The Prestige dataset contains information about a sample of occupations in Canada from 1971, including the average yearly income (income), the average years of education people in that position have obtained (education), and the percentage of the workforce that are women (women). We want to know if education, women, and their interaction can predict average yearly income for Canadian occupations in this year.

a. Mean center the numeric explanatory variables in this analysis. (1 pt)

b. Build the appropriate linear model and make a residual plot. Which assumption appears to be violated? (2pt)

c. Let's suppose all relevant assumptions have been met. Run the general linear model for this analysis and interpret the main effects that are significant in the context of the problem (you don't need to cite the appropriate statistics). (2pt)

d. What does the interaction term tell you about the effect of years of education on annual income for these occupations? Be specific. (1pt)