Feedback wouldn't necessarily be very useful. The feedback might be a meaningless number such as '42' in the Hitch Hikers Guide to the Galaxy Deep Thought (which doesn't really explain the result of the question).
There's probably too many rejections to give any feedback. I mean if there were 10,000 to 20,000 groups that applied it would be impossible to send a reason in the email to each group. Besides it all comes down to a numerical rating (sauce for the goose). Kudos to the bird with a golden egg.
Don't sweat the rejection. It's probably very difficult to get accepted to ycombinator. The odds are probably better winning a royal flush or x... than getting accepted to ycombinator. Cudos for the three strikes law....
Actually one thing I would look for is something like the WARF program at university of wisconsin.
I think what you want from a University is a place that help you with your invention. If you have an idea they can help you get a patent (Unlike Andrews) and then you as the inventor can share some of the profit. Not all Universities do that and this is the one thing I would emphasize from a University. This can also help you establish a better record for jobs or startups.