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The estimated regression equation relating university GPA to the student's SAT mathematics score and high-school GPA is developed. A portion of Excel output shows the following. ANOVA df Significance F S MS F Regression 1.7621 ? 0.0001 Residual ? ? Total 9 1.88 Coefficient Standard Error t Stat Intercept H_GPA SAT_math -1.4053 0.4848 0.0235 0.0087 ? 0.0049 0.0011 ? where H_GPA = high-school grade point average, SAT_math = SAT mathematics score. (a) (4 points) Complete the eight missing entries (indicated by ?) in the above table. (b) (3 points) At 5% significance level, is the model significant? (c) (3 points) At 5% significance level, is each independent variable significant? (d) (2 points) Did the estimated regression equation provide a good fit to the data? Explain in one or two sentences.

The estimated regression equation relating university GPA to the student's SAT mathematics score and high-school GPA is developed. A portion of Excel output shows the following. ANOVA df Significance F S MS F Regression 1.7621 ? 0.0001 Residual ? ? Total 9 1.88 Coefficient Standard Error t Stat Intercept H_GPA SAT_math -1.4053 0.4848 0.0235 0.0087 ? 0.0049 0.0011 ? where H_GPA = high-school grade point average, SAT_math = SAT mathematics score. (a) (4 points) Complete the eight missing entries (indicated by ?) in the above table. (b) (3 points) At 5% significance level, is the model significant? (c) (3 points) At 5% significance level, is each independent variable significant? (d) (2 points) Did the estimated regression equation provide a good fit to the data? Explain in one or two sentences.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The estimated regression equation relating university GPA to the student's SAT mathematics score and high-school GPA is developed. A portion of Excel output shows the following. ANOVA df MS Significance F Regression 1.7621 ? ? 0.0001 Residual ? Total 1.88 Coefficient Standard Error t Stat Intercept H_GPA SAT_math -1.4053 0.4848 0.0235 0.0087 0.0049 0.0011 where H_GPA = high-school grade point average, SAT_math = SAT %3D mathematics score. (a) (4 points) Complete the eight missing entries (indicated by ?) in the above table. (b) (3 points) At 5% significance level, is the model significant? (c) (3 points) At 5% significance level, is each independent variable significant? (d) (2 points) Did the estimated regression equation provide a good fit to the data? Explain in one or two sentences.
Transcribed Image Text:The estimated regression equation relating university GPA to the student's SAT mathematics score and high-school GPA is developed. A portion of Excel output shows the following. ANOVA df MS Significance F Regression 1.7621 ? ? 0.0001 Residual ? Total 1.88 Coefficient Standard Error t Stat Intercept H_GPA SAT_math -1.4053 0.4848 0.0235 0.0087 0.0049 0.0011 where H_GPA = high-school grade point average, SAT_math = SAT %3D mathematics score. (a) (4 points) Complete the eight missing entries (indicated by ?) in the above table. (b) (3 points) At 5% significance level, is the model significant? (c) (3 points) At 5% significance level, is each independent variable significant? (d) (2 points) Did the estimated regression equation provide a good fit to the data? Explain in one or two sentences.
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