I have been working on a set of data which contains information on the width, age, weight of statues and relate them to the price (I am not actually working on that, but I cannot disclose the topic of my work).
I came up with the following regression:
$Price = -9 -width + 4 log10(age) + 8 height$
the minimum-maximum interval for each parameter are:
width = [0,1[ age = [200,4000] height = [0.65,0.89]
My price therefore varies between about 4 and 12.
As the value of the constant is -9, which is of the same order of magnitude as my price range, I am wondering if this regression could be criticized for being to generic, with a lot of the price variation unaccounted for and "hidden" inside the constant.
Am I trying to over interpret my data here? Could my dataset be missing a crucial variable, for example the weight?