Based on a Sample of the Salaries of Professors at a Major

Multiple Choice

Based on a sample of the salaries of professors at a major university,you have performed a multiple linear regression relating salary to years of service and gender.The data included information on the following variables. The estimated multiple linear regression model is Salary = 45 + 3(Years) + 4(Gender) + 1(Years) (Gender) .
Using the multiple linear regression equation,what would you estimate the average difference in the salaries of a male professor with 3 years of service and a female professor with 3 years of service to be?

A) $3000
B) $4000
C) $5000
D) $7000