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Table 8

Results of the three-parameter correlation for L0.1−100 GeV, SFR, and M in our sample.

r p a b c σ δ
Clouds

0.976 ~ 10−5 0.13

Galaxies

0.998 ~ 10−8 0.11

Notes. r is the Pearson correlation coefficient, and p is the chance probability. We model the three-parameter correlation using the form log Lγ = a + blog(SFR) + clog(M). σ is introduced to accommodate intrinsic scatter and measurement errors. δ is the dispersion of a regression model with standard deviation of from Lγ, where r marks the Lγ value derived from the regression model. The coefficients of a,  b,  c, and σ are constrained simultaneously by maximizing the joint likelihood function.

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