Moving out of Minnesota is easy. Stopping Minnesota taxes is a different act, and it happens on paper: Minnesota keeps treating you as a resident until the record shows otherwise.
On the burden of showing otherwise: A domicile once established is presumed to continue until shown otherwise; the department states that a Minnesota domicile continues until action is taken to change it, and that no single factor determines the outcome.
Two tests decide it. Cross 183 days with a Minnesota abode still available and you are taxed as a resident regardless of where you claim to live — and any part of a day counts. Or keep the day count clean but leave the life-pattern evidence pointing at Minnesota, and domicile does the same work. Everything on this page exists to answer one question: if DOR asks, does your record hold?