\begin{table}%tb.2 \caption{\label{tab:lxrelsoft}Observed survey band \mbox{X-ray} luminosity scaling relations for the full \rexcess\ sample. Each set of observables ($L,A$) is fitted with a power law relation of the form $h(z)^n L = C(A/A_0)^{\alpha}$, with $A_0=5$~keV and $2 \times 10^{14}~M_{\odot}$~keV, and $n= -1$, $-9/5$ and $-7/3$ for~$T$, $Y_{\rm X}$ and $M$, respectively. Results are given for the BCES (Y$|$X) and BCES orthogonal fitting methods (see Sect.~\ref{sec:fitting}). The intrinsic natural logarithmic scatter about the best fitting relation in the ln-ln plane is given in each case. } %\centerline {\begin{tabular}{r l l l l l l } \hline \hline \multicolumn{1}{l}{Relation} & \multicolumn{6}{c}{Fitting method} \\ \multicolumn{1}{c}{} & \multicolumn{3}{c}{BCES (Y$|$X)} & \multicolumn{3}{c}{BCES orthogonal} \\ \cline{2-7}\noalign{\smallskip} \multicolumn{1}{c}{} & \multicolumn{1}{c}{$C~(10^{44}$~erg~s$^{-1}$)} & \multicolumn{1}{c}{$\alpha$} & \multicolumn{1}{c }{$\sigma_{\rm ln~L, intrinsic}$ } & \multicolumn{1}{c}{$C~(10^{44}$~erg~s$^{-1}$)} & \multicolumn{1}{c}{$\alpha$} & \multicolumn{1}{c}{$\sigma_{\rm ln~L, intrinsic}$} \\ \hline \\ \multicolumn{1}{c}{} & \multicolumn{6}{c}{$R < \Rv$}\\\\ $L~[0.1-2.4]_1$--$T_1$ & $2.86\pm0.27$ & $2.24\pm0.22$ & $0.665\pm0.119$ & $3.46\pm0.55$ & $3.00\pm0.35$ & $0.757\pm0.144$ \\ $L~[0.5-2]_1$--$T_1$ & $1.77\pm0.17$ & $2.24\pm0.22$ & $0.666\pm0.119$ & $2.14\pm0.34$ & $3.01\pm0.35$ & $0.758\pm0.144$\\ \\ $L~[0.1-2.4]_1$--$Y_{\rm X}$ & $2.52\pm0.18$ & $0.84\pm0.05$ & $0.411\pm0.070$ & $2.60\pm0.20$ & $0.90\pm0.06$ & $0.412\pm0.071$ \\ $L~[0.5-2]_1$--$Y_{\rm X}$ & $1.56\pm0.11$ & $0.84\pm0.06$ & $0.413\pm0.07$ & $1.61\pm0.12$ & $0.90\pm0.06$ & $0.414\pm0.071$ \\\\ $L~[0.1-2.4]_1$--$M_Y$ & $1.03\pm0.08$ & $1.53\pm0.10$ & $^a$\ldots & $0.98\pm0.07$ & $1.71\pm0.12$ & $^a$\ldots \\ $L~[0.1-2.4]_1$--$M_Y$ MB$^b$ & $0.83\pm0.07$ & $1.62\pm0.11$ & $^a$\ldots & $0.78\pm0.07$ & $1.83\pm0.14$ & $^a$\ldots \\ $L~[0.5-2]_1$--$M_Y$ & $0.64\pm0.05$ & $1.53\pm0.10$ & $^a$\ldots & $0.61\pm0.05$ & $1.72\pm0.12$ & $^a$\ldots \\ $L~[0.5-2]_1$--$M_Y$ MB$^b$ & $0.51\pm0.04$ & $1.62\pm0.12$ & $^a$\ldots & $0.48\pm0.04$ & $1.83\pm0.14$ & $^a$\ldots \\ \\ \hline\\ \multicolumn{1}{c}{} & \multicolumn{6}{c} {$0.15 < R < \Rv$} \\\\ $L~[0.1-2.4]_2$--$T_2$ & $1.85\pm0.09$ & $2.32\pm0.13$ & $0.278\pm0.056$ & $1.95\pm0.12$ & $2.52\pm0.16$ & $0.293\pm0.062$ \\ $L~[0.5-2]_2$--$T_2$ & $1.14\pm0.05$ & $2.34\pm0.13$ & $0.276\pm0.056$ & $1.20\pm0.07$ & $2.53\pm0.16$ & $0.291\pm0.062$\\ \\ $L~[0.1-2.4]_2$--$Y_{\rm X}$ & $1.50\pm0.04$ & $0.82\pm0.03$ & $0.174\pm0.044$ & $1.51\pm0.04$ & $0.83\pm0.03$ & $0.175\pm0.044$ \\ $L~[0.5-2]_2$--$Y_{\rm X}$ & $0.92\pm0.02$ & $0.82\pm0.03$ & $0.173\pm0.044$ & $0.93\pm0.03$ & $0.83\pm0.03$ & $0.174\pm0.044$ \\ \\ $L~[0.1-2.4]_1$--$M_Y$ & $0.63\pm0.03$ & $1.49\pm0.05$ & $^a$\ldots & $0.62\pm0.03$ & $1.52\pm0.05$ & $^a$\ldots \\ $L~[0.5-2]_1$--$M_Y$ & $0.39\pm0.02$ & $1.49\pm0.05$ & $^a$\ldots & $0.38\pm0.02$ & $1.53\pm0.05$ & $^a$\ldots \\ \hline \end{tabular}} \medskip $L_1/T_1$: luminosity/temperature interior to $\Rv$; $L_2/T_2$: luminosity/temperature in the $[0.15{-}1]~\Rv$ aperture; $M_Y$: total mass estimated from the $M_{500}{-}Y_{\rm X}$ relation of \citet{app07}. $^a$~Since $M$ is derived from $Y_{\rm X}$, the values of the scatter in the $L$--$M$ relation are identical to those for the $L-Y_{\rm X}$ relation; $^b$~relations corrected for Malmquist bias. \end{table}