I was 15 when I left my family for the first time to join a boarding school and since then I have spent more time away from them than together. The first time I cried when I had to say goodbye. I saw my parents cry for the first time when it was not someone's death! There were days of mixed feelings in the beginning but then slowly I was caught up in school activities and learned to live with the fact. I'm sure it was hard for my family too but they wanted me to pursue the opportunities I had.
If one looks at life as an opportunity to do as many things of interest as possible, then moving away from family can be justified. It always helps to find a strong reason take that step so during the hard moments one can find motivation to keep going and not second guess the decision.
I've seen people who were happy to move out and be on their own, people who were sad that they had to move out and others who continued as if nothing changed. In all these scenarios, however, I've seen people grow into their own person. They learned to live on their own, developed habits and skills.
You may wish to stay local your first two years, then if you feel ready, transfer to another college out of state, or take a semester or year elsewhere (domestic or abroad). Many colleges have "exchange" programs for a semester or a year in your junior year. Then you can return for senior year. I definitely recommend trying something new outside your home state to gain different perspectives, see new areas of the country or the world, and experience different cultures while you are young. It may seem daunting at first but you will find your own way since it's not hard meeting similar aged people when you are college age .