1. The human resources manager of RataCom has hired you to help predict and explain the annual salaries of employees at the company. The dataset DataCom contains details of the data and the data. (30 points) (a) Estimate a multiple linear regression using all the data provided. Ignore the p-values for this question, even if they're large. If needed, use the Engineering Department has the reference group in the model. State your final model from the computer output and write the p-values in parentheses below each coefficient. (b) Interpret the Years Employed and Number Supervised coefficients in one sentence each. (c) Is there a difference in salaries between male and female employees? If so, how much? (d) Compare the salaries of employees in each of the four departments using the regression coefficients and rank order them from the lowest mean salary to the largest mean salary. (e) Using the model, predict the salary for an employee with the following characteristics. Female; Worked in a similar department at another company for 10 years; Years of education after high school is four years from a business school, that is, you will use four as the value for the Years Education variable; Supervises 12 members in her team; Works in Purchasing; Has been at DataCom for five years. (f) Provide an approximate 95% prediction interval for the prediction you obtained in part d and interpret it