Your education does not necessarily effect your car insurance. What I mean by this is you are not going to get better or worse coverage based upon what kind of degree you have. However, having an advanced degree can offer you some premium discounts. With one of the carriers I work with they will offer a discount for any degree above a high school diploma. So, if you have a Ph.D, J.D. M.D./D.O. you will receive a greater discount.
I hope this helps.