\section*{ Homework 2:}\label{p1hw2} 
\begin{itemize}
\item Using the commands in the
Mathematica workbook \texttt{M3\_P1\_OtherOFs.nb}, answer the
questions below.
\item The answers should by written in a word-document, named  \texttt{"your last name"\_M3\_HW2.doc}
\item This document should be added as an attachment to the ``Module 3
Homework 2'' submission in WebCT.
\item You may work together with your
fellow group members if you wish, but should submit individual copies
of your work.
\end{itemize}
\begin{enumerate}
\item Find the optimal value of $m$ for this data when using
  $H_4$. Show a plot of $H_4(m)$, along with your
  solution.
\item Find the optimal value(s) of $m$ for this data when using $V_3$,
  $H_3$, and $P_3$.
\item Consider the following data:
\begin{center}
\begin{tabular}{|c|c|}
\hline
\textbf{$x$} & \textbf{$y$}\\\hline
1 & 1.2\\
2 & 0.2\\
3 & 7.5\\
4 & 8.3\\
5 & 3.2\\
\hline
\end{tabular}
\end{center}
Fit the best model of the form $y=mx$ to this data using the distance/objective
function $P_2$. Show a plot of the data together with the optimal
model. Comment on the suitability of the model.
\end{enumerate}
\textbf{Note:} You may download the file \texttt{M3\_P1\_OtherOFs.nb},
from WebCT. 
To ensure that notebook \emph{looks} just like the one your Professor
was using, download the file \texttt{stylesheet.nb} along with \texttt{M3\_P1\_OtherOFs.nb}
