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Table 2:

Correlation properties between $\log$ $L_{\rm X}$ and $\log$  $L_{\rm MIR}$ to various subsample populations.
Subsample N $\rho_{\cdot z}$ a b $\bar{r}$ $\sigma _r$
(1) (2) (3) (4) (5) (6) (7)
All 42 0.81 0.41$\;\pm\;$0.03 1.11$\;\pm\;$0.04 0.30 0.36
All, excluding CT 34 0.79 0.43$\;\pm\;$0.04 1.11$\;\pm\;$0.04 0.35 0.36
All Sy 1 12 0.71 0.34$\;\pm\;$0.09 1.18$\;\pm\;$0.14 0.34 0.31
All Sy 2 + CT 27 0.77 0.40$\;\pm\;$0.06 1.40$\;\pm\;$0.11 0.25 0.38
Well-resolved 22 0.89 0.19$\;\pm\;$0.05 1.11$\;\pm\;$0.07 0.15 0.23
Well-resolved, excluding CT 15 0.93 0.18$\;\pm\;$0.05 1.08$\;\pm\;$0.07 0.17 0.18
Less-resolved 20 0.76 0.62$\;\pm\;$0.05 1.11$\;\pm\;$0.06 0.47 0.40
Systematic variations
Well-resolved (Systematic 1$\uparrow$) 25 0.82 0.25$\;\pm\;$0.05 1.21$\;\pm\;$0.08 0.17 0.30
Well-resolved (Systematic 1 $\downarrow$) 16 0.90 0.26$\;\pm\;$0.05 1.07$\;\pm\;$0.08 0.21 0.23
Well-resolved (Systematic 2) 22 0.83 0.22$\;\pm\;$0.05 1.09$\;\pm\;$0.07 0.16 0.27
Well-resolved (Systematic 3)$^{\dag }$ * * 1.87$\;\pm\;$0.31 1.11$\;\pm\;$0.10 * *
Well-resolved (Systematic 4) * * 0.15$\;\pm\;$0.05 1.02$\;\pm\;$0.07 * *
All (Systematic 5) 42 0.74 0.42$\;\pm\;$0.03 1.11$\;\pm\;$0.04 0.30 0.44
Well-resolved (Systematic 5) 22 0.78 0.21$\;\pm\;$0.05 1.09$\;\pm\;$0.07 0.13 0.31
``CT'' refers to Compton-thick sources. The two solutions likely to be of most interest (see Sect. 7) are written in bold. The final seven rows refer to tests for systematic variations in the correlation; see Sects. 5.1-5.3. $^{\dag }$ This test (Systematic 3) is carried out in linear (not log) luminosity space (see Sect. 5.2). * For Systematics 3 and 4, the subsamples are identical to the main well-resolved sample of 22 sources, and so the parameters marked with a star are identical as well.

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