\relax \@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}} \newlabel{sec:introduction}{{1}{1}} \@writefile{toc}{\contentsline {section}{\numberline {2}Results}{2}} \@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {mtry=1}}}{2}} \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {mtry=2}}}{2}} \@writefile{lof}{\contentsline {subfigure}{\numberline{(c)}{\ignorespaces {mtry=3}}}{2}} \@writefile{lof}{\contentsline {subfigure}{\numberline{(d)}{\ignorespaces {mtry=4}}}{2}} \@writefile{lof}{\contentsline {subfigure}{\numberline{(e)}{\ignorespaces {mtry=5}}}{2}} \@writefile{lof}{\contentsline {subfigure}{\numberline{(f)}{\ignorespaces {mtry=6}}}{2}} \@writefile{lof}{\contentsline {subfigure}{\numberline{(g)}{\ignorespaces {mtry=7}}}{2}} \@writefile{lof}{\contentsline {subfigure}{\numberline{(h)}{\ignorespaces {mtry=8}}}{2}} \@writefile{lof}{\contentsline {subfigure}{\numberline{(i)}{\ignorespaces {mtry=9}}}{2}} \bibstyle{abbrv} \bibdata{myref} \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces The error percentages for random forests with different number of trees, from 1 to 500. The error rate is pretty much stable after the tree size of $200$, therefore we will use $200$ as the optimum tree size in random forests from now on.}}{3}} \newlabel{fig:error_perc}{{1}{3}} \newlabel{fig:mtry1}{{2(a)}{4}} \newlabel{sub@fig:mtry1}{{(a)}{4}} \newlabel{fig:mtry2}{{2(b)}{4}} \newlabel{sub@fig:mtry2}{{(b)}{4}} \newlabel{fig:mtry3}{{2(c)}{4}} \newlabel{sub@fig:mtry3}{{(c)}{4}} \newlabel{fig:mtry4}{{2(d)}{4}} \newlabel{sub@fig:mtry4}{{(d)}{4}} \newlabel{fig:mtry5}{{2(e)}{4}} \newlabel{sub@fig:mtry5}{{(e)}{4}} \newlabel{fig:mtry6}{{2(f)}{4}} \newlabel{sub@fig:mtry6}{{(f)}{4}} \newlabel{fig:mtry7}{{2(g)}{4}} \newlabel{sub@fig:mtry7}{{(g)}{4}} \newlabel{fig:mtry8}{{2(h)}{4}} \newlabel{sub@fig:mtry8}{{(h)}{4}} \newlabel{fig:mtry9}{{2(i)}{4}} \newlabel{sub@fig:mtry9}{{(i)}{4}} \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Different mtry values and the error rates for random forests consisting at most $200$ trees. The x-axis in every graph is the number of trees and the y-axis is the error rate. Note that all the random forests are usually above $0.2$ error rate, whereas only for the case of $mtry=2$, the error rate can go under $0.2$. Therefore, we will pick up $mtry=1$ as the other optimal parameter.}}{4}} \newlabel{fig:mtrys}{{2}{4}} \@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces The importance of variables with respect to mean decreases in accuracy and Gini index. }}{5}} \newlabel{fig:importance}{{3}{5}} \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces The importance of variables with respect to mean decreases in accuracy and Gini index. }}{5}} \newlabel{fig:importance-order}{{4}{5}}