It’s always more *efficient* (or at least *as efficient*) to turn it off, but that’s not the primary concern when it comes to one’s home.
Overnight, there’s a minimum temperature below which the occupants will get uncomfortable. Set the thermostat to that level. If the home passively retains enough heat overnight to remain above that level, your energy savings will be identical to turning the heat off entirely.
There’s also a minimum temperature below which damage can occur to plumbing and appliances. When leaving the home for a day or longer, set the thermostat to that level to avoid expensive repairs. Again, if the home passively retains enough heat while you’re away to remain above that level, your energy savings will be identical to turning the heat off entirely.
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