Section.1 (Total marks: 5 marks) Data for the following variables for 93 employees of Harris Bank Chicago in 1977 are available in a file named HARRIS7 where: y x beginning salaries in dollars (SALARY) years of schooling at the time of hire (EDUCAT) x2 = number of months of previous work experience (EXPER) x3 = number of months after January 1, 1969, that the individual was hired (MONTHS) x4 indicator variable coded 1 for males and 0 for females (MALES) 1. Estimate the regression of y on x1, x2, x3, and x4 by using SAS EG and show the resulting outputs from SAS EG. 2. Conduct the F test for the overall fit of the regression. State the hypotheses to be tested, the decision rule, the test statistic, and your decision. Use a 5% level of significance. 3. What conclusion can be drawn from the test result in part 2? 4. Is there a difference in salaries, on average, for male and female workers after accounting for the effects of the three other explanatory variables? Use a 5% level of significance to answer this question. State the hypotheses to be tested, the decision rule, the test statistic, and your decision. 5. Is there evidence that Harris Bank discriminated against female employees?