The Salaries dataset contains data from a sample of tenure-track professors and how much money they earn (the salary variable). The number of years that have passed since they were awarded their doctorate is recorded in the yrs. service variable. a. You want to know if the number of years they have held their current position is related to salary. Create the appropriate graph to visualize these variables.
b. Ignoring any potential assumption violations, carry out a linear regression analysis to determine if years of service is a significant predictor of salary. Include all steps for full credit (but you can skip assumption checks).
c. If you were a tenure-track professor, what change in salary would you expect to receive for each year that passes in your current position?