People think with Mel Tucker's dismissal at Michigan State University that you can buy your way to victories in getting a new "high profile" football coach. 

There is not one study that backs up that theory. You state "Nick Saban, Lincoln Riley, Ryan Day" and I will state "Rick Neiuhesel, Dan Mullen, Mel Tucker, Charlie Weis, Rich Rodriguez." Football is a zero-sum game. For every winner you spend millions on, there are losers. 

97.1 The Ticket broadcasters are idiots who are bombastic and don't look at the data or reality; they instead buy into anecdotal KoolAid with no data to support their rants. 

It is a gamble to spend money on an activity where there is NO GUARANTEE. The results speak for themselves. Just ask Michigan State.

Here's the graphic and link to the study about who is and who is not most efficient in spending money to win football games.