This example illustrates some properties of splines. Splines are curves, which are usually required to be continuous and smooth. Splines are usually defined as piecewise polynomials of degree n with ...
Consider a response variable Y that can be predicted by a polynomial function of a regressor variable X. You can estimate , the intercept, , the slope due to X, and , the slope due to X 2, in for the ...
The Annals of Statistics, Vol. 17, No. 4 (Dec., 1989), pp. 1567-1596 (30 pages) A data dependent method of estimating a regression function is proposed here. The model is allowed to be heteroscedastic ...