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decuslib20-05
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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
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RIGHT TAIL
SOURCE DF SUM OF SQUARES MEAN SQUARE F - RATIO PROBABILITY
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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
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LACK OF FIT 3 4.252403 1.417468 1.273658 .319196
PURE ERROR 15 16.693667 1.112911
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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
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* *
* MARTEN VAN GELDEREN *
* *
* MATHEMATISCH CENTRUM *
* *
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END OF USERS PROGRAM
NUMBER OF RUNS : 4
END OF MULTREG
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