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\begin{document} 

\include{regression}

\subsection{Notes}
\begin{itemize}
\item Fig 8.2 right: this should be a chi-squared distribution with one degree of freedom!
\end{itemize}

\subsection{Linear fits}
\begin{itemize}
\item Polyfit is easy: unique solution! $c x^2$ is also a linear fit.
\item Example for overfitting with polyfit of a high order (=number of data points)
\end{itemize}


\subsection{Non-linear fits}
\begin{itemize}
\item Example that illustrates the Nebenminima Problem (with error surface)
\item You need initial values for the parameter!
\item Example that fitting gets harder the more parameter you have.
\item Try to fix as many parameter before doing the fit.
\item How to test the quality of a fit? Residuals. $\chi^2$ test. Run-test.
\end{itemize}


\end{document}
