From what I've seen ... you don't need a degree, but you ABSOLUTELY should take a few business / entrepreneurial courses! You should also have a nice portfolio ... I'm sure that means more to any potential customer than a fancy piece of paper!
I just took a course in "costing your goods" and the instruction said that in the food services industry (bakeries, restaurants, etc) 90% fail in their first year... and 50% of those left will fail before they get to 5 years!
Most of these failures are not due to a bad product, but due to simple mis-management! You need to learn the business end ... I would strongly recommend as a minimum, a costing your goods course, a basic marketing course, and intro to accounting (even if you're going to have an accountant!)
Your local community college will probably offer many of these courses, and most cities have some sort of small business assistance program (which may or may not include financial assistance) which should help you with a business plan, etc.