Earlier quoted context omitted.
If you want to try it, there are a few data sets kicking around, including a) https://www.kaggle.com/c/house-prices-advanced-regression-te... b) http://www.bis.org/statistics/pp_detailed.htm c) https://archive.ics.uci.edu/ml/datasets/housing If you had a really great model, you might be able to make some money with it--find underpriced (per the model) houses, buy them, and then try to sell them at the model's price.
I imagine it's tricky because value per square foot varies quite a bit in adjoining neighborhoods. And sometimes within a neighborhood. And neighborhoods aren't necessarily well defined geographically. And, some neighborhoods go long periods of time without any houses being listed or sold. So the whole idea of "comparable sales" is shaky.
The quality or rather "reputation" of the assigned public school is probably the best predictor of this variance. The problem is that the school's reputation can diverge from the official grades, so this is difficult to quantify.