An article included a summary of findings regarding the use of SAT I scores, SAT

Question

An article included a summary of findings regarding the use of SAT I scores, SAT II scores, and high school grade point average (GPA) to predict first-year college GPA. The article states that "among these, SAT II scores are the best predictor, explaining 17 percent of the variance in first-year college grades. GPA was second at 15.6 percent, and SAT I was last at 13.9 percent." If the data from this study were used to fit a least squares line with y = first-year college GPA and x = high school GPA, what would the value of r2 have been?

Explanation / Answer

y = first-year college GPA and x = high school GPA,the value of R2 would be 15.6%. Since the coefficient of determination R2 is the % of variation in the response explained by the predictor in the given regression model.

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