You or your parent's do not need to worry about having any taxes owed when your return is filed next year. Since you are going to be claimed as a dependent on your parent's return and you are an employee with wages reported on a W-2, unless you have wages of over $6,300 for the year you will not have any tax liabilities. So any federal taxes withheld from your wages can be refunded to you when your 2016 return is filed if the wages are less than $6,300.
