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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{New chapter: non-linear fits}
\begin{itemize}
\item Move 8.7 to this new chapter.
\item Example that illustrates the Nebenminima Problem (with error
  surface). Maybe data generate from $1/x$ and fitted with
  $\exp(\lambda x)$ induces local minima.
\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 parameters before doing the fit.
\item How to test the quality of a fit? Residuals. $\chi^2$ test. Run-test.
\item Impoartant box: summary of fit howtos.
\end{itemize}

\subsection{New chapter: linear fits --- generalized linear models}
\begin{itemize}
\item Polyfit is easy: unique solution! $c x^3$ is also a linear fit.
\item Example for \emph{overfitting} with polyfit of a high order (=number of data points)
\end{itemize}


\end{document}
