Refer to the Georgia Student Survey data file on the text CD. Regress y = college GPA on x = high school GPA.
a. Stating the necessary assumptions, find a 95% confidence interval for the mean college GPA for all University of Georgia students who have high school GPA = 3.6.
b. Find a 95% prediction interval for college GPA of a randomly chosen student having high school GPA = 3.6. Interpret.
c. Explain the difference between the purposes of the intervals in part a and part b.