Table 3.
Scaling relations involving the CO emission lines.
| Relation ( † ) | Slope | Intercept | Intrinsic scatter | Correlation |
|---|---|---|---|---|
| x, y | β | α | σint | ρ |
| Luminosities | ||||
LIR,  |
0.92 ± 0.01 | −1.55 ± 0.08 | 0.17 ± 0.01 | 0.99 |
LIR,  |
0.94 ± 0.01 | −2.34 ± 0.09 | 0.16 ± 0.01 | 0.99 |
| LIR, R52 | 0.15 ± 0.02 | −2.23 ± 0.28 | 0.17 ± 0.02 | 0.62 |
| Distance from the main sequence | ||||
ΔMS,  /LIR ( ‡ ) |
−0.34 ± 0.13 | −1.84 ± 0.08 | 0.24 ± 0.04 | −0.50 |
ΔMS,  /LIR |
−0.01 ± 0.11 | −2.51 ± 0.07 | 0.33 ± 0.03 | −0.01 |
ΔMS,  /LIR ( ‡ ) |
0.08 ± 0.18 | −3.02 ± 0.11 | 0.18 ± 0.06 | 0.18 |
| ΔMS, R52 ( ‡ ) | 0.23 ± 0.10 | −0.64 ± 0.06 | 0.13 ± 0.03 | 0.55 |
| Drivers of the CO excitation | ||||
| ⟨U⟩, R52 | 0.36 ± 0.05 | −0.95 ± 0.07 | 0.15 ± 0.02 | 0.75 |
| SFE(Z = ZFMR), R52 | 0.37 ± 0.05 | −0.66 ± 0.03 | 0.11 ± 0.03 | 0.88 |
| SFE(Z = Z⊙), R52 | 0.31 ± 0.04 | −0.68 ± 0.03 | 0.11 ± 0.02 | 0.89 |
| SFE(Z = ZFMR ∨ Zsuper), R52 | 0.32 ± 0.04 | −0.69 ± 0.03 | 0.12 ± 0.02 | 0.86 |
| ΣSFR, R52 | 0.16 ± 0.02 | −0.60 ± 0.03 | 0.14 ± 0.02 | 0.82 |
Notes. ( † )The linear regression is applied to log-quantities: log(y) = α + β × log(x). The model accounts for errors on both variables and censored data, adopting the Bayesian approach described in Kelly (2007). Double-censored data are not included. ( ‡ )Fit over our sample at z ∼ 1.3 only.
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