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Table 5.

Rmol (log10(y)) scaling relations and correlation coefficients (ρ) for the discussed physical quantities Σgas, ΣSFR, Σ*, Z′(rgal), PDE, and ΣSFR/PDE (log10(x)) for each galaxy (see Figure 9).

log10(x) NGC ρ ⟨ρ⟩ β α p-value Covariance Scatter
or IC correlation coeff. slope intercept intrinsic
(1) (2) (3) (4) (5) (6) (7)
1512 0.12 ± 0.19 0.16 ± 0.14 −0.17 ± 0.11 0.43 −0.01 0.23
4535 0.61 ± 6.50 × 10−10 0.91 ± 0.12 −0.83 ± 0.14 2.89 ×10−11 −8.60 × 10−3 0.08
7496 0.85 ± 3.60 × 10−16 1.80 ± 0.15 −1.90 ± 0.16 2.93 ×10−19 −0.59 0.09
Σgas 1566 0.85 ± 1.60 × 10−38 0.67 1.50 ± 0.08 −2.10 ± 0.10 9.55 × 10−44 −0.03 0.08
1672 0.82 ± 2.90 × 10−29 1.20 ± 0.07 −1.50 ± 0.09 7.02 × 10−34 0.37 0.07
3511 0.72 ± 2.20 × 10−6 1.60 ± 0.24 −2.20 ± 0.23 1.41 × 10−7 0.69 0.10
5068 0.56 ± 7.00 × 10−3 0.97 ± 0.33 −1.40 ± 0.41 8.69 × 10−4 0.90 0.08
1954 0.56 ± 0.01 0.83 ± 0.27 −1.10 ± 0.28 7.13 × 10−3 0.75 0.12
1512 0.63 ± 1.70 × 10−4 0.92 ± 0.19 2.50 ± 0.51 5.70 × 10−5 4.20 0.14
4535 0.63 ± 2.90 × 10−4 0.89 ± 0.28 2.40 ± 0.63 1.90 × 10−3 4.90 0.12
7496 0.74 ± 1.50 × 10−9 0.87 ± 0.12 2.10 ± 0.29 4.98 × 10−10 5.00 0.20
ΣSFR 1566 0.72 ± 3.70 × 10−17 0.72 0.84 ± 0.08 1.90 ± 0.18 1.51 × 10−17 5.10 0.14
1672 0.72 ± 1.00 × 10−13 0.71 ± 0.08 1.60 ± 0.17 4.58 × 10−14 2.50 0.10
3511 0.76 ± 2.50 × 10−6 1.10 ± 0.22 2.50 ± 0.58 1.14 × 10−5 2.90 0.06
5068 −0.14 ± 0.11 −0.13 ± 0.24 −0.51 ± 0.62 0.59 2.20 0.12
1954 0.97 ± 1.10 × 10−11 0.94 ± 0.07 2.00 ± 0.17 8.89 × 10−13 2.30 0.01
1512 0.40 ± 6.90 × 10−4 0.46 ± 0.10 −0.90 ± 0.19 4.92 × 10−5 2.10 0.20
4535 0.77 ± 4.00 × 10−14 0.93 ± 0.08 −1.60 ± 0.15 4.44 × 10−19 0.73 0.05
7496 0.54 ± 6.50 × 10−5 0.79 ± 0.15 −1.30 ± 0.25 2.03 × 10−6 −0.77 0.24
Σ* 1566 0.85 ± 3.40 × 10−31 0.52 1.00 ± 0.05 −2.20 ± 0.10 1.48 × 10−40 1.50 0.08
1672 0.50 ± 9.50 × 10−7 0.60 ± 0.09 −1.20 ± 0.17 2.52 × 10−9 1.20 0.15
3511 0.72 ± 2.60 × 10−6 0.59 ± 0.09 −1.50 ± 0.13 8.92 × 10−8 2.30 0.10
5068 −0.18 ± 0.10 −0.13 ± 0.15 −0.01 ± 0.21 0.37 2.70 0.11
1954 0.10 ± 0.18 0.07 ± 0.14 −0.40 ± 0.22 0.72 2.30 0.17
1512 0.48 ± 0.19 3.60 ± 0.63 −4.10 ± 0.72 1.86 × 10−7 −0.06 0.18
4535 0.65 ± 5.20 × 10−5 2.40 ± 0.28 −2.30 ± 0.29 3.70 × 10−13 −0.12 0.07
7496 0.48 ± 0.01 2.00 ± 0.44 −1.60 ± 0.35 2.13 × 10−5 −0.74 0.26
Z′(rgal) 1566 0.71 ± 5.90 × 10−10 0.48 3.60 ± 0.29 −3.90 ± 0.31 4.32 × 10−24 −0.35 0.14
1672 0.44 ± 6.70 × 10−3 2.00 ± 0.35 −2.30 ± 0.39 1.68 × 10−7 −0.10 0.16
3511 0.74 ± 8.30 × 10−3 2.00 ± 0.28 −2.30 ± 0.23 1.98 × 10−8 0.45 0.09
5068 −0.12 ± 0.28 −0.34 ± 0.60 0.05 ± 0.42 0.55 0.61 0.11
1954 0.25 ± 0.29 0.84 ± 0.66 −0.94 ± 0.52 0.25 0.33 0.16
1512 0.68 ± 0.25 0.65 ± 0.10 −2.40 ± 0.36 3.50 × 10−9 6.90 0.10
4535 0.70 ± 0.28 0.61 ± 0.07 −2.30 ± 0.30 1.04 × 10−12 5.90 0.06
7496 0.91 ± 0.25 1.30 ± 0.10 −5.60 ± 0.43 6.32 × 10−19 4.50 0.08
PDE 1566 0.91 ± 0.24 0.89 0.90 ± 0.04 −4.10 ± 0.17 1.25 ×10−48 9.00 0.04
1672 0.89 ± 0.12 0.68 ± 0.04 −3.00 ± 0.17 2.09 × 10−31 13.00 0.04
3511 0.89 ± 0.32 1.20 ± 0.12 −5.60 ± 0.51 1.48 × 10−12 10.00 0.04
5068 0.33 ± 0.25 0.30 ± 0.26 −1.60 ± 1.10 0.12 11.00 0.05
1954 0.95 ± 0.30 0.95 ± 0.10 −4.40 ± 0.41 1.28 × 10−7 11.00 0.02
1512 0.31 ± 0.07 0.55 ± 0.29 −3.60 ± 1.90 0.06 16.00 0.19
4535 0.72 ± 1.10 × 10−3 1.30 ± 0.35 −8.70 ± 2.40 3.82 × 10−4 18.00 0.11
7496 −0.01 ± 0.06 −0.02 ± 0.28 0.17 ± 1.90 0.97 7.80 0.45
PDE/ΣSFR 1566 0.55 ± 1.40 × 10−8 0.40 0.97 ± 0.15 −6.70 ± 1.10 3.41 × 10−9 18.00 0.20
1672 0.50 ± 3.20 × 10−6 0.71 ± 0.15 −4.70 ± 0.98 2.41 × 10−6 16.00 0.16
3511 0.34 ± 0.07 0.69 ± 0.45 −5.20 ± 3.10 0.10 23.00 0.13
5068 0.46 ± 0.05 0.50 ± 0.26 −3.70 ± 1.80 0.03 25.00 0.09
1954 −0.29 ± 0.08 −1.00 ± 0.90 6.60 ± 6.20 0.21 22.00 0.16

Notes. (1): The IC only applies for IC 1954. (2): The correlation coefficient ρ for individual fits for each galaxy using linmix, see Section 4.9. We perform a Monte Carlo analysis perturbing the x and y data points to get the uncertainty of ρ. (3): The median ρ for all galaxies for each log(x). (4): The slope β of the fit, and (5): The intercept α of the fit. (6): The covariance in the form of Cov(log10(x), log10(y)). (7): The regression intrinsic scatter.

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