543                 2.142393                  .149935




CORRELATION MATRIX OF THE ESTIMATES
===================================

            C           A           B

 C          1.000000
 A          -.993392    1.000000
 B          -.962417     .929333    1.000000




ANALYSIS OF VARIANCE TABLE
==========================
                                                                                                    RIGHT  TAIL
SOURCE                   DF       SUM OF SQUARES          MEAN SQUARE            F - RATIO          PROBABILITY

---------------------------------------------------------------------------------------------------------------

TOTAL (UNCORRECTED)      50            55.475600
MEAN                      1            54.163232
TOTAL (CORRECTED)        49             1.312368
REGRESSION                2             1.091456              .545728           116.105965              .000000
RESIDUAL                 47              .220912              .004700

---------------------------------------------------------------------------------------------------------------

 LACK OF FIT              2              .005012              .002506              .522336              .596685
 PURE ERROR              45              .215900              .004798

---------------------------------------------------------------------------------------------------------------


REGRESSION NULL HYPOTHESIS :  C = B = 0
RESIDUAL ANALYSIS
=================
                                                                                              STANDARDIZED         STUDENTIZED
OBS.NO.        OBSERVATION        FITTED VALUE    STANDARD DEVIATION          RESIDUAL            RESIDUAL            RESIDUAL

     1             .790000             .795160             .020789            -.005160            -.118992            -.078976
     2             .984000             .967401             .013590             .016599             .382824             .247021
     3            1.058000            1.071978             .015165            -.013978            -.322363            -.209059
     4            1.163000            1.162208             .012847             .000792             .018260             .011757
     5            1.209000            1.207254             .019954             .001746             .040272             .026623

                                                        SUM OF RESIDUALS      -.000000
CONTROL INFORMATION  -  SUBMODEL  1
===================

TRANSFORMED VARIABLE
DENOTED BY PARAMETER         MEAN            STANDARD DEVIATION                MINIMUM                  MAXIMUM

 B           OMITTED

 C                         1.873843                   .306746                 1.397940                 2.255273
 A                         1.000000                   .000000                 1.000000                 1.000000
 DEP.VAR.                  1.040800                   .163655                  .670000                 1.330000





MULTIPLE CORRELATION COEFFICIENT     .907742    (ADJUSTED    .905720)
================================





PROPORTION OF VARIATION EXPLAINED    .823996    (ADJUSTED    .820329)
=================================





STANDARD DEVIATION OF THE ERROR TERM              .069369
====================================
REGRESSION PARAMETERS
=====================
                                                                                                    RIGHT  TAIL
PARAMETER                ESTIMATE            STANDARD DEVIATION              F - RATIO              PROBABILITY

 C                    .484298842406             .032306611132               224.721204                  .000000

 A                    .133299921203             .061327270538                 4.724464                  .034701




CORRELATION MATRIX OF THE ESTIMATES
===================================

            C           A

 C          1.000000
 A          -.987122    1.000000




ANALYSIS OF VARIANCE TABLE
==========================
                                                                                                    RIGHT  TAIL
SOURCE                   DF       SUM OF SQUARES          MEAN SQUARE            F - RATIO          PROBABILITY

---------------------------------------------------------------------------------------------------------------

TOTAL (UNCORRECTED)      50            55.475600
MEAN                      1            54.163232
TOTAL (CORRECTED)        49             1.312368
REGRESSION                1             1.081386             1.081386           224.721204              .000000
RESIDUAL                 48              .230982              .004812

---------------------------------------------------------------------------------------------------------------

 LACK OF FIT              3              .015082              .005027             1.047840              .380680
 PURE ERROR              45              .215900              .004798

---------------------------------------------------------------------------------------------------------------

 REDUCTION                1              .010070              .010070             2.142393              .149935

---------------------------------------------------------------------------------------------------------------


REGRESSION NULL HYPOTHESIS :  C = 0  (IN THE REDUCED MODEL)

 REDUCTION NULL HYPOTHESIS :  B = 0  (IN THE ORIGINAL MODEL)
RESIDUAL ANALYSIS
=================
                                                                                              STANDARDIZED         STUDENTIZED
OBS.NO.        OBSERVATION        FITTED VALUE    STANDARD DEVIATION          RESIDUAL            RESIDUAL            RESIDUAL

     1             .790000             .810321             .018238            -.020321            -.378176            -.303615
     2             .984000             .956109             .011321             .027891             .519061             .407526
     3            1.058000            1.054964             .009856             .003036             .056498             .044211
     4            1.163000            1.157080             .012506             .005920             .110169             .086758
     5            1.209000            1.225526             .015751            -.016526            -.307552            -.244618

                                                        SUM OF RESIDUALS       .000000
CONTROL INFORMATION  -  SUBMODEL  2
===================

TRANSFORMED VARIABLE
DENOTED BY PARAMETER         MEAN            STANDARD DEVIATION                MINIMUM                  MAXIMUM

 A           OMITTED
 B           OMITTED

 C                         1.873843                   .306746                 1.397940                 2.255273
 DEP.VAR.                  1.040800                   .163655                  .670000                 1.330000





MULTIPLE CORRELATION COEFFICIENT     .898150    (ADJUSTED    .898150)
================================





PROPORTION OF VARIATION EXPLAINED    .806673    (ADJUSTED    .806673)
=================================





STANDARD DEVIATION OF THE ERROR TERM              .071958
====================================





THERE IS NO CONSTANT TERM IN THIS (SUB)MODEL    (MESSAGE)
REGRESSION PARAMETERS
=====================
                                                                                                    RIGHT  TAIL
PARAMETER                ESTIMATE            STANDARD DEVIATION              F - RATIO              PROBABILITY

 C                    .553615668546             .005360794684             10664.939538                  .000000




CORRELATION MATRIX OF THE ESTIMATES
===================================

            C

 C          1.000000




ANALYSIS OF VARIANCE TABLE
==========================
                                                                                                    RIGHT  TAIL
SOURCE                   DF       SUM OF SQUARES          MEAN SQUARE            F - RATIO          PROBABILITY

---------------------------------------------------------------------------------------------------------------

TOTAL (UNCORRECTED)      50            55.475600
REGRESSION                1            55.221883            55.221883         10664.939538              .000000
RESIDUAL                 49              .253717              .005178

---------------------------------------------------------------------------------------------------------------

 LACK OF FIT              4              .037817              .009454             1.970527              .115262
 PURE ERROR              45              .215900              .004798

---------------------------------------------------------------------------------------------------------------

 REDUCTION                2              .032805              .016402             3.489649              .038633

---------------------------------------------------------------------------------------------------------------


REGRESSION NULL HYPOTHESIS :  C = 0  (IN THE REDUCED MODEL)

 REDUCTION NULL HYPOTHESIS :  A = B = 0  (IN THE ORIGINAL MODEL)
RESIDUAL ANALYSIS
=================
                                                                                              STANDARDIZED         STUDENTIZED
OBS.NO.        OBSERVATION        FITTED VALUE    STANDARD DEVIATION          RESIDUAL            RESIDUAL            RESIDUAL

     1             .790000             .773921             .007494             .016079             .249818             .224666
     2             .984000             .940576             .009108             .043424             .674690             .608354
     3            1.058000            1.053580             .010202             .004420             .068669             .062046
     4            1.163000            1.170312             .011332            -.007312            -.113612            -.102902
     5            1.209000            1.248554             .012090            -.039554            -.614570            -.557615

                                                        SUM OF RESIDUALS       .170553





END OF JOB
RESULTS IN THE FOLLOWING OUTPUT FROM THE PROGRAM:



          ***********************************
          *                                 *
          *  EXAMPLE  2  ORIGINATES FROM:   *
          *                                 *
          *  REFERENCE [3],  PAGE 218, FF.  *
          *                                 *
          ***********************************







"MODEL"  CHAMBER PRESSURE  =  BETA0 + BETA4 * STATIC FIRE + BETA34 * DROP SHOCK * STATIC FIRE + BETA2 * VIBRATION






"INPUT"  24 * [UNIT NO, CYCLE TEMP, VIBRATION, DROP SHOCK, STATIC FIRE, CHAMBER PRESSURE]






"OPTIONS"  TRANSFORMED DATA MATRIX, CORRELATION MATRIX, NO REGRESSION ANALYSIS

TRANSFORMED DATA MATRIX
=======================

OBS.NO.     BETA0       BETA4       BETA34      BETA2       DEP.VAR.

     1         1.000     -65.000        .000        .000       1.400
     2         1.000     150.000        .000        .000      26.300
     3         1.000     150.000        .000     -75.000      26.500
     4         1.000     -65.000        .000     175.000       5.800
     5         1.000     150.000        .000     -75.000      23.400
     6         1.000     -65.000        .000     175.000       7.400
     7         1.000     150.000   -9750.000        .000      29.400
     8         1.000     -65.000  -10725.000        .000       9.700
     9         1.000     150.000        .000        .000      32.900
    10         1.000     150.000        .000     -75.000      26.400

    11         1.000     -65.000        .000     175.000       8.400
    12         1.000     150.000   -9750.000     -75.000      28.800
    13         1.000     -65.000  -10725.000     175.000      11.800
    14         1.000     150.000   -9750.000     -75.000      28.400
    15         1.000     -65.000  -10725.000     175.000      11.500
    16         1.000     150.000        .000     -75.000      26.500
    17         1.000     -65.000        .000     175.000       5.800
    18         1.000     -65.000    4225.000        .000       1.300
    19         1.000     150.000   24750.000        .000      21.400
    20         1.000     -65.000    4225.000     -75.000        .400

    21         1.000     150.000   24750.000     175.000      22.900
    22         1.000     150.000   -9750.000     -75.000      26.400
    23         1.000     -65.000  -10725.000     175.000      11.400
    24         1.000     -65.000        .000        .000       3.700
CONTROL INFORMATION
===================

TRANSFORMED VARIABLE
DENOTED BY PARAMETER         MEAN            STANDARD DEVIATION                MINIMUM                  MAXIMUM

 BETA0                     1.000000                   .000000                 1.000000                 1.000000
 BETA4                    42.500000                109.812092               -65.000000               150.000000
 BETA34                 -997.916667               9503.497402            -10725.000000             24750.000000
 BETA2                    33.333333                107.001287               -75.000000               175.000000
 DEP.VAR.                 16.579167                 10.857976                  .400000                32.900000




CORRELATION MATRIX OF THE VARIABLES
===================================

            BETA0       BETA4       BETA34      BETA2       DEP.VAR.

 BETA0      1.000000
 BETA4          *       1.000000
 BETA34         *        .201315    1.000000
 BETA2          *       -.596668     .058825    1.000000
 DEP.VAR.       *        .943534    -.032554    -.463978    1.000000




NO REGRESSION ANALYSIS BY OPTION





END OF JOB
RESULTS IN THE FOLLOWING OUTPUT FROM THE PROGRAM:



          ***********************************
          *                                 *
          *  EXAMPLE  3  ORIGINATES FROM:   *
          *                                 *
          *  REFERENCE [3],  PAGE 228, 339  *
          *                                 *
          ***********************************







"MODEL"  LN(MEAN SURFACE VOLUME)  =  LNALPHA + BETA * LN(FEED RATE) + GAMMA * LN(WHEEL VELOCITY) + DELTA * LN(FEED VISCOSITY)






"INPUT"  35 * [RUN NUMBER, FEED RATE, WHEEL VELOCITY, FEED VISCOSITY, MEAN SURFACE VOLUME]






"OPTIONS"  TRANSFORMED DATA MATRIX, CORRELATION MATRIX, RESIDUAL ANALYSIS, PROCESS SUBMODELS (1)

TRANSFORMED DATA MATRIX
=======================

OBS.NO.     LNALPHA     BETA        GAMMA       DELTA       DEP.VAR.

     1         1.000      -4.051       8.575      -2.226       3.235
     2         1.000      -2.765       8.594      -2.235       3.453
     3         1.000      -2.777       9.024      -2.235       3.246
     4         1.000      -4.440       9.287      -2.244       2.856
     5         1.000      -2.263       8.434      -2.283       3.643
     6         1.000      -4.440       9.333      -2.254       2.901
     7         1.000      -4.406       8.666      -2.254       3.277
     8         1.000      -4.406       8.987      -2.303       2.960
     9         1.000      -3.199       9.210      -2.244       3.105
    10         1.000      -3.199       8.795      -2.254       3.273

    11         1.000      -2.765       9.071      -2.263       3.250
    12         1.000      -3.199       8.389      -2.263       3.472
    13         1.000      -3.182       8.936      -2.244       3.223
    14         1.000      -2.293       8.476      -2.244       3.681
    15         1.000      -4.075       8.039      -2.244       3.572
    16         1.000      -3.189       9.138      -2.254       3.157
    17         1.000      -4.075       8.949      -2.323       3.096
    18         1.000      -4.075       8.575      -2.313       3.277
    19         1.000      -2.293       8.648      -2.323       3.681
    20         1.000      -2.777       8.732      -2.283       3.450

    21         1.000      -2.777       8.949      -2.283       3.292
    22         1.000      -4.075       9.230      -2.303       2.896
    23         1.000      -4.440       8.476      -2.283       3.346
    24         1.000      -3.199       8.795      -2.283       3.307
    25         1.000      -2.777       9.024      -2.283       3.250
    26         1.000      -4.075       8.949      -2.283       3.140
    27         1.000      -3.199       9.105       -.489       3.153
    28         1.000      -4.075       9.220       -.480       2.896
    29         1.000      -3.199       8.575       -.399       3.431
    30         1.000      -2.777       8.987       -.472       3.246

    31         1.000      -2.293       8.896       -.489       3.367
    32         1.000      -4.440       8.764      -1.115       3.091
    33         1.000      -4.075       8.987      -1.076       2.934
    34         1.000      -4.440       9.180        .612       2.885
    35         1.000      -3.199       8.748        .663       3.346
CONTROL INFORMATION
===================

TRANSFORMED VARIABLE
DENOTED BY PARAMETER         MEAN            STANDARD DEVIATION                MINIMUM                  MAXIMUM

 LNALPHA                   1.000000                   .000000                 1.000000                 1.000000
 BETA                     -3.454469                   .748055                -4.439656                -2.263364
 GAMMA                     8.849891                   .298180                 8.039157                 9.332558
 DELTA                    -1.778466                   .899585                -2.322788                  .662688
 DEP.VAR.                  3.239746                   .228501                 2.856470                 3.681351




CORRELATION MATRIX OF THE VARIABLES
===================================

            LNALPHA     BETA        GAMMA       DELTA       DEP.VAR.

 LNALPHA    1.000000
 BETA           *       1.000000
 GAMMA          *       -.181207    1.000000
 DELTA          *       -.036208     .180086    1.000000
 DEP.VAR.       *        .680447    -.811063    -.202936    1.000000





MULTIPLE CORRELATION COEFFICIENT     .977342    (ADJUSTED    .975121)
================================





PROPORTION OF VARIATION EXPLAINED    .955197    (ADJUSTED    .950861)
=================================





STANDARD DEVIATION OF THE ERROR TERM              .050652
====================================
REGRESSION PARAMETERS
=====================
                                                                                                    RIGHT  TAIL
PARAMETER                ESTIMATE            STANDARD DEVIATION              F - RATIO              PROBABILITY

 LNALPHA             8.549532333086             .266023898546              1032.864643                  .000000

 BETA                 .168424405160             .011808119577               203.445721                  .000000

 GAMMA               -.537137014095             .030096077272               318.530024                  .000000

 DELTA               -.014413466996             .009817045795                 2.155635                  .152122




CORRELATION MATRIX OF THE ESTIMATES
===================================

            LNALPHA     BETA        GAMMA       DELTA

 LNALPHA    1.000000
 BETA       -.024345    1.000000
 GAMMA      -.985554     .177707    1.000000
 DELTA       .242973     .003696    -.176561    1.000000




ANALYSIS OF VARIANCE TABLE
==========================
                                                                                                    RIGHT  TAIL
SOURCE                   DF       SUM OF SQUARES          MEAN SQUARE            F - RATIO          PROBABILITY

---------------------------------------------------------------------------------------------------------------

TOTAL (UNCORRECTED)      35           369.133526
MEAN                      1           367.358289
TOTAL (CORRECTED)        34             1.775238
REGRESSION                3             1.695702              .565234           220.306257              .000000
RESIDUAL                 31              .079536              .002566

---------------------------------------------------------------------------------------------------------------


REGRESSION NULL HYPOTHESIS :  BETA = GAMMA = DELTA = 0
RESIDUAL ANALYSIS
=================
                                                                                              STANDARDIZED         STUDENTIZED
OBS.NO.        OBSERVATION        FITTED VALUE    STANDARD DEVIATION          RESIDUAL            RESIDUAL            RESIDUAL

     1            3.234749            3.293078             .014784            -.058329           -1.223587           -1.203971
     2            3.453157            3.499877             .013574            -.046720            -.980073            -.957386
     3            3.246491            3.266833             .014411            -.020342            -.426727            -.418915
     4            2.856470            2.845581             .019237             .010889             .228428             .232392
     5            3.642836            3.671117             .019169            -.028281            -.593273            -.603205
     6            2.901422            2.821409             .020142             .080013            1.678467            1.721617
     7            3.277145            3.185264             .016296             .091881            1.927422            1.915802
     8            2.960105            3.013233             .015317            -.053128           -1.114483           -1.100383
     9            3.104587            3.095864             .015813             .008723             .182980             .181266
    10            3.273364            3.319189             .010115            -.045825            -.961298            -.923297

    11            3.250374            3.244114             .015389             .006261             .131334             .129733
    12            3.471966            3.537118             .016090            -.065151           -1.366704           -1.356500
    13            3.222868            3.246139             .010877            -.023271            -.488175            -.470406
    14            3.681351            3.642772             .018313             .038579             .809285             .816897
    15            3.572346            3.577499             .027704            -.005154            -.108113            -.121538
    16            3.157000            3.136624             .014274             .020376             .427441             .419268
    17            3.095578            3.089933             .012748             .005644             .118401             .115136
    18            3.277145            3.290415             .015136            -.013270            -.278377            -.274531
    19            3.681351            3.551596             .016891             .129755            2.721926            2.717208
    20            3.449988            3.424209             .012559             .025778             .540765             .525330

    21            3.292126            3.307827             .013565            -.015701            -.329363            -.321724
    22            2.895912            2.938617             .016603            -.042705            -.895839            -.892395
    23            3.346389            3.281716             .019666             .064673            1.356676            1.385494
    24            3.306887            3.319607             .010241            -.012720            -.266842            -.256427
    25            3.250374            3.267523             .014593            -.017148            -.359731            -.353541
    26            3.139833            3.089357             .012571             .050476            1.058853            1.028699
    27            3.152736            3.127162             .016604             .025574             .536468             .534411
    28            2.895912            2.917634             .018272            -.021722            -.455674            -.459805
    29            3.430756            3.410283             .019104             .020473             .429475             .436419
    30            3.246491            3.261192             .017683            -.014701            -.308384            -.309713

    31            3.367296            3.392279             .020625            -.024983            -.524074            -.540015
    32            3.091042            3.110356             .016548            -.019313            -.405145            -.403428
    33            2.933857            3.051431             .013053            -.117574           -2.466405           -2.402326
    34            2.884801            2.862104             .027070             .022697             .476118             .530148
    35            3.346389            3.302140             .026253             .044249             .928227            1.021480

                                                        SUM OF RESIDUALS       .000000
CONTROL INFORMATION  -  SUBMODEL  1
===================

TRANSFORMED VARIABLE
DENOTED BY PARAMETER         MEAN            STANDARD DEVIATION                MINIMUM                  MAXIMUM

 DELTA       OMITTED

 LNALPHA                   1.000000                   .000000                 1.000000                 1.000000
 BETA                     -3.454469                   .748055                -4.439656                -2.263364
 GAMMA                     8.849891                   .298180                 8.039157                 9.332558
 DEP.VAR.                  3.239746                   .228501                 2.856470                 3.681351





MULTIPLE CORRELATION COEFFICIENT     .975747    (ADJUSTED    .974211)
================================





PROPORTION OF VARIATION EXPLAINED    .952082    (ADJUSTED    .949087)
=================================





STANDARD DEVIATION OF THE ERROR TERM              .051559
====================================
REGRESSION PARAMETERS
=====================
                                                                                                    RIGHT  TAIL
PARAMETER                ESTIMATE            STANDARD DEVIATION              F - RATIO              PROBABILITY

 LNALPHA             8.644432310652             .262670249166              1083.056676                  .000000

 BETA                 .168488482734             .012019363334               196.506767                  .000000

 GAMMA               -.544938779320             .030153414883               326.604694                  .000000




CORRELATION MATRIX OF THE ESTIMATES
===================================

            LNALPHA     BETA        GAMMA

 LNALPHA    1.000000
 BETA       -.026023    1.000000
 GAMMA      -.987286     .181207    1.000000




ANALYSIS OF VARIANCE TABLE
==========================
                                                                                                    RIGHT  TAIL
SOURCE                   DF       SUM OF SQUARES          MEAN SQUARE            F - RATIO          PROBABILITY

---------------------------------------------------------------------------------------------------------------

TOTAL (UNCORRECTED)      35           369.133526
MEAN                      1           367.358289
TOTAL (CORRECTED)        34             1.775238
REGRESSION                2             1.690171              .845086           317.901017              .000000
RESIDUAL                 32              .085067              .002658

---------------------------------------------------------------------------------------------------------------

 REDUCTION                1              .005531              .005531             2.155635              .152122

---------------------------------------------------------------------------------------------------------------


REGRESSION NULL HYPOTHESIS :  BETA = GAMMA = 0  (IN THE REDUCED MODEL)

 REDUCTION NULL HYPOTHESIS :  DELTA = 0  (IN THE ORIGINAL MODEL)
RESIDUAL ANALYSIS
=================
                                                                                              STANDARDIZED         STUDENTIZED
OBS.NO.        OBSERVATION        FITTED VALUE    STANDARD DEVIATION          RESIDUAL            RESIDUAL            RESIDUAL

     1            3.234749            3.288736             .014744            -.053986           -1.095063           -1.092714
     2            3.453157            3.495338             .013453            -.042181            -.855592            -.847461
     3            3.246491            3.258939             .013610            -.012448            -.252494            -.250309
     4            2.856470            2.835391             .018263             .021079             .427577             .437186
     5            3.642836            3.667170             .019319            -.024335            -.493612            -.509070
     6            2.901422            2.810729             .019119             .090693            1.839619            1.894046
     7            3.277145            3.179790             .016148             .097355            1.974757            1.988259
     8            2.960105            3.004546             .014381            -.044441            -.901445            -.897568
     9            3.104587            3.086354             .014683             .018233             .369839             .368910
    10            3.273364            3.312784             .009289            -.039420            -.799600            -.777283

    11            3.250374            3.235443             .014465             .014931             .302866             .301712
    12            3.471966            3.533738             .016210            -.061771           -1.252973           -1.262069
    13            3.222868            3.238771             .009822            -.015903            -.322584            -.314204
    14            3.681351            3.639046             .018461             .042305             .858113             .878776
    15            3.572346            3.577070             .028198            -.004725            -.095835            -.109457
    16            3.157000            3.127544             .013095             .029456             .597494             .590683
    17            3.095578            3.081275             .011505             .014303             .290113             .284576
    18            3.277145            3.284817             .014911            -.007672            -.155626            -.155449
    19            3.681351            3.545399             .016648             .135953            2.757671            2.786075
    20            3.449988            3.417901             .012012             .032087             .650846             .639938

    21            3.292126            3.299829             .012646            -.007702            -.156232            -.154093
    22            2.895912            2.928056             .015231            -.032144            -.652013            -.652569
    23            3.346389            3.277298             .019783             .069091            1.401447            1.451105
    24            3.306887            3.312784             .009289            -.005897            -.119624            -.116286
    25            3.250374            3.258939             .013610            -.008564            -.173721            -.172218
    26            3.139833            3.081275             .011505             .058558            1.187784            1.165114
    27            3.152736            3.143769             .012373             .008967             .181893             .179159
    28            2.895912            2.933425             .015036            -.037513            -.760916            -.760637
    29            3.430756            3.432323             .012027            -.001567            -.031791            -.031260
    30            3.246491            3.279000             .013097            -.032509            -.659420            -.651909

    31            3.367296            3.410576             .016728            -.043280            -.877901            -.887443
    32            3.091042            3.120529             .015296            -.029487            -.598106            -.598860
    33            2.933857            3.060447             .011724            -.126590           -2.567757           -2.521296
    34            2.884801            2.893928             .016507            -.009128            -.185143            -.186866
    35            3.346389            3.338135             .009558             .008254             .167433             .162920

                                                        SUM OF RESIDUALS       .000000





END OF JOB
RESULTS IN THE FOLLOWING OUTPUT FROM THE PROGRAM:



          **************************************
          *                                    *
          *  EXAMPLE  4  ORIGINATES FROM:      *
          *                                    *
          *  REFERENCE [1],  PAGE 88, 93, FF.  *
          *                                    *
          **************************************







"MODEL"  Y  =  ALFA0  +  ALFA1 * X






"INPUT"  5 * ([X], N, N * [Y])






"OPTIONS" PROCESS SUBMODELS, PRINT DATALIST






"DATA"

      1.000       4.000       1.100        .700       1.800        .400       3.000       5.000       3.000       1.400
      4.900       4.400       4.500       5.000       3.000       7.300       8.200       6.200      10.000       4.000
     12.000      13.100      12.600      13.200      15.000       4.000      18.700      19.700      17.400      17.100
CONTROL INFORMATION
===================

TRANSFORMED VARIABLE
DENOTED BY PARAMETER         MEAN            STANDARD DEVIATION                MINIMUM                  MAXIMUM

 ALFA0                     1.000000                   .000000                 1.000000                 1.000000
 ALFA1                     6.700000                  5.262579                 1.000000                15.000000
 DEP.VAR.                  8.385000                  6.545571                  .400000                19.700000





MULTIPLE CORRELATION COEFFICIENT     .987051    (ADJUSTED    .986326)
================================





PROPORTION OF VARIATION EXPLAINED    .974269    (ADJUSTED    .972840)
=================================





STANDARD DEVIATION OF THE ERROR TERM             1.078736
====================================
REGRESSION PARAMETERS
=====================
                                                                                                    RIGHT  TAIL
PARAMETER                ESTIMATE            STANDARD DEVIATION              F - RATIO              PROBABILITY

 ALFA0                .159483086279             .396807248659                  .161536                  .692478

 ALFA1               1.227689091600             .047026168992               681.549798                  .000000




ANALYSIS OF VARIANCE TABLE
==========================
                                                                                                    RIGHT  TAIL
SOURCE                   DF       SUM OF SQUARES          MEAN SQUARE            F - RATIO          PROBABILITY

---------------------------------------------------------------------------------------------------------------

TOTAL (UNCORRECTED)      20          2220.210000
MEAN                      1          1406.164500
TOTAL (CORRECTED)        19           814.045500
REGRESSION                1           793.099430           793.099430           681.549798              .000000
RESIDUAL                 18            20.946070             1.163671

---------------------------------------------------------------------------------------------------------------

 LACK OF FIT              3             4.252403             1.417468             1.273658              .319196
 PURE ERROR              15            16.693667             1.112911

---------------------------------------------------------------------------------------------------------------


REGRESSION NULL HYPOTHESIS :  ALFA1 = 0





SUBMODELS WITH AS ONLY INDEPENDENT VARIABLE A CONSTANT TERM, ARE NOT PROCESSED    (MESSAGE)





NUMBER OF SUBMODELS NOT PROCESSED :  1





END OF JOB

     **************************
     *                        *
     *  MARTEN VAN GELDEREN   *
     *                        *
     *  MATHEMATISCH CENTRUM  *
     *                        *
     **************************






END OF USERS PROGRAM





NUMBER OF RUNS :  4





END OF MULTREG


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