The evidence says that this isn't really clear. Even when one considers educational attainment in various states, the perceived relationship breaks down when one starts looking at voting patterns. For example, from this year's exit polls.
Alright there, Texas sharpshooter. We can all agree polls can't determine logic. If anything, you should be looking more at what kind of policies were protected, and not just political party. Usually someone smart enough to google up some facts can determine who to vote for. Arguing "LOL WE'RE SMARTER THAN THOU" doesn't do much of anything.
It also depends on what degree you're going for, from what I've heard.