Interested in the possible relationship between the size of his tip versus the size of the check and the number of diners in the party, a food server has recorded the following for a sample of 8 checks:
a. Determine the multiple regression equation and interpret the partial regression coefficients.
b. What is the estimated freshman GPA for a student who scored 1100 on the SAT exam and had a cumulative class rank of 80%?
c. Determine the 95% prediction interval for the GPA of the student described in part (b).
d. Determine the 95% confidence interval for the mean GPA of all students similar to the one described in part (b).
e. Determine the 95% confidence interval for the population partial regression coefficients, 1 and 2.
f. Interpret the significance tests in the computer printout.
g. Analyze the residuals. Does the analysis support the applicability of the multiple regression model to these data?