光滑样条回归及应用研究

The Study on Smooth Spline Regressionand Its Application

摘要: 本文通过介绍非参数估计方法光滑样条回归的模型、算法、案例分析对光滑样条回归进行研究。以R语言中ISLR包中Wage数据集为例，分别运用样条回归和多项式进行实证分析，拟合研究工资与年龄的关系，结果显示样条回归结果优于多项式回归。

Abstract: This paper studies the smooth spline regression by introducing the model, algorithm and the case for analysis of the nonparametric estimation method. Taking the Wage data set in the ISLR package in R language as an example, spline regression and polynomial are respectively used for empirical analysis, and the relationship between Wage and age is fitted. The results show that spline regression results are superior to polynomial regression.