Table 5.
Coefficients of the scaling relations: y = ax + b (dashed lines in Figs. 20–C.11).
x | y | a | b | ρ | σ | P-value |
---|---|---|---|---|---|---|
log SFR [M⊙ yr−1] | log N.HII≥37 | 0.87 ± 0.04 | 2.83 ± 0.07 | 0.94 | 0.21 | < 0.0005 |
log L(Hα)1 | 0.74 ± 0.06 | 40.03 ± 1.48 | 0.92 | 0.29 | < 0.0005 | |
log ⟨L(Hα)3⟩ | 0.76 ± 0.05 | 39.85 ± 1.42 | 0.94 | 0.24 | < 0.0005 | |
log L(Hα)1/L(Hα) | −0.48 ± 0.11 | −1.63 ± 0.13 | −0.67 | 0.34 | < 0.0005 | |
log L(Hα)3/L(Hα) | −0.44 ± 0.13 | −1.25 ± 0.12 | −0.64 | 0.30 | < 0.0005 | |
α | 0.75 ± 0.20 | −1.22 ± 0.29 | 0.37 | 0.40 | 0.05 | |
Φ* | 1.76 ± 0.17 | 1.49 ± 0.16 | 0.72 | 0.44 | < 0.0005 | |
log Mstar [M⊙] | log N.HII≥37 | 0.85 ± 0.05 | −5.78 ± 0.21 | 0.88 | 0.27 | < 0.0005 |
log L(Hα)1 | 0.73 ± 0.09 | 32.62 ± 2.66 | 0.69 | 0.50 | < 0.0005 | |
log ⟨L(Hα)3⟩ | 0.68 ± 0.10 | 32.89 ± 2.78 | 0.76 | 0.43 | < 0.0005 | |
log L(Hα)1/L(Hα) | −0.46 ± 0.10 | 3.02 ± 0.21 | −0.79 | 0.29 | < 0.0005 | |
log L(Hα)3/L(Hα) | −0.39 ± 0.12 | 2.70 ± 0.16 | −0.80 | 0.25 | < 0.0005 | |
Φ* | 1.63 ± 0.20 | −15.14 ± 1.52 | 0.57 | 0.57 | 0.005 | |
log μSFR [M⊙ yr−1 kpc−2] | log L(Hα)1 | 1.13 ± 0.11 | 41.92 ± 1.92 | 0.60 | 0.49 | < 0.0005 |
log ⟨L(Hα)3⟩ | 1.08 ± 0.12 | 41.66 ± 2.36 | 0.43 | 0.55 | < 0.0005 | |
log L(Hα)≥37/L(Hα) | 0.28 ± 0.21 | 0.55 ± 0.10 | 0.66 | 0.16 | < 0.0005 | |
α | 0.84 ± 0.13 | 0.63 ± 0.29 | 0.76 | 0.23 | < 0.0005 | |
Φ* | 2.15 ± 0.21 | 6.33 ± 0.53 | 0.61 | 0.43 | 0.001 | |
log μstar [M⊙ kpc−2] | log L(Hα)1 | 1.28 ± 0.13 | 29.39 ± 2.20 | 0.39 | 0.53 | 0.002 |
log ⟨L(Hα)3⟩ | 1.22 ± 0.13 | 29.77 ± 2.44 | 0.37 | 0.51 | 0.002 | |
log L(Hα)≥37/L(Hα) | 0.44 ± 0.20 | −3.48 ± 0.19 | 0.39 | 0.22 | 0.002 | |
α | 1.10 ± 0.16 | −9.80 ± 0.79 | 0.63 | 0.26 | 0.001 | |
Φ* | 2.70 ± 0.28 | −19.56 ± 1.92 | 0.61 | 0.36 | 0.001 | |
log SSFR [yr−1] | log L(Hα)≥37/L(Hα) | 0.46 ± 0.18 | 4.37 ± 0.26 | 0.45 | 0.20 | < 0.0005 |
log L(Hα)1/L(Hα) | 1.02 ± 0.12 | 9.50 ± 0.70 | 0.27 | 0.43 | 0.023 | |
log L(Hα)3/L(Hα) | 0.99 ± 0.12 | 9.36 ± 0.66 | 0.46 | 0.32 | 0.001 | |
α | 1.23 ± 0.16 | 10.77 ± 1.26 | 0.49 | 0.27 | 0.01 | |
12 + log (O/H) | log L(Hα)≥37/L(Hα) | −0.68 ± 0.17 | 5.46 ± 0.39 | −0.53 | 0.14 | 0.015 |
log L(Hα)1/L(Hα) | −2.11 ± 0.12 | 16.75 ± 0.82 | −0.85 | 0.13 | < 0.0005 | |
log L(Hα)3/L(Hα) | −1.81 ± 0.11 | 14.53 ± 0.72 | −0.86 | 0.13 | < 0.0005 | |
log G/D | log L(Hα)≥37/L(Hα) | 0.58 ± 0.28 | −1.53 ± 0.19 | 0.59 | 0.09 | 0.04 |
Notes. Bisector fit. The best-fit parameters are given here and shown in the figures only when the probability that the variables are correlated is larger than 95% (p-value of the null hypothesis < 0.05). ρ gives the Spearman correlation coefficient, σ the dispersion in the relations. Relations with L(Hα)≥37, L(Hα)1 are derived for the whole unperturbed sample of 64 objects, those with L(Hα)3 for a sample of 55 objects, with metallicity 39 objects, with the G/D ratio 15 objects, and with the output of the fit of the luminosity function 27 objects, respectively. p-values are derived using the Spearman’s ranked correlation coefficient (Scipy Python package).
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