The answer for me was Midland, which apparently means I don't have an accent at all.
I'm torn on this. I'm from Mississippi originally, and I know there are certain words I say where you can really hear the accent. But I've lived in Florida since I was about 8, and overall I really think living here has mitigated my accent a good deal (which makes me a little sad, actually). So maybe the quiz is right - mostly.