Question: 18. The scores for two within-term examinations, and ; the current grade point average (GPA), ; and the final exam score, Y, for 20 students

18. The scores for two within-term examinations, and ; the current grade point average (GPA), ; and the final exam score, Y, for 20 students in a business statistics class are listed in Table P-18.

a. Fit a multiple regression model to predict the final exam score from the scores on the within-term exams and GPA. Is the regression significant? Explain.

b. Predict the final exam score for a student with within-term exam scores of 86 and 77 and a GPA of 3.4.

c. Compute the VIFs and examine the t statistics for checking the significance of the individual predictor variables. Is multicollinearity a problem? Explain.

d. Compute the mean leverage. Are any of the observations high leverage points?

e. Compute the standardized residuals. Identify any observation with a large standardized residual. Does the fitted model under- or overpredict the response for these observations?

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