Question: 3. (Grade Point average): For graduate students, X is ACT test score, Y is GPA. There are 120 students, and their ACT and GPA are

 3. (Grade Point average): For graduate students, X is ACT test

3. (Grade Point average): For graduate students, X is ACT test score, Y is GPA. There are 120 students, and their ACT and GPA are recorded. The data can be found at (data'l'utorialladat). Suppose we predict Y based on X by a simple linear regression model above. (a) Obtain the LSE of g and [3'1 (b) plot the estimated regression function and the data. Does the estimated regres sion appear to t the data well? (c) Obtain a point prediction of GPA for a student with ACT X = 30 (d) What is the change of the mean response when ACT increases by one point? (e) plot the tted residuals 31- against X1: (f) calculate 11:? a

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