Moving out of Connecticut is easy. Stopping Connecticut taxes is a different act, and it happens on paper: Connecticut keeps treating you as a resident until the record shows otherwise, and the burden of showing otherwise is on the individual asserting a change of domicile to show the necessary intention existed — intent shown by conduct — declarations are not conclusive when contradicted by it.
Two tests decide it. Cross 183 days with a Connecticut 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 Connecticut, and domicile does the same work. Everything on this page exists to answer one question: if DRS asks, does your record hold?