id author title date pages extension mime words sentences flesch summary cache txt work_pxefz433avb75cjcc3rayffpc4 Guillaume Rochefort-Maranda Simplicity and model selection 2016 32 .pdf application/pdf 6347 683 69 a data set and explain how we can choose a regression model with an In order to construct a data set, I first define the following function f (x): However, both regressions are different in the sense that a polynomial regression is a parametric model and a kernel regression is a nonparametric Finally, we need to figure out the number of parameters p that will determine the best estimate for f (x) out of all the possible polynomial regression models that can fit the data set. our data set; construct a model; and then compute the square of the difference between our prediction of the removed observation and that observation. values of its adjustable parameters that best fit the data set. As mentioned in section 2.1, both the polynomial and the kernel regression estimates by on the observed data (x, y) can be defined with a linear ./cache/work_pxefz433avb75cjcc3rayffpc4.pdf ./txt/work_pxefz433avb75cjcc3rayffpc4.txt