What should I file for my wife's small income in another state?

My wife has $4500 income from her school which she is studying on her Graduate degree and worked as a student assistant in the meantime.

I am planning to file as Married as Joint so that can get more deduction, but what kind of return should I file for my wife's state? I'm not living in that state, only my wife go to school there. And also, can we don't file it as I only see my wife only pay $8.7 state tax which can be ignored.