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Table 3

Best fitting parameter values and χ2 values for various models, discussed in detail in the main text.

c 1 c 2 c 3 c 4 c 5 c 6 c7≡ lnM0 c8≡ σ c9≡ α # D.o.f. χ 2

fduty(z) and free scatter 0.425 0.892 0.219 0.870 -0.283 0.0252 27.5 0.0458 0. (fix) 71 71.6
fduty(z) and 0.25 dex scatter 0.445 0.907 0.195 0.893 -0.291 0.0227 27.6 0.25ln10 (fix) 0. (fix) 72 75.7
fduty(z) and 0.50 dex scatter 0.485 0.936 0.157 0.936 -0.295 0.0148 27.8 0.50ln10 (fix) 0. (fix) 72 81.6
fduty(LX,z), no scatter 0.372 0.820 0.224 0.994 -0.299 0.0319 27.0 0. (fix) 0.306 71 46.9
fduty(LX,z) and free scatter 0.389 0.831 0.201 1.20 -0.389 0.0422 27.3 1.39 0.414 70 43.6

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