\begin{table}%t6 \caption{\label{pearsonvimos_integral}Linear Pearson correlation coefficients $r$ and linear fits for all C1 and C2~LIRGs and ULIRGs.} %%\centering \par \begin{tabular}{ccccccccccccc} \hline \hline \noalign{\smallskip} Group & \multicolumn{2}{c}{[N~\textsc{ii}]$\lambda$6584/H$\alpha$} & \multicolumn{2}{c}{[S~\textsc{ii}]$\lambda$6717,6731/H$\alpha$} & \multicolumn{2}{c}{[O~\textsc{i}]$\lambda$6300/H$\alpha$}\\ & $r$ & A+Bx & $r$ & A+Bx & $r$ & A+Bx \\ \hline ULIRGs MAC06 & 0.61 & --1.99 + 0.82 x & 0.51 & --1.36 + 0.50 x & 0.71 & --3.15 + 1.11 x\\ LIRGs C1+C2 & 0.38 & --0.96 + 0.35 x & 0.41 & --1.09 + 0.36 x & 0.45 & --2.74 + 0.79 x\\ \hline \end{tabular} \vspace*{5mm} \end{table}