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Table 1.

Statistical properties and best-fit relations between the PAH, CO, and IR luminosities.

y − x Sample (N) ρ p-value α β σint [dex] Median
L ( PAH 7.7 ) / L ⊙ − L ′ ( CO ) / K km s − 1 pc 2 $ L(\mathrm{PAH_{7.7}})/L_{\odot}-L\prime{(\rm CO)/\mathrm{K\,km\,s^{-1}\,pc^2}} $ All (86) 0.94 6e-40 1.07 ± 0.04 −0.52 ± 0.36 0.21 ± 0.02 1.40 ± 0.49
L ( PAH 7.7 ) / L ⊙ − L ′ ( CO ) / K km s − 1 pc 2 $ L(\mathrm{PAH_{7.7}})/L_{\odot}-L\prime{(\rm CO)/\mathrm{K\,km\,s^{-1}\,pc^2}} $ No AGN (71) 0.95 1e-37 1.07 ± 0.04 −0.40 ± 0.38 0.19 ± 0.03 1.42 ± 0.45
L ( PAH 7.7 ) / L ⊙ − L ′ ( CO ) / K km s − 1 pc 2 $ L(\mathrm{PAH_{7.7}})/L_{\odot} - L\prime{(\rm CO)/\mathrm{K\,km\,s^{-1}\,pc^2}} $ z >  1 (28) 0.85 8e-9 1.18 ± 0.18 −1.76 ± 1.62 0.19 ± 0.07 1.32 ± 0.40
L(PAH7.7)/L⊙ − L(IR)/L⊙ All (95) 0.94 2e-45 0.84 ± 0.02 0.09 ± 0.23 0.20 ± 0.02 0.022 ± 0.010
L(PAH7.7)/L⊙ − L(IR)/L⊙ No AGN (76) 0.94 5e-36 0.83 ± 0.02 0.31 ± 0.28 0.21 ± 0.02 0.024 ± 0.010
L(PAH7.7)/L⊙ − L(IR)/L⊙ z >  1 (29) 0.85 4e-9 0.81 ± 0.07 0.58 ± 0.80 0.19 ± 0.04 0.018 ± 0.009
L ′ ( CO ) / K km s − 1 pc 2 − L ( IR ) / L ⊙ $ L\prime{(\rm CO)/\mathrm{K\,km\,s^{-1}\,pc^2}}-L(\mathrm{IR})/L_{\odot} $ All (92) 0.92 1e-38 0.82 ± 0.02 0.15 ± 0.29 0.25±0.02 0.017 ± 0.008
L ′ ( CO ) / K km s − 1 pc 2 − L ( IR ) / L ⊙ $ L\prime{(\rm CO)/\mathrm{K\,km\,s^{-1}\,pc^2}}-L(\mathrm{IR})/L_{\odot} $ No AGN (76) 0.94 1e-36 0.80 ± 0.03 0.43 ± 0.32 0.22±0.02 0.017 ± 0.007
L ′ ( CO ) / K km s − 1 pc 2 − L ( IR ) / L ⊙ $ L\prime{(\rm CO)/\mathrm{K\,km\,s^{-1}\,pc^2}}-L(\mathrm{IR})/L_{\odot} $ z >  1 (31) 0.86 5e-10 0.67 ± 0.06 2.15 ± 0.78 0.19±0.04 0.013 ± 0.006

Notes. Columns are, from left to right: pair of parameters (y, x), sample for which the fits are done and its size (N), Pearson correlation factor (ρ) and associated p-value for the log(y)−log(x), slope (α), intercept (β), vertical intrinsic scatter from a linear fit to log(y)=αlog(x)+β (using HyperFit; errors are estimated using the Markov chain Monte Carlo (MCMC) method; σint), and the median and MAD of y/x.

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