Table 3: Statistical parameters for the correlation between $E_{\rm p}$ and $S_{\rm p}$.
Data set $r_{\rm lin}$ $p_{\rm lin}$ $r_{\rm log}$ $p_{\rm log}$ $\alpha$ $\alpha_v$ ${\sigma_v}$
XMM 0.63 <0.001 0.71 <0.001 $1.4\pm0.3$ $0.7\pm0.1$ $0.35\pm0.05$
FULL 0.56 <0.001 0.67 <0.001 $1.2\pm0.1$ $0.56\pm0.05$ $0.33\pm0.02$
FULL ( $E_{\rm p}<1.2$) 0.72 <0.001 0.72 <0.001 $1.7\pm0.1$ $0.99\pm0.07$ $0.29\pm0.02$
FULL ( $E_{\rm p}>1.2$) 0.87 0.004 0.84 0.007 $0.6\pm0.1$ $0.43\pm0.08$ $0.13\pm0.03$


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