A random sample of 22 students was selected from a class. The goal is to predict GPA (y) from the ACT score (x) using simple linear regression. The following data set was obtained from the sample: EX, = 590, EY, = 67.871, EXY, = 1825.538, EX 2 = 16062, EY 2 - 221.0524 Using the data set: a) Construct a 95% prediction interval on the average GPA of four students whose ACT score is 28. b) Construct a 95% prediction interval for the GPA of an individual student whose ACT score is 28. c) Construct a 95% confidence interval for the mean GPA of students whose ACT score is 28