The answer is complicated. For the same amount of insulation, the amount of heat lost is also dependent on temperature. Leaving the house at a lower temperature

The answer is complicated. For the same amount of insulation, the amount of heat lost is also dependent on temperature. Leaving the house at a lower temperature (but still heated, not off!) while you are absent for long periods of time _usually_ is a better approach. Because you are losing heat anyway, the question is just how much. Sure, if you have really amazing insulation(outside of specially engineered buildings you probably don't), the difference may not be significant and you would be right.