I want to know if I have data of house prices of an area in time, what mathematical function will best fit it's graph?
Or in other word, what function I could use that in time $t$, $f(t)$ will be a good estimate for house price?
Is it like $f(t) = at + b$, or $f(t) = at^2 + bt + c$, or $f(t) = a\ln(t) + b$, or $f(t) = a\exp(t) + b$ or ...
I know it depends on many things, but please consider that I just want to get a estimate a regression, and coefficients like $a$, $b$, $c$, ... can be found with analyzing some big data of house prices in past few years.