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The following problem description is for questions 15-17. Using a sample of the salaries of professors at a major university, you performed a multiple linear regression relating salary to years of service and gender. The following variables were considered: Salary Salary in thousands of dollars Years Years of service Gender male is the reference The final multiple linear regression model is Salary = 45 + 6(Years) + 5 (Gender) + 1 (Years) (Gender). 15. Based on the multiple linear regression equation, what is the predicted average salary of female professors with three years of experience? $53,000 $54,000 $71,000 $73,000
16. A particular female professor with six years of experience currently has a salary of $70,000. What is the residual in this case? -$11,000 -$22,000 $3,000 $9,000
17. What is your estimate of the average difference in the salaries of a male professor with three years of service compared to a female professor with the same years of service?
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