Zee, it totally depends on which school you are attending here in Nashville. If you live near Acklen / Hillsboro Village and attend Vandy, you can walk to the grocery store, laundromat and school. Belmont is very nearby so attending there doesn't require a car.
But if you are at TSU, Trevecca, or a state school you might want a car so you can get to more fun areas of town.
I am currently carless, a block from Vandy, and I have a toddler! We're hoping we can make it without a car but the back up plan is to buy a used pick up truck for my hubby.