I'm not going home for all of winter break
Why aren't you going to go home?
I just want to stay at school longer.
I get that you enjoy school a lot. I still think that you should make an effort to see your family, if even for a few hours.
I'm going to go home when I'm ready. Don't worry about me and my life.
It's understandable that you want to stay at school during winter break. However, it would be good of you to at least call your family and check in on them.