Services not covered under § 28-42-4 and performed entirely out of this state, with respect to no part of which contributions are required and paid under an unemployment compensation law of any other state or of the federal government, shall be deemed to be employment subject to chapters 42 — 44 of this title if the individual performing those services is a resident of this state and the director approves the election of the employing unit for whom those services are performed, that the entire service of that individual shall be deemed to be employment subject to those chapters.