\begin{table}%t2
\caption{\label{tab2}Correlation coefficients between the 4~quantities based on the tilt angle and the strength ($S$), amplitude ($A$) and length~($L$) of the same cycle.} 
%\centerline
{ \begin{tabular}{c c c c c c c  c c c c c c c}
\hline\hline \noalign{\smallskip}
& \multicolumn{6}{c}{Mount Wilson} &  \multicolumn{6}{c}{Kodaikanal} \\
Parameter & \multicolumn{2}{c}{$S$} & \multicolumn{2}{c}{$A$} & \multicolumn{2}{c}{$L$} & \multicolumn{2}{c}{$S$} & \multicolumn{2}{c}{$A$} & \multicolumn{2}{c}{$L$} \\
&  $r_{\rm c}$  &  $P$   &  $r_{\rm c}$  &  $P$   &  $r_{\rm c}$  & $P$ &  $r_{\rm c}$  &  $P$   &  $r_{\rm c}$  &  $P$   &  $r_{\rm c}$  &  $P$ \\
\hline\noalign{\smallskip}
$\langle \alpha \rangle$  & $-$0.59 & 0.30 & $-$0.60 & 0.28 & $-$0.29 & 0.64 & $-$0.77 & 0.04  & $-$0.69 & 0.09   & $-$0.58 & 0.17 \\
$\langle \alpha_{\omega} \rangle$         & $-$0.48 & 0.41 & $-$0.48 & 0.41 & $-$0.46 & 0.44 & $-$0.46 & 0.30 & $-$0.66 & 0.11& $0.19$  & 0.68 \\
\hline\noalign{\smallskip}
$\langle \alpha \rangle/\langle \lambda \rangle$    & $-$0.95 & $1\times10^{-3}$ & $-$0.83 & 0.02 & $-$0.40 & 0.37 & $-$0.93 & $2\times10^{-3}$ & $-$0.82 & 0.02        & $-$0.48 & 0.30 \\
$\langle \alpha_{\omega} \rangle/\langle \lambda \rangle$ & $-$0.81 & 0.03 & $-$0.91 & $4 \times 10^{-3}$ & $0.08$ & 0.86 & $-$0.80 & 0.03        & $-$0.91 & $4 \times 10^{-3}$ & $0.03$  & 0.95 \\
\hline                
 \end{tabular}}
\medskip
\tablefoot{Correlation coefficients are represented by $r_{\rm c}$ and the probability that the correlation is due to chance by~$P$ for both the MW and KK~data sets.} 
\vspace*{-2mm}
\end{table}