Title 'Checking all possible regression models'.
Data list fixed records=1
/1 gpa 1-3 greq 5-7 grev 9-11 mat 13-14 ar 16-18.
begin data
3.2 625 540 65 2.7
4.1 575 680 75 4.5
3.0 520 480 65 2.5
2.6 545 520 55 3.1
3.7 520 490 75 3.6
4.0 655 535 65 4.3
4.3 630 720 75 4.6
2.7 500 500 75 3.0
3.6 605 575 65 4.7
4.1 555 690 75 3.4
2.7 505 545 55 3.7
2.9 540 515 55 2.6
2.5 520 520 55 3.1
3.0 585 710 65 2.7
3.3 600 610 85 5.0
3.2 625 540 65 2.7
4.1 575 680 75 4.5
3.0 520 480 65 2.5
2.6 545 520 55 3.1
3.7 520 490 75 3.6
4.0 655 535 65 4.3
4.3 630 720 75 4.6
2.7 500 500 75 3.0
3.6 605 575 65 4.7
4.1 555 690 75 3.4
2.7 505 545 55 3.7
2.9 540 515 55 2.6
2.5 520 520 55 3.1
3.0 585 710 65 2.7
3.3 600 610 85 5.0
end data.
Regression variables=gpa,greq,grev,mat,ar
/descriptives=mean,stddev,corr,n
/statistics=r,anova,cha,coeff,tol
/dependent=gpa /enter greq
/dependent=gpa /enter grev
/dependent=gpa /enter mat
/dependent=gpa /enter ar
/dependent=gpa /enter greq grev
/dependent=gpa /enter greq mat
/dependent=gpa /enter greq ar
/dependent=gpa /enter grev mat
/dependent=gpa /enter grev ar
/dependent=gpa /enter mat ar
/dependent=gpa /enter greq grev mat
/dependent=gpa /enter greq grev ar
/dependent=gpa /enter greq mat ar
/dependent=gpa /enter grev mat ar
/dependent=gpa /enter greq grev mat ar.
OUTPUT:
22 Dec 99 SPSS for Unix, Release 6.1 (AIX 3.2) Page 1
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
For AIX 3.2.5/4. UCLA OAC SPSS ID 90095
* * * * M U L T I P L E R E G R E S S I O N * * * *
Listwise Deletion of Missing Data
Mean Std Dev Label
GPA 3.313 .600
GREQ 565.333 48.618
GREV 575.333 83.034
MAT 67.000 9.248
AR 3.567 .838
N of Cases = 30
Correlation:
GPA GREQ GREV MAT AR
GPA 1.000 .611 .581 .604 .621
GREQ .611 1.000 .468 .267 .508
GREV .581 .468 1.000 .426 .405
MAT .604 .267 .426 1.000 .525
AR .621 .508 .405 .525 1.000
22 Dec 99 Checking all possible regression models Page 3
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 1 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter GREQ
Variable(s) Entered on Step Number 1.. GREQ
Multiple R .61115 Analysis of Variance
R Square .37350 R Square Change .37350 DF Sum of Squares Mean Square
Adjusted R Square .35113 F Change 16.69283 Regression 1 3.89736 3.89736
Standard Error .48319 Signif F Change .0003 Residual 28 6.53730 .23348
F = 16.69283 Signif F = .0003
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
GREQ .007540 .001846 .611148 1.000000 1.000 4.086 .0003
(Constant) -.949485 1.047077 -.907 .3723
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 4
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
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Equation Number 2 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter GREV
Variable(s) Entered on Step Number 1.. GREV
Multiple R .58145 Analysis of Variance
R Square .33809 R Square Change .33809 DF Sum of Squares Mean Square
Adjusted R Square .31445 F Change 14.30161 Regression 1 3.52782 3.52782
Standard Error .49666 Signif F Change .0008 Residual 28 6.90685 .24667
F = 14.30161 Signif F = .0008
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
GREV .004200 .001111 .581452 1.000000 1.000 3.782 .0008
(Constant) .896672 .645434 1.389 .1757
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 5
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 3 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter MAT
Variable(s) Entered on Step Number 1.. MAT
Multiple R .60423 Analysis of Variance
R Square .36509 R Square Change .36509 DF Sum of Squares Mean Square
Adjusted R Square .34242 F Change 16.10087 Regression 1 3.80961 3.80961
Standard Error .48642 Signif F Change .0004 Residual 28 6.62505 .23661
F = 16.10087 Signif F = .0004
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
MAT .039194 .009768 .604228 1.000000 1.000 4.013 .0004
(Constant) .687366 .660431 1.041 .3069
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 6
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 4 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter AR
Variable(s) Entered on Step Number 1.. AR
Multiple R .62072 Analysis of Variance
R Square .38529 R Square Change .38529 DF Sum of Squares Mean Square
Adjusted R Square .36334 F Change 17.55023 Regression 1 4.02041 4.02041
Standard Error .47862 Signif F Change .0003 Residual 28 6.41425 .22908
F = 17.55023 Signif F = .0003
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
AR .444081 .106004 .620721 1.000000 1.000 4.189 .0003
(Constant) 1.729444 .388047 4.457 .0001
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 7
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 5 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter GREQ GREV
Variable(s) Entered on Step Number 1.. GREV
2.. GREQ
Multiple R .69659 Analysis of Variance
R Square .48524 R Square Change .48524 DF Sum of Squares Mean Square
Adjusted R Square .44711 F Change 12.72585 Regression 2 5.06333 2.53166
Standard Error .44603 Signif F Change .0001 Residual 27 5.37134 .19894
F = 12.72585 Signif F = .0001
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
GREQ .005356 .001928 .434094 .780917 1.281 2.778 .0098
GREV .002733 .001129 .378269 .780917 1.281 2.421 .0225
(Constant) -1.286698 .976521 -1.318 .1987
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 8
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 6 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter GREQ MAT
Variable(s) Entered on Step Number 1.. MAT
2.. GREQ
Multiple R .76355 Analysis of Variance
R Square .58300 R Square Change .58300 DF Sum of Squares Mean Square
Adjusted R Square .55211 F Change 18.87433 Regression 2 6.08344 3.04172
Standard Error .40144 Signif F Change .0000 Residual 27 4.35122 .16116
F = 18.87433 Signif F = .0000
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
GREQ .005976 .001591 .484382 .928761 1.077 3.756 .0008
MAT .030807 .008365 .474943 .928761 1.077 3.683 .0010
(Constant) -2.129377 .927038 -2.297 .0296
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 9
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 7 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter GREQ AR
Variable(s) Entered on Step Number 1.. AR
2.. GREQ
Multiple R .70943 Analysis of Variance
R Square .50330 R Square Change .50330 DF Sum of Squares Mean Square
Adjusted R Square .46650 F Change 13.67918 Regression 2 5.25173 2.62586
Standard Error .43813 Signif F Change .0001 Residual 27 5.18294 .19196
F = 13.67918 Signif F = .0001
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
GREQ .004920 .001943 .398762 .742099 1.348 2.533 .0174
AR .299202 .112642 .418213 .742099 1.348 2.656 .0131
(Constant) -.535229 .962157 -.556 .5826
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 10
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 8 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter GREV MAT
Variable(s) Entered on Step Number 1.. MAT
2.. GREV
Multiple R .70248 Analysis of Variance
R Square .49348 R Square Change .49348 DF Sum of Squares Mean Square
Adjusted R Square .45596 F Change 13.15238 Regression 2 5.14929 2.57464
Standard Error .44244 Signif F Change .0001 Residual 27 5.28538 .19575
F = 13.15238 Signif F = .0001
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
GREV .002861 .001094 .395987 .818761 1.221 2.616 .0144
MAT .028259 .009819 .435648 .818761 1.221 2.878 .0077
(Constant) -.225810 .694771 -.325 .7477
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 11
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* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 9 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter GREV AR
Variable(s) Entered on Step Number 1.. AR
2.. GREV
Multiple R .71798 Analysis of Variance
R Square .51549 R Square Change .51549 DF Sum of Squares Mean Square
Adjusted R Square .47960 F Change 14.36329 Regression 2 5.37898 2.68949
Standard Error .43272 Signif F Change .0001 Residual 27 5.05568 .18725
F = 14.36329 Signif F = .0001
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
GREV .002851 .001059 .394705 .835714 1.197 2.694 .0120
AR .329625 .104835 .460738 .835714 1.197 3.144 .0040
(Constant) .497178 .576516 .862 .3961
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 12
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 10 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter MAT AR
Variable(s) Entered on Step Number 1.. AR
2.. MAT
Multiple R .70166 Analysis of Variance
R Square .49232 R Square Change .49232 DF Sum of Squares Mean Square
Adjusted R Square .45472 F Change 13.09166 Regression 2 5.13722 2.56861
Standard Error .44295 Signif F Change .0001 Residual 27 5.29745 .19620
F = 13.09166 Signif F = .0001
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
MAT .024930 .010449 .384326 .724599 1.380 2.386 .0243
AR .299787 .115247 .419031 .724599 1.380 2.601 .0149
(Constant) .573817 .602981 .952 .3497
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 13
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Equation Number 11 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter GREQ GREV MAT
Variable(s) Entered on Step Number 1.. MAT
2.. GREQ
3.. GREV
Multiple R .78552 Analysis of Variance
R Square .61704 R Square Change .61704 DF Sum of Squares Mean Square
Adjusted R Square .57286 F Change 13.96436 Regression 3 6.43866 2.14622
Standard Error .39204 Signif F Change .0000 Residual 26 3.99601 .15369
F = 13.96436 Signif F = .0000
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
GREQ .004926 .001701 .399215 .775329 1.290 2.896 .0076
GREV .001612 .001060 .223171 .683502 1.463 1.520 .1405
MAT .026119 .008731 .402666 .812902 1.230 2.991 .0060
(Constant) -2.148770 .905406 -2.373 .0253
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 14
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 12 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter GREQ GREV AR
Variable(s) Entered on Step Number 1.. AR
2.. GREV
3.. GREQ
Multiple R .75605 Analysis of Variance
R Square .57161 R Square Change .57161 DF Sum of Squares Mean Square
Adjusted R Square .52218 F Change 11.56393 Regression 3 5.96452 1.98817
Standard Error .41464 Signif F Change .0001 Residual 26 4.47015 .17193
F = 11.56393 Signif F = .0001
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
GREQ .003598 .001950 .291625 .659821 1.516 1.845 .0764
GREV .002190 .001076 .303201 .743056 1.346 2.036 .0520
AR .250205 .109285 .349728 .706120 1.416 2.289 .0304
(Constant) -.873360 .925591 -.944 .3541
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 15
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 13 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter GREQ MAT AR
Variable(s) Entered on Step Number 1.. AR
2.. GREQ
3.. MAT
Multiple R .78115 Analysis of Variance
R Square .61020 R Square Change .61020 DF Sum of Squares Mean Square
Adjusted R Square .56523 F Change 13.56707 Regression 3 6.36725 2.12242
Standard Error .39552 Signif F Change .0000 Residual 26 4.06741 .15644
F = 13.56707 Signif F = .0000
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
GREQ .004917 .001754 .398555 .742099 1.348 2.804 .0094
MAT .024915 .009330 .384106 .724598 1.380 2.670 .0129
AR .155065 .115125 .216744 .578970 1.727 1.347 .1896
(Constant) -1.689019 .970118 -1.741 .0935
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 16
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 14 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter GREV MAT AR
Variable(s) Entered on Step Number 1.. AR
2.. GREV
3.. MAT
Multiple R .75622 Analysis of Variance
R Square .57187 R Square Change .57187 DF Sum of Squares Mean Square
Adjusted R Square .52247 F Change 11.57658 Regression 3 5.96731 1.98910
Standard Error .41451 Signif F Change .0001 Residual 26 4.46735 .17182
F = 11.57658 Signif F = .0001
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
GREV .002317 .001054 .320781 .773094 1.294 2.198 .0371
MAT .018813 .010167 .290025 .670304 1.492 1.850 .0756
AR .242172 .110989 .338500 .684183 1.462 2.182 .0383
(Constant) -.144105 .651990 -.221 .8268
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 17
14:15:21 UCLA OAC IBM RS6000 AIX 3.2.5/4.
* * * * M U L T I P L E R E G R E S S I O N * * * *
Equation Number 15 Dependent Variable.. GPA
Descriptive Statistics are printed on Page 2
Block Number 1. Method: Enter GREQ GREV MAT AR
Variable(s) Entered on Step Number 1.. AR
2.. GREV
3.. MAT
4.. GREQ
Multiple R .80030 Analysis of Variance
R Square .64047 R Square Change .64047 DF Sum of Squares Mean Square
Adjusted R Square .58295 F Change 11.13400 Regression 4 6.68313 1.67078
Standard Error .38738 Signif F Change .0000 Residual 25 3.75153 .15006
F = 11.13400 Signif F = .0000
----------------------------- Variables in the Equation -----------------------------
Variable B SE B Beta Tolerance VIF T Sig T
GREQ .003998 .001831 .324062 .653236 1.531 2.184 .0385
GREV .001524 .001050 .210912 .680518 1.469 1.451 .1593
MAT .020896 .009549 .322145 .663614 1.507 2.188 .0382
AR .144234 .113001 .201604 .576442 1.735 1.276 .2135
(Constant) -1.738107 .950740 -1.828 .0795
End Block Number 1 All requested variables entered.
22 Dec 99 Checking all possible regression models Page 18
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