Assume I have:
N = 100, 5 continues predictor variables and 1 continues response.
Now I want to find a mapping between predictors and response using multiple linear regression.
Lets assume I know that my 100 samples consist of x subgroups, where for any subgroup I could find a match with very low MSE but for the whole population my MSE would increases drastically.
Is there a standardized way to find out whether these subgroups exist?