\begin{table}%t1 \caption{\label{tabela}Best fit values of the parameters~$\alpha$, $\log A$ and $\beta$ as well as their respective 1$\sigma$ errors. } %\centerline {\small \begin{tabular}{llrrrr} \hline\hline Model & & $w=-1$ & $w=-0.8$ & 2EXP1 & $w=-1.2$ \\ \hline $T_{\rm X}-M$ & $\alpha_{\rm TM}$ & $0.620\pm 0.029$ & $0.604\pm 0.031$ & $0.581\pm 0.033$ & $0.602\pm 0.029$\\ & $\log A_{\rm TM}$ & $0.260\pm 0.005$ & $0.267\pm 0.004$ & $0.271\pm 0.005$ & $0.258\pm 0.005$ \\ & $\beta_{\rm TM}$ & $-0.228\pm 0.020$ & $-0.249\pm 0.017$ & $-0.264\pm 0.023$ & $-0.230\pm 0.023$ \\ %\hline $Y-M$ & $\alpha_{\rm YM}$ & $1.732\pm 0.025$ & $1.730\pm 0.025$ & $1.721\pm 0.022$ & $1.752\pm 0.024$ \\ & $\log A_{\rm YM}$ & $-5.910\pm 0.004$ & $-5.906\pm 0.004$ & $-5.902\pm 0.005$ & $-5.910\pm 0.003$ \\ & $\beta_{\rm YM}$ & $0.128\pm 0.016$ & $0.116\pm 0.016$ & $0.108\pm 0.020$ & $0.135\pm 0.013$ \\ %\hline $Y-T_{\rm mw}$ & $\alpha_{\rm YT}$ & $2.922\pm 0.100$ & $2.902\pm 0.136$ & $2.838\pm 0.072$ & $2.985\pm 0.175 $\\ & $\log A_{\rm YT}$ & $-6.522\pm 0.008$ & $-6.518\pm 0.005$ & $-6.499\pm 0.007$ & $-6.538\pm 0.008$\\ & $\beta_{\rm YT}$ & $0.454\pm 0.036$ & $0.443\pm 0.022$ & $0.430\pm 0.031$ & $0.517\pm 0.036$\\ %\hline $L_{\rm X}-T_{\rm X}$ & $\alpha_{\rm LT}$ & $2.738\pm 0.086$ & $2.691\pm 0.089$ & $2.902\pm 0.099$ & $2.796\pm 0.146$ \\ & $\log A_{\rm LT}$ & $2.602\pm 0.010$ & $2.629\pm 0.007$ & $2.558\pm 0.006$ & $2.589\pm 0.011$ \\ & $\beta_{\rm LT}$ & $0.279\pm 0.063$ & $0.027\pm 0.042$ & $0.270\pm 0.035$ & $0.348\pm 0.070$ \\ %\hline $Y-L_{\rm X}$ & $\alpha_{\rm YL}$ & $1.063\pm 0.028$ & $1.064\pm 0.026$ & $1.076\pm 0.026$ & $1.084\pm 0.037$ \\ & $\log A_{\rm YL}$ & $-6.314\pm 0.005$ & $-6.330\pm 0.004$ & $-6.344\pm 0.005$ & $-6.305\pm 0.006$ \\ & $\beta_{\rm YL}$ & $0.668\pm 0.033$ & $0.890\pm 0.028$ & $0.770\pm 0.034$ & $0.497\pm 0.037$ \\ \hline \end{tabular}} \medskip See text for the redshift ranges in which the linear fit is a good approximation. \par \end{table}