You're parents are legally obligated to care for you however as a minor you are in their custody so you follow their rules except if abuse is involved, of course. I don't know the circumstances. A relative can become you're legal guardian by filing a petition for guardianship with the court. Or if you become independent and self sufficient you may petition the court for emancipation of a minor (freedom from patental control) then they cannot make you come back.
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You parents are responsible for you until you are 18, you become emancipated or someone else adopts you or becomes your legal guardian. If they are not providing you with proper care you could contact CPS or the police. I can't tell from the facts you provided if it has reached a level where CPS or police need to be involved. I would call a few local family attorneys and talk with them. Most will provide a free consultation, especially for a minor, start with them and tell them all the facts and circumstances involved with you situation.
Until you are 18 years of age, your parents are legally obligated to feed, clothe, educate and shelter you. The only reason for you not to live there is, as the other attorneys have said, in an abusive situation.
If they refuse to let you back in the house, you can call the police, because they are under a legal obligation to you. You can call a family law attorney who may be able to help you. Or a trusted adult friend or family member can file guardianship papers and legally take care of you.
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