As a nonresident, you must have made more than your NY standard deduction to be required to file:
2016 standard deductions
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Filing status
Standard deduction amount
(1)Single (and can be claimed as a dependent on another taxpayer's federal return)$ 3,100
(1)Single (and cannot be claimed as a dependent on another taxpayer's federal return)$ 7,950
(2)Married filing joint return$15,950
(3)Married filing separate return$ 7,950
(4)Head of household (with qualifying person)$11,150
(5)Qualifying widow(er) with dependent child$15,950
