Here is the abstract to a new NBER by Christopher Avery, Brian Cadman, and Gavin Cassar entitled "Academics vs. Athletics: Career Concerns for NCAA Division I Coaches."
We analyze the promotions and firings of NCAA Division 1 college basketball and college football coaches to assess whether these coaches are rewarded for the academic performance of their players in promotion and retention decisions. We find that an increase in Academic Progress Rate, as measured by the NCAA, for a college team in either sport significantly reduces the probability that the coach is fired at the end of the season. We find little to no evidence that an increase in the Academic Progress Rate enhances the chances of advancement (in the form of outside job offers) for these coaches.