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# Multiple Regression Interpretation

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Interpret the following results of multiple regression. Interpret each statistic (b and beta) for each independent variable and the intercept. Provide a complete interpretation using the five-step model of hypothesis testing (25 points).

Regression: The Relationship Between Number of Math Courses Taken, High School Grade Point Average, College Grade Point Average and Score on Stat Final

Variables Entered/Removed(b)

Model Variables Entered Variables Removed Method
1 Number of Math Courses taken, High School Grade Point Average, College Grade Point Average(a) . Enter
a All requested variables entered.
b Dependent Variable: Score on Stat Final

Model Summary

Model R R Square Adjusted R Square Std. Error of the Estimate
1 .898(a) .806 .797 6.117
a Predictors: (Constant), Number of Math Courses taken, High School Grade Point Average, College Grade Point Average

ANOVA(b)

Model Sum of Squares df Mean Square F Sig.
1 Regression 9961.322 3 3320.441 88.733 .000(a)
Residual 2394.914 64 37.421
Total 12356.235 67
a Predictors: (Constant), Number of Math Courses taken, High School Grade Point Average, College Grade Point Average
b Dependent Variable: Score on Stat Final

Coefficients(a)

Model Unstandardized Coefficients Standardized Coefficients t Sig.
B Std. Error Beta
1 (Constant) -8.251 2.882 -2.863 .006
High School Grade Point Average 5.095 1.195 .271 4.263 .000
College Grade Point Average 9.915 1.161 .581 8.540 .000
Number of Math Courses taken 2.901 .679 .261 4.271 .000
a Dependent Variable: Score on Stat Final