Suppose the average salary of new graduates of law schools (salary) is represented by the following function : log(salary) = 8.34+ .0047 LSAT + 1.038 log(cost) where LSAT is the median LSAT score for the graduating class and cost is the annual cost of attending law school. 1.a How do you interpret the coefficient in front of LSAT? 1b How do you interpret the coefficient in front of log(cost)? 1c If the above function is the true function and a researcher instead ran a regression of log(salary) on only LSAT, do you expect the new coefficient on LSAT to be higher or lower than the true coefficient and why?