It depends on what "I live and go to college in Florida" really means.
If you were a resident of IL before you "went off" to college in FL, you are still (most likely) an IL resident. This is particularly true if you are still a dependent of IL resident parents and/or you still maintain a IL home address.
Most, college age, college students are still residents of the state they lived in before going to college. You file an IL resident return and pay IL tax on all your income. If you had also worked in another state, and paid tax to that state, IL would give you a credit for the tax paid to that state.
When you worked in a state without an income tax (e.g. Florida), there will be no credit, since there was no FL tax. In other words, having worked in a state without an income tax does not get you out of paying state tax on that income, to your home state.
