CDAA No. 4 - Part Two - Multiple Regression - Initial Data Screening Variables Entered/Removed b Variables Entered GPA in other high school, test, Math test, GPA, High school math GPA a Variables Removed a. All requested variables entered. Method. Enter b. Dependent Variable: Average percentage correct on statistics Page
Summary R R Square Adjusted R Square Std. Error of the Estimate.64 a.390.357 5.860 a. Predictors: (Constant),,,,, Regression Residual Total ANOVA b Sum of Squares df Mean Square F Sig. 509.553 5 308.5.000.000 a 3645.07 94 5.545 38737.760 99 a. Predictors: (Constant),,,,, b. Dependent Variable: Average percentage correct on statistics Page
(Constant) Coefficients a a. Dependent Variable: Average percentage correct on statistics Unstandardized Standardized Coefficients Coefficients Collinearity Statistics B Std. Error Beta t Sig. Tolerance VIF 9.60 7.503.349.78.083.03.344 3.59.00.707.45.030.05.07..5.848.79 6.54 5.8.307 3.3.00.676.478-4.083 6.68 -.053 -.6.543.856.68 -.48 6.389 -.58 -.945.055.979.0 Collinearity Diagnostics a Dimension 3 4 5 6 Index (Constant) test test math GPA GPA 5.940.000.00.00.00.00.00.00.07 4.844.00.46.0.04.0.0.05 9.856.0.0.73.00.0..009 5.785.00.5.04.9.00.0.006 30.98.00.00.3.0.79.7.00 49.07.98.0.00.03.8.57 Eigenvalue Condition a. Dependent Variable: Average percentage correct on statistics Math Variance Proportions GPA in other high school Page 3
Block Entry Multiple Regression Descriptive Statistics Average percentage correct on statistics Mean Std. Deviation N 60.68 9.78 00 47.0 8.830 00 477.60 70.53 00.80.36690 00.83.5779 00 3.040.50 00 Page 4
Correlations Pearson Correlation Sig. (-tailed) N Average percentage correct on statistics Average percentage correct on statistics Average percentage correct on statistics Average percentage correct on statistics Math test test math GPA GPA GPA in other high school.000.530.84.53.058 -.0.530.000.093.536.09 -.0.84.093.000.3.353.03.53.536.3.000.83 -.049.058.09.353.83.000.09 -.0 -.0.03 -.049.09.000..000.034.000.84.08.000..78.000.8.56.034.78..03.000.378.000.000.03..035.35.84.8.000.035..85.08.56.378.35.85. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 Page 5
Variables Entered/Removed b Variables Entered test, Math test a GPA in other high school, GPA, High school math GPA a Variables Removed a. All requested variables entered. Method. Enter. Enter b. Dependent Variable: Average percentage correct on statistics Page 6
Summary Change Statistics R R Square Adjusted R Square Std. Error of the Estimate R Square Change F Change df df Sig. F Change.547 a.99.84 6.733.99 0.680 97.000.64 b.390.357 5.860.09 4.655 3 94.004 a. Predictors: (Constant),, b. Predictors: (Constant),,,,, Regression Residual Total Regression Residual Total ANOVA c Sum of Squares df Mean Square F Sig. 579.96 5789.980 0.680.000 a 757.799 97 79.977 38737.760 99 509.553 5 308.5.000.000 b 3645.07 94 5.545 38737.760 99 a. Predictors: (Constant),, b. Predictors: (Constant),,,,, c. Dependent Variable: Average percentage correct on statistics Page 7
(Constant) (Constant) Coefficients a a. Dependent Variable: Average percentage correct on statistics Unstandardized Standardized Coefficients Coefficients B Std. Error Beta t Sig. -6.596 4.46 -.48.54.5.0.57 6.057.000.038.04.35.586.6 9.60 7.503.349.78.083.03.344 3.59.00.030.05.07..5 6.54 5.8.307 3.3.00-4.083 6.68 -.053 -.6.543 -.48 6.389 -.58 -.945.055 Excluded Variables b Collinearity Partial Statistics Beta In t Sig. Correlation Tolerance.30 a 3.05.003.97.683 -.043 a -.47.639 -.048.87 -.63 a -.937.056 -.94.988 a. Predictors in the : (Constant),, b. Dependent Variable: Average percentage correct on statistics Page 8