\begin{table}%t3
\caption{\label{table:all_correlations}Pearson correlations between planetary and stellar characteristics. 
Significant correlations ($\ge$0.5) are boldfaced.}
\small%\centering
\par
\begin{tabular}{ccccccccccc}
\hline\hline&  $Y^{\star}$ & $\theta$ & ${\rm [Fe/H]}$ & $T_{\rm eff}$ & $R_{\star}$ & $M_{\star}$ & $T_{\rm eq}$ &  $P$ & $R_{\rm p}$ & $M_{\rm p}$ \\\noalign{\smallskip}
\hline $\theta$ & $-0.0046$ & &&&&&&&&\\
${\rm [Fe/H]}$ & $0.0048$ & $0.0560$ &&&&&&&\\
$T_{\rm eff}$ & $-0.0013$ & $-0.1300$ & $-0.0227$ &&&&&&\\
$R_{\star}$ & $0.0006$ & $0.1240$ & $-0.0283$ & {${\bf 0.8103}$} &&&&&\\
$M_{\star}$ & $0.0003$ & $-0.1301$ & $-0.0237$ & {${\bf 0.9359}$} & {${\bf 0.8761}$} &&&&\\
$T_{\rm eq} $ & $0.0006$ & $-0.1411$ & $-0.0013$ & {${\bf 0.7338}$} & {${\bf 0.7605}$} & {${\bf 0.7380}$} &&&\\
 $P$ & $-0.0029$ & $0.4184$ & $0.0068$ & $-0.0304$ & $-0.0280$ & $-0.0303$ & $-0.3990$ &&\\
$R_{\rm p}$ & $0.0015$ & $-0.3038$ & {${\bf -0.5129}$} & {${\bf 0.4833}$} & {${\bf 0.5203}$} & {${\bf 0.5030}$} & {${\bf 0.5191}$} & $-0.1931$ &\\
$M_{\rm p}$ & $-0.0046$ & {${\bf 0.6560}$} & $0.0676$ & $-0.0317$ & $-0.0318$ & $-0.0324$ & $-0.0476$ & $-0.3250$ & $-0.1457$\\
\noalign{\smallskip}\hline\noalign{\smallskip}
\multicolumn{11}{l}{$\star$: Variable $Y$ has value 1 if the planet is observed, 0 if it is simulated.}
\end{tabular}
\end{table}