PLEASE ANSWER ALL QUESTIONS ACCORDINGLY Using a sample of the salaries of professors at a major university, you performe

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PLEASE ANSWER ALL QUESTIONS ACCORDINGLY
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).
1. Based on the multiple linear regression
equation, what is the predicted average salary of female professors
with three years of experience?
2. A particular female professor with six years of
experience currently has a salary of $70,000. What is the residual
in this case?
3. 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?