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Table 6.
Scaling relations and correlation coefficients for the central 20″ ≈ 745 pc of NGC 6946 at 150 pc scale.
| log(y) | log(x) | β | α | ρ | p-value | Scatter | Cov(log(x), log(y)) |
|---|---|---|---|---|---|---|---|
| slope | intercept | Pearson | |||||
| (1) | (2) | ||||||
| ΣSFR | HCN | 1.81 ± 0.13 | −2.52 ± 0.20 | 0.93 ± 6.6E−04 | 9.84E−29 | 0.04 | 9.75 |
| ΣSFR | HCO+ | 1.55 ± 0.11 | −1.91 ± 0.15 | 0.95 ± 1.7E−02 | 5.10E−19 | 0.04 | 8.24 |
| ΣSFR | HNC | 1.52 ± 0.14 | −1.33 ± 0.14 | 0.93 ± 1.1E−02 | 1.40E−18 | 0.07 | 3.30 |
| ΣSFR | CO(1−0) | 2.46 ± 0.22 | −6.56 ± 0.60 | 0.89 ± 2.2E−03 | 7.90E−23 | 0.06 | 112.00 |
| ΣSFR | CO(2−1) | 1.93 ± 0.22 | −4.68 ± 0.54 | 0.80 ± 2.4E−03 | 5.90E−16 | 0.09 | 68.70 |
| HCN/CO(2−1) ∝ fdense | CO(2−1) | 0.23 ± 0.06 | −1.63 ± 0.16 | 0.39 ± 3.4E−04 | 5.07E−04 | 0.01 | 0.01 |
| HCO+/CO(2−1) ∝ fdense | CO(2−1) | 0.44 ± 0.11 | −2.32 ± 0.26 | 0.45 ± 6.5E−04 | 7.68E−04 | 0.03 | 0.02 |
| HNC/CO(2−1) ∝ fdense | CO(2−1) | 0.76 ± 0.13 | −3.49 ± 0.31 | 0.66 ± 8.5E−08 | 3.63E−10 | 0.03 | 0.04 |
| ΣSFR/HCN ∝ SFEdense | CO(2−1) | 0.80 ± 0.22 | −3.24 ± 0.56 | 0.64 ± 2.9E−01 | 1.10E−07 | 0.04 | 0.04 |
| ΣSFR/HCO+ ∝ SFEdense | CO(2−1) | 0.60 ± 0.20 | −2.61 ± 0.52 | 0.54 ± 3.2E−01 | 4.59E−04 | 0.04 | 0.03 |
| ΣSFR/HNC ∝ SFEdense | CO(2−1) | 0.51 ± 0.24 | −2.03 ± 0.62 | 0.42 ± 2.8E−01 | 1.17E−01 | 0.05 | 0.02 |
Notes. (1) We perform a Monte Carlo analysis perturbing the x and y data points to get the uncertainty of ρ. (2) The regression intrinsic scatter.
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