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.


                                     * * * *   M U L T I P L E   R E G R E S S I O N   * * * *

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
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 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
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 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
14:15:21    UCLA OAC                       IBM RS6000       AIX 3.2.5/4.


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