\chapter{Introduction}
\label{ch:intro}


\section{Problem Statement:}

The objective of this assignment is to solve for the regression solving for the regression coe�cients in a standard linear model, yet
the selection of predictors is not known. In other words, we are given a large number, say $m=10$,, of predictors and we have to select an appropriate subset to obtain the optimal model.
\vspace{.25cm}
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This model selection problem is the main focus of this project.  We will restrict to a smaller problem where the optimal subset is simply the first $n$ predictors,  yet $n$ is unknown.  This reduces the possible number of models from the power set of a finite set with $m,  2^{m}$  elements, to only $m$ possibilities.  


