if your part-time income exceeds $4200 for the year then you will not qualify as a dependent. So you would select that you cannot be claimed as a dependent on someone else's return. If that is not true then they may be able to claim you as a dependent and you would select that someone else can claim you.
For review here are the rules for claiming a dependent.
You can be claimed if they paid for more than half of your basic living costs and:
- You lived in their home for the entire year (all 12 months).
- You made less than $4,200 (not including Social Security or welfare).
- You were single. There's a small exception if you were married (if you file jointly only to get a refund of taxes paid, or, if you file separately, neither you nor your spouse has any tax liability).
- You’re a U.S. citizen, U.S. resident alien, U.S. national, or a resident of Canada or Mexico.
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