\begin{table}%t2 \caption{\label{tab:correlationfits}Correlation properties between $\log$~\lx\ and $\log$~\lmir\ to various subsample populations.} %\centerline { \begin{tabular}{lcccccr} \hline\hline Subsample & $N$ & $\rho_{\cdot z}$ & $a$ & $b$ & $\bar{r}$ & $\sigma_r$\\ (1) & (2) & (3) & (4) & (5) & (6) & (7) \\ \hline {\bf All} & {\bf 42} & {\bf 0.81} & {\bf 0.41$\;\pm\;$0.03} & {\bf 1.11$\;\pm\;$0.04} & {\bf 0.30} & {\bf 0.36}\\ All, excluding CT & 34 & 0.79 & 0.43$\;\pm\;$0.04 & 1.11$\;\pm\;$0.04 & 0.35 & 0.36\\ All Sy~1 & 12 & 0.71 & 0.34$\;\pm\;$0.09 & 1.18$\;\pm\;$0.14 & 0.34 & 0.31\\ All Sy~2 + CT & 27 & 0.77 & 0.40$\;\pm\;$0.06 & 1.40$\;\pm\;$0.11 & 0.25 & 0.38\\ & & & & \\ {\bf Well-resolved} & {\bf 22} & {\bf 0.89} & {\bf 0.19$\;\pm\;$0.05} & {\bf 1.11$\;\pm\;$0.07} & {\bf 0.15} & {\bf 0.23}\\ Well-resolved, excluding CT& 15 & 0.93 & 0.18$\;\pm\;$0.05 & 1.08$\;\pm\;$0.07 & 0.17 & 0.18\\ Less-resolved & 20 & 0.76 & 0.62$\;\pm\;$0.05 & 1.11$\;\pm\;$0.06 & 0.47 & 0.40\\ & & & & \\[-1.5mm] \multicolumn{7}{c}{\underline{Systematic variations}}\\ Well-resolved (Systematic 1$\uparrow$) & 25 & 0.82 & 0.25$\;\pm\;$0.05 & 1.21$\;\pm\;$0.08 & 0.17 & 0.30\\ Well-resolved (Systematic 1$\downarrow$)& 16 & 0.90 & 0.26$\;\pm\;$0.05 & 1.07$\;\pm\;$0.08 & 0.21 & 0.23\\ Well-resolved (Systematic 2) & 22 & 0.83 & 0.22$\;\pm\;$0.05 & 1.09$\;\pm\;$0.07 & 0.16 & 0.27\\ Well-resolved (Systematic 3)$^{\dag}$ & * & * & 1.87$\;\pm\;$0.31 & 1.11$\;\pm\;$0.10 & * & * \\ Well-resolved (Systematic 4) & * & * & 0.15$\;\pm\;$0.05 & 1.02$\;\pm\;$0.07 & * & * \\ All (Systematic 5) & 42 & 0.74 & 0.42$\;\pm\;$0.03 & 1.11$\;\pm\;$0.04 & 0.30 & 0.44\\ Well-resolved (Systematic 5) & 22 & 0.78 & 0.21$\;\pm\;$0.05 & 1.09$\;\pm\;$0.07 & 0.13 & 0.31\\ \hline \end{tabular}} \par \medskip ``CT'' refers to Compton-thick sources. The two solutions likely to be of most interest (see Sect.~\ref{sec:summary}) are written in bold. The final seven rows refer to tests for systematic variations in the correlation; see Sects.~\ref{sec:scale_systematics}--\ref{sec:filter_systematics}. $^\dag$ This test (Systematic 3) is carried out in linear (not log) luminosity space (see Sect.~\ref{sec:errors}). * For Systematics 3 and 4, the subsamples are identical to the main well-resolved sample of 22 sources, and so the parameters marked with a star are identical as well. \end{table}