Using this same data set and the results for the regression of salary on three explanatory variables

13. Using this same data set and the results for the regression of SALARY on three explanatory variables [x1 - years of schooling at the time of hire (EDUC), x2 - number of months of previous work experience (EXPER), and X3 - number of months after January 1, 1969, that the individual was hired (TIME)], answer the following questions based on Figure 4.9 (Source: Dielman, T.E. Applied Regression Analysis 4th edition. 2005). a) What is the estimated regression equation relating SALARY to EDUC, EXPER, and TIME? b) Conduct the F test for overall fit of the regression. Use a 1% level of significance. State the hypotheses to be tested, the decision rule, the test statistic, and your decision. What conclusion can be drawn from the result of the test? c) Is education linearly related to beginning salary (after taking into account the effect of experience and time)? Perform the hypothesis test necessary to answer this question. State the hypotheses to be tested, the decision rule, the test statistic, and your decision. Use a 1% level of significance