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 ////