Do I really have to go home for the holidays, starting with Christmas?
Why do you plan to refuse to go home?
Because I'm busy doing my college assignments.
It can be tough to travel home when you have a lot of school assignments, but you should make the effort to reunite with your family now and then. If you ignore your family's request to go home, they may think that you aren't making them a priority. This could really upset them.
I will not go home, no one will make me.
No one can make you, but your parents will probably feel sad and hurt if you're not there. However, If you're absolutely buried at school, you could call and explain the situation to them, so they know why you're not going to make it home.