Percentage of Variance and Regression Analysis

A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n=15 college students. The SAT scores have a meanof M=580 with SS=22,400 and the GPAs have a mean of 3.10 with SS=1.26 and SP=84.

What percentage of the variancein GPAs is accounted for by the regression equation? (Compute the correlation, r, then find r2.)

This solution provides calculations and explanations for questions regarding regression analysis.