There absolutely is, however, $5k is pretty minimal so I’m not sure it’s measurable in this case.
In general, with a bit of a lag, when people can borrow more because of low interest rates, house prices shoot up. When people can borrow less, house sales plummet (people don’t tend to sell when they can’t get what they paid for it, so sales fall instead as people stay put - though prices will fall a bit as some people will still need to sell but buyers won’t have much to choose from so they don’t fall back to where they were).
Stuff had a good article on this a while back (perhaps 2 or 3 years) where they compared I think average mortgage payments based on average interest rates for average houses each year going back 20 or 30 years, and I think it was adjusted for average wages as well. But do you think I can find it? Of course not.