Carry out a Monte Carlo experiment

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Consider a model where the true data are geneated as follows

Y = 1 + 0.3*X + ε

where X is uniform and ε is distributed as a standard normal random variable independently of X. Assume we are looking at a sample of size n=100 for which we fit a linear regression model and compute the training mean squared error. Carry out a Monte Carlo experiment with M=1000 replications in order to assess the variability and accuracy of the training mean squared error as a measure of fit. Give the standard error that results from your Monte Carlo experiment.

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