Question: A professor obtains SAT scores and freshman GPAs for a group of n=15 college students. The SAT scores have a M=580 with SS=22400 and GPA mean of m=3.10 with SS=1.26 and SP=84.

A) Find the regression equation for predicting the GPA from the SAT scores.

B) What %age of variance in GPAs is accounted for by regression equation (compute correlation, r and the r²)

C) Does the regression equation account for a significant portion of variance in GPA? Use alpha=0.05 to evaluate the F ratio.