I would think that the interest rate would have an effect, but someone way back posted a chart that had the ratio of interest rates and housing prices and if I remember right, housing prices were high the same time interest rates were.
That said, I think it’s different now b/c one of the reasons housing went up was the introductory low interest rates. What was it, like at one time I think I saw 3 or 4%?
Anyway, that allowed people to get double the house they ordinarily would’ve gotten and helped spur the increase in home prices. JMO. It stands to reason if the rates go up, the prices will come down.