Table 2: Fit parameters and correlation coefficients. Listed are the Spearman rank-order correlation coefficient $r_{\rm s}$, its corresponding significance $t_{\rm s}$, and the p-value of $r_{\rm s}$, together with results derived from linear regression (Y=mX+b) for the pairs of parameters plotted in Figs. 1-3. Uncertainties of the gradient m and the intercept b are given on a $1\sigma $ level. b' is the intercept if a slope of m = 1 is assumed.

$\log~(Y)$		 $\log~(X)$ m b b' red. $\chi^2$ $r_{\rm s}$ $t_{\rm s}$ p-value
$L_{\rm FIR}$ $L_{\rm 1.4~GHz}$ 0.94 $\pm$ 0.06 +0.85 $\pm$ 0.04 +0.86 0.030 0.97 17.4 <0.0001
$L_{\rm X}$ $L_{\rm 1.4~GHz}$ 0.65 $\pm$ 0.11 $-0.10\pm0.11$ -0.01 0.266 0.74 4.80 0.0001
$L_{\rm X}$ $L_{\rm FIR}$ 0.80 $\pm$ 0.14 $-0.87\pm 0.13$ -0.99 0.243 0.76 5.10 0.0001
$L_{\rm X}$ $L_{\rm H\alpha}$ 0.88 $\pm$ 0.27 $-0.95\pm 0.22$ -1.03 0.370 0.67 3.93 0.0009
$L_{\rm X}$ $L_{\rm B}$ 1.29 $\pm$ 0.29 $-1.12\pm 0.19$ -0.95 0.295 0.71 4.39 0.0003
$L_{\rm X}$ $L_{\rm UV}$ 0.87 $\pm$ 0.22 +0.28 $\pm$ 0.24 +0.40 0.292 0.73 4.66 0.0002
$L_{\rm X}$ ${\it SFR}_{\rm FIR}$ 0.79 $\pm$ 0.15 $-0.58\pm 0.11$ -0.64 0.252 0.76 5.10 0.0001
$L_{\rm X}$ ${\it SFR}_{\rm H\alpha }$ 0.86 $\pm$ 0.27 $-0.07\pm 0.18$ -0.02 0.378 0.64 3.63 0.0018
$L_{\rm X}$ $L_{\rm FIR}/D^{2}_{25}$ 0.73 $\pm$ 0.17 $-1.07\pm 0.19$ -1.32 0.303 0.69 4.16 0.0005
$L_{\rm X}$ $\dot{E}_{\rm A}$ 0.68 $\pm$ 0.12 $-0.47\pm 0.10$ -0.51 0.230 0.78 5.43 <0.0001
$L_{\rm X}$ $M_{\rm dust}$ 0.70 $\pm$ 0.21 $-0.27\pm 0.13$ -0.22 0.386 0.58 3.10 0.0058
$L_{\rm X}$ $M_{\rm H {\sc i}}$ $0.15\pm0.33$ $-0.31\pm 0.22$ +0.09 0.578 0.09 0.39 0.6980
$L_{\rm X}$ $M_{\rm Baryon}$ $0.51\pm0.37$ $-0.66\pm 0.25$ -0.93 0.535 0.29 1.32 0.2022

$L_{\rm X,h}$		 ${\it SFR}_{\rm FIR}$ 0.93 $\pm$ 0.17 $-1.13\pm0.14 $ -1.11 0.189 0.72 3.42 0.0057
$L_{\rm X,h}$ ${\it SFR}_{\rm H\alpha }$ 1.13 $\pm$ 0.22 $-0.31\pm0.15 $ -0.35 0.203 0.71 3.26 0.0075
$L_{\rm X,h}$ $\dot{E}_{\rm A}$ 0.77 $\pm$ 0.21 $-1.12\pm 0.19$ -1.14 0.308 0.69 2.96 0.0144
$L_{\rm X,h}$ $L_{\rm FIR}/D^{2}_{25}$ 0.70 $\pm$ 0.32 $-1.60\pm 0.45$ -1.89 0.449 0.61 2.45 0.0341


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