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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

***********          TTC4674  //// END OF LIST ////
***********          TTC4674  //// END OF LIST ////

```