If your permanent home is in Michigan (you intend to return there after college), then your time in TN is considered a temporary absence. In this case, you are a full-year resident of Michigan and a non-resident of TN. As a non-resident of TN - Military personnel and full-time students having legal domicile in another state are not required to file.
In the Personal Info (My Info) section, you would indicate that you are a MI resident and that you earned income in another state, TN. Even though TN does not have a state income tax (other than interest and dividends), your resident state (MI) will tax you on all of your income. But, you only need to file the one resident state return (MI).
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Tennessee taxes only interest and dividends It does not tax other kinds of income. So you only need to file a Michigan tax return.