I am new to nonparametric regressions. What tests should one perform to choose a non-parametric regression model over a parametric one(Or vice versa)? Let's assume in our analysis we have a continuous dependent variable Y and regressors - X1 which is categorical and X2, which is continuous. We then perform a a simple linear regression for the parametric model and then run the nonparametric regression.
What should be tested if both regressors look significant and with reasonable coefficients?
EDIT: The nonparametric model here in particular is "Local Constant Kernel Regression"