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Table 5

Parameters of the fitted power-laws for the various scaling relationships following the form .

Relation Size variable Full sample Distance-limited sample


(y) (x) A B ρ A B ρ
σv /km s−1 ηRσ 0.89 ± 0.07 0.41 ± 0.01 0.42 0.61 ± 0.05 0.63 ± 0.03 0.45
/ cm −3 ηRσ 514 ± 1 − 0.84 ± 0.02 − 0.72 438 ± 3 − 0.68 ± 0.04 − 0.55
αvir ηRσ 2.91 ± 0.05 − 0.43 ± 0.02 − 0.28 1.41 ± 0.24 − 0.04 ± 0.05 0.04

σv/km s−1 Req 0.84 ± 0.05 0.46 ± 0.01 0.47 0.48 ± 0.02 0.80 ± 0.03 0.59
/ cm −3 Req 497 ± 1 − 0.84 ± 0.02 − 0.68 415 ± 4 − 0.65 ± 0.05 − 0.45
αvir Req 3.10 ± 0.05 − 0.55 ± 0.02 − 0.37 1.72 ± 0.21 − 0.21 ± 0.06 − 0.07

Notes. The fit parameters for the power-law relationships are listed alongside the corresponding Spearman correlation coefficients. We do not explicitly list the Spearman p-values, which are all <10−5. We present the fits for both the full and distance-limited samples of CHIMPS clumps, in addition to showing the relationship as measured against both the scaled intensity-weighted rms radius, ηRσ, and the equivalent radius Req.

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