As part year-resident you need to assign income to the state you were living in when you earned it. Interest is considered unearned income (interest, dividends, capital gains, social security, and IRA distributions). To allocate Interest income divide the year's interest by 12, and then multiply the figure by the number of months you lived in each state.
For more information please check How do I allocate (split) income for a part-year state return?
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