SAT Scores and GPA Narrative

Essay

SAT Scores and GPA Narrative
A university admissions committee was interested in examining the relationship between a student's score on the Scholastic Aptitude Test, x, and the student's grade point average, y, at the end of the student's first year of university. The committee selected a random sample of 25 students and recorded the SAT score and GPA at the end of the first year of university for each student. Use the following output that was generated using statistical software to answer the questions below:
Regression Analysis
The regression equation is
GPA = -1.09 + 0.00349 SAT S = 0.1463 R-Sq = 91.8% R-Sq(adj) = 91.5%
Analysis of Variance Correlations (Pearson)
Correlation of SAT and GPA = 0.958
-Refer to SAT Scores and GPA Narrative. Use the p-value approach to test the usefulness of the linear regression model at the 0.05 level of significance.