Ming-Yen Cheng, Hau-Tieng Wu, Local Linear Regression on Manifolds and Its Geometric Interpretation, Journal of the American Statistical Association, Vol. 108, No. 504 (December 2013), pp. 1421-1434 ...

We also walk through a step-by-step example of how to conduct polynomial regression and response surface analysis and provide all the tools you will need to do the analyses and graph the results ...