I have noticed this winter that nights without clouds (especially when the 12h before the night where not cloudy) were way colder than the cloudy ones.

It makes sense to me because the clouds can reflect the heat (IR?) earth have accumulated during the day rather than loosing it into the atmosphere (like a kind of blanket). But I could be "swayed" by a confirmation bias here, so here is my question:

Is there a correlation between temperature and cloud, during the night?

I have noticed this winter that nights without clouds (especially when the 12h before the night where not cloudy) were way colder than the cloudy ones.

It makes sense to me because the clouds can reflect the heat (infrared?) earth have accumulated during the day rather than loosing it into the atmosphere (like a kind of blanket). But I could be "swayed" by a confirmation bias here, so here is my question:

Is there a correlation between temperature and cloud, during the night?