Regression splines (parametric Smoothing splines (nonparametric Global versus local bases o However,polynomial bases with global representations have undesirable side effects:each observation affects the entire curve,even for c values far from the observation o In previous lectures,we got around this problem with local weighting o In this lecture,we will explore instead an approach based on piecewise basis functions o As we will see,splines are piecewise polynomials joined together to make a singe smooth curve Patrick Breheny STA 621:Nonparametric StatisticsIntroduction Regression splines (parametric) Smoothing splines (nonparametric) Global versus local bases However, polynomial bases with global representations have undesirable side effects: each observation affects the entire curve, even for x values far from the observation In previous lectures, we got around this problem with local weighting In this lecture, we will explore instead an approach based on piecewise basis functions As we will see, splines are piecewise polynomials joined together to make a singe smooth curve Patrick Breheny STA 621: Nonparametric Statistics