Following are the results of estimating a multiple linear regression model where

Question

Following are the results of estimating a multiple linear regression model where the dependent variable represents tenure-track CMU faculty members' salaries in 2004-05 and the independent variables are female: a dummy variable; 1 = female, o male years CMU: the number of years that the faculty member has been employed by CMU : CBA: a dummy variable; 1 = faculty member in the College of Business Administration, o-otherwise CCFA: a dummy variable; 1 - faculty member in the College of Communications and Fine Arts, O otherwise. Use the regression results below to answer questions 1-10. SUMMARY OUTPUT Regression Stotistics Multiple R R Square Adjusted R Square Standard Error 0.689304 0.475141 Suae 10471819 13502.68 sS MS Regression Residual Total 4 1.04E+11 26078135375 143.0330479 5.16359E-87 632 1.15E+11 182322447.6 Coefficients t Stat 5963387) 1022.08 58.24 773234 2923E-256 6541.15) 1154.728 -5.664665589 2 2386E-08 805.2356 51.35222 1568063719 475047E-47 19727.06 1650.43 11.95268028 787894-30 Intercept female CMU

Explanation / Answer

We are allowed to do 4 subparts question at a time. Post again for more subparts of question.

1) When the value of all other independent variables are zero, intercept tells us the value of dependent variable.

So, when all are zero, salary is = 59533.87

2) If there is a faculty member in CCFA than salaries would reduce by 4211.21

3) Null: coefficient on dummy 1 is not statistically different from zero

Alt: coefficient on dummy 1 is statistically different from zero

4) at 0.01

p value given is 7.8 * 10^(-30) < 0.01

So, null is rejected

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