The following problem description is for questions 15-17. Using a sample of the

Question

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 in thousands of dollars Years of service Gender 1 if the professor is male 0 if the professor is female The final multiple linear regression model is Salary = 45 + 6(Years) + 7 (Gender + 1 (Years)(Gender). Based on the multiple linear regression equation, what is the predicted average salary of male professors with three years of experience? A. exist53.000 B. exist54,000 C. exist58.000 D. exist73.000 A particular female professor with six years of experience currently has a salary of exist70,000. What is the residual in this case?

Explanation / Answer

Q15) In this Year= 3 and Gender= 1

Salary= 45+6*3+7*1+1*3*1= 73

So Salary will be $73000

Option D is correct

Q16) In this Gender= 0 and year's= 6

Salary = 45+6*6+7*0+1*0= 81

So predicted salary is $81000

So residual = $70000-$81000= -$11000

So residual is -$11000

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