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: EY = 67.871, EX,Y, = 1825.538, Ex? = 16062, EY?= 221.0524 ΣΧ-590, %3D 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.

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