# Descriptive Statistics

Use the Stat_Grades data set to determine the relationships between a student’sshort-form IQ score,previous GPA, and the student’sFinal Examination points.

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a. What are the correlations for each pair of variables? You may use a correlation matrix to show this if you like.

b. What would be the predictedFinal Examination points for a student who has anIQ score of 120 and had a 3.35 GPA using multiple regression?

 Descriptive Statistics Short Form IQ Test Score 115.34 9.967 105 Previous GPA 2.7789 .76380 105

 Correlations Short Form IQ Test Score Previous GPA Short Form IQ Test Score Pearson Correlation 1 .570** Sig. (2-tailed) .000 N 105 105 Previous GPA Pearson Correlation .570** 1 Sig. (2-tailed) .000 N 105 105 **. Correlation is significant at the 0.01 level (2-tailed).

 Descriptive Statistics Mean Std. Deviation N Short Form IQ Test Score 115.34 9.967 105 Final Exam Points 61.48 7.943 105

 Correlations Short Form IQ Test Score Final Exam Points Short Form IQ Test Score Pearson Correlation 1 .363** Sig. (2-tailed) .000 N 105 105 Final Exam Points Pearson Correlation .363** 1 Sig. (2-tailed) .000 N 105 105 **. Correlation is significant at the 0.01 level (2-tailed).

 Descriptive Statistics Mean Std. Deviation N Final Exam Points 61.48 7.943 105 Previous GPA 2.7789 .76380 105

 Correlations Final Exam Points Previous GPA Final Exam Points Pearson Correlation 1 .498** Sig. (2-tailed) .000 N 105 105 Previous GPA Pearson Correlation .498** 1 Sig. (2-tailed) .000 N 105 105 **. Correlation is significant at the 0.01 level (2-tailed).

 Variables Entered/Removeda Model Variables Entered Variables Removed Method 1 Previous GPA, Short Form IQ Test Scoreb . Enter a. Dependent Variable: Final Exam Points b. All requested variables entered.

 Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1 .507a .257 .243 6.912 a. Predictors: (Constant), Previous GPA, Short Form IQ Test Score

 ANOVAa Model Sum of Squares df Mean Square F Sig. 1 Regression 1688.794 2 844.397 17.673 .000b Residual 4873.396 102 47.778 Total 6562.190 104 a. Dependent Variable: Final Exam Points b. Predictors: (Constant), Previous GPA, Short Form IQ Test Score

 Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. 95.0% Confidence Interval for B B Std. Error Beta Lower Bound Upper Bound 1 (Constant) 38.231 8.241 4.639 .000 21.884 54.578 Short Form IQ Test Score .093 .083 .117 1.130 .261 -.071 .258 Previous GPA 4.485 1.080 .431 4.153 .000 2.343 6.626 a. Dependent Variable: Final Exam Points

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