2. (8pt) The following questions are based on an analysis of the relationship between university academic reputation and salary of professors . 200 Actuni Salaries Full Professors Annual Salary 12041 School's Reputation (a) The regression line has (approximately) estimated exefficients o - 16 and A - 20. What can we say about the increment in salary per 1/2 point in school reputation? (b) The correlation coefficient meprinted with the above plot is r - 0.96. Provide the R for the model and explain what it means. (c) Based on the above model (in a.), what is the predicted mean salary for Duke (to the best of your approximation)? 2 (d) Based on the shove model (in a.), what is the predicted mean salary difference between Notre Dame and South Carolina (to the best of your approximation)