# Statistics in R Worksheet

Explanation & Answer length: 3 Questions2 attachmentsSlide 1 of 2

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Q1. In the class we mentioned that for linear models, the LOOCV test error estimate can be obtained as a closed form expression, and there is no need to perform n linear fits for a data set of size n. The goal of this question is for you to obtain that closed-form expression, but don’t worry, I am going to walk you through the steps! To avoid vectors and matrices, we will focus on the simplest linear model possible. Before you start working on this problem, please note that none of the question parts below require long math, and you should be able to perform the calculations within a few lines. In case you started doing too much math, just realize something might be going wrong. (a) We have a dataset as (x1 , y1 ), (x2 , y2 ), . . . , (xn , yn ). Consider fitting a model of the form y = x to this set. By setting up the RSS and

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