\begin{table}%t2
\caption{\label{tab:lxrel}Observed bolometric \mbox{X-ray} luminosity scaling relations.}
%\centerline
{\small \begin{tabular}{lrllrll}
\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}{$R < \Rv$} \\
All \\
\cline{1-1}
$L_1$--$T_1$ & $6.07\pm0.58$ & $2.70\pm0.24$ & $0.663\pm0.116$ &  $7.13\pm1.03$ & $3.35\pm0.32$ & $0.733\pm0.135$ \\ 
$L_1$--$T_3$ & $5.62\pm0.46$ & $2.88\pm0.23$ & $0.525\pm0.097$ &  $6.27\pm0.67$ & $3.42\pm0.27$ & $0.560\pm0.115$ \\ 
$L_1$--$Y_{\rm X}$ & $5.20\pm0.36$ & $0.99\pm0.05$ & $0.384\pm0.060$ & $5.35\pm0.38$ & $1.04\pm0.06$ & $0.383\pm0.061$ \\  
$L_1$--$M_Y$ & $1.81\pm0.13$ & $1.81\pm0.10$ & $^a$\ldots &$1.74\pm0.13$ & $1.96\pm 0.11$ & $^a$\ldots \\
$L_1$--$M_Y$ MB$^b$ & $1.45\pm0.12$ & $1.90\pm0.11$ & $^a$\ldots &$1.38\pm0.12$ & $2.08\pm 0.13$ & $^a$\ldots \\\\ 
Cool core \\
\cline{1-1}
$L_1$--$T_1$ & $11.15\pm2.42$ & $2.71\pm0.48$ & $0.432\pm0.108$ & $12.79\pm3.80$ & $3.15\pm0.63$ & $0.479\pm0.135$ \\
$L_1$--$Y_{\rm X}$ &  $7.71\pm0.58$ & $1.04\pm0.07$ & $0.234\pm0.103$ & $7.84\pm0.65$ & $1.06\pm0.09$ & $0.236\pm0.107$ \\\\
Non-cool core \\
\cline{1-1} 
$L_1$--$T_1$ &  $4.78\pm0.29$ & $2.89\pm0.21$ & $0.267\pm0.058$ & $4.97\pm0.29$ & $3.06\pm0.19$ & $0.285\pm0.068$ \\
$L_1$--$Y_{\rm X}$ &  $4.27\pm0.20$ & $0.96\pm0.05$ & $0.214\pm0.035$ & $4.32\pm0.20$ & $0.98\pm0.05$ & $0.214\pm0.036$ \\\\
Disturbed \\
\cline{1-1} 
$L_1$--$T_1$ &  $4.18\pm0.59$ & $2.49\pm0.56$ & $0.497\pm0.215$ & $5.43\pm2.74$ & $3.19\pm0.78$ & $0.646\pm0.346$ \\
$L_1$--$Y_{\rm X}$ &  $3.72\pm0.27$ & $0.92\pm0.09$ & $0.245\pm0.120$ & $3.85\pm0.32$ & $0.96\pm0.08$ & $0.249\pm0.123$ \\\\
Regular \\
\cline{1-1}
$L_1$--$T_1$ &  $7.26\pm0.86$ & $2.62\pm0.21$ & $0.578\pm0.118$ & $7.97\pm1.28$ & $3.13\pm0.33$ & $0.634\pm0.142$ \\
$L_1$--$Y_{\rm X}$ &  $6.15\pm0.42$ & $0.97\pm0.05$ & $0.302\pm0.058$ & $6.21\pm0.44$ & $1.00\pm0.05$ & $0.303\pm0.059$ \\\\
\hline\\
\multicolumn{1}{c}{} & \multicolumn{6}{c} {$0.15 < R < \Rv$} \\
All \\
\cline{1-1}
$L_2$--$T_2$ & $3.89\pm0.18$ & $2.78\pm0.13$ & $0.269\pm0.055$ & $4.06\pm0.22$ & $2.94\pm0.15$ & $0.279\pm0.059$  \\ 
$L_2$--$T_3$ & $3.31\pm0.16$ & $2.84\pm0.17$ & $0.331\pm0.068$ & $3.48\pm0.21$ & $3.07\pm0.18$ & $0.346\pm0.075$ \\
$L_2$--$Y_{\rm X}$ & $3.05\pm0.07$ & $0.97\pm0.03$ & $0.156\pm0.038$ & $3.06\pm0.07$ & $0.98\pm0.03$ & $0.156\pm0.038$ \\ 
$L_2$--$M_Y$ & $1.09\pm 0.05$ & $1.77\pm0.05$ & $^a$\ldots & $1.08\pm0.04$ & $1.80\pm 0.05$ & $^a$\ldots \\\\
Cool core  \\
\cline{1-1}
$L_2$--$T_2$ & $4.31\pm0.42$ & $2.58\pm0.23$ & $0.242\pm0.110$ & $4.46\pm0.56$ & $2.70\pm0.26$ & $0.247\pm0.113$ \\
$L_2$--$Y_{\rm X}$ & $3.36\pm0.16$ & $0.96\pm0.04$ & $0.144\pm0.098$ & $3.38\pm0.17$ & $0.97\pm0.05$ & $0.145\pm0.098$\\\\
Non-cool core \\
\cline{1-1}
$L_2$--$T_2$ & $3.74\pm0.21$ & $2.89\pm0.18$ & $0.231\pm0.035$ & $3.88\pm0.22$ & $3.02\pm0.19$ & $0.237\pm0.039$ \\
$L_2$--$Y_{\rm X}$ & $2.91\pm0.06$ & $0.97\pm0.03$ & $0.114\pm0.027$ & $2.92\pm0.06$ & $0.98\pm0.03$ & $0.114\pm0.027$  \\\\
Disturbed  \\
\cline{1-1}
$L_2$--$T_2$ & $3.58\pm0.41$ & $2.88\pm0.37$ & $0.295\pm0.080$ & $4.00\pm0.73$ & $3.18\pm0.38$ & $0.312\pm0.090$ \\
$L_2$--$Y_{\rm X}$ & $2.77\pm0.07$ & $0.99\pm0.04$ & $0.111\pm0.096$ & $2.79\pm0.08$ & $0.99\pm0.04$ & $0.111\pm0.096$ \\\\
Regular  \\
\cline{1-1}
$L_2$--$T_2$ & $4.13\pm0.21$ & $2.68\pm0.11$ & $0.225\pm0.070$ & $4.20\pm0.23$ & $2.76\pm0.11$ & $0.231\pm0.075$ \\
$L_2$--$Y_{\rm X}$ & $3.24\pm0.08$ & $0.94\pm0.02$ & $0.115\pm0.045$ & $3.24\pm0.08$ & $0.94\pm0.02$ & $0.115\pm0.045$   \\
\hline
\end{tabular}}
\medskip
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, $2 \times 10^{14}~M_{\odot}$~keV and $2 \times 10^{14}~M_{\odot}$, 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}).  $^a$~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; $^b$~corrected for Malmquist bias (see Appendix~\ref{sec:surveylx}). $L_1/T_1$: luminosity/temperature interior to~$\Rv$; $L_2/T_2$: luminosity/temperature in the [0.15--1]~$\Rv$ aperture; $T_3$: temperature in the [0.15--0.75]~$\Rv$ aperture; $M_Y$: mass measured from the $M_{500}{-}Y_{\rm X}$ relation of \citet{app07}. 
\end{table}