A university placement director is interested in the effect that grade point ave

Question

A university placement director is interested in the effect that grade point average (GPA) and the number of university activities listed on the resume might have on the starting salaries of this year's graduating class. He has collected these data for a sample of 10 graduates: Determine the multiple regression equation and interpret the partial regression coefficients. Dave has a 3.6 grade point average and 3 university activities listed on his resume. What would be his estimated starting salary? Determine the 95% prediction interval for the starting salary of the student described in part (b). Determine the 95% confidence interval for the mean starting salary for all students like the one described in part (b). Determine the 95% confidence interval for the population partial regression coefficients, beta_1 and beta_2. Interpret the significance tests in the computer printout. Analyze the residuals. Does the analysis support the applicability of the multiple regression model to these data?

Explanation / Answer

B.) 43.182=24.309+(3.6*3.8416)+(1.6809*3)

C.) fit lwr upr
43.18204 38.83742 47.52666

D.)

SUMMARY OUTPUT Regression Statistics Multiple R 0.907994848 R Square 0.824454643 Adjusted R Square 0.774298827 Standard Error 1.447934087 Observations 10 ANOVA df SS MS F Significance F Regression 2 68.92440816 34.4622 16.4378671 0.00226654 Residual 7 14.67559184 2.096513 Total 9 83.6 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 24.30922449 3.19192249 7.615857 0.00012463 16.7615272 31.8569218 16.7615272 31.8569218 Grade Poit average 3.841632653 1.234172176 3.11272 0.01701625 0.92327919 6.75998611 0.92327919 6.75998611 Number of activities 1.680979592 0.529142199 3.176801 0.01555977 0.42975712 2.93220207 0.42975712 2.93220207

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