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Table D.1.

2D Scaling relations

Relation Sample UL α β δintr P K Fig.
(1) (2) (3) (4) (5) (6) (7) (9) (10)
MHI,R25Mdust 120 1 0 . 80 0.06 + 0.06 $ 0.80^{+0.06}_{-0.06 } $ 3 . 52 0.04 + 0.04 $ 3.52^{+0.04}_{-0.04 } $ 0 . 37 0.03 + 0.03 $ 0.37^{+0.03}_{-0.03 } $ 0.72 0.60 3
MHI,totMdust 120 1 0 . 77 0.07 + 0.07 $ 0.77^{+0.07}_{-0.07 } $ 3 . 88 0.04 + 0.04 $ 3.88^{+0.04}_{-0.04 } $ 0 . 43 0.03 + 0.04 $ 0.43^{+0.04}_{-0.03 } $ 0.71 0.55 3
MHI,R25M 120 0 0 . 93 0.05 + 0.05 $ 0.93^{+0.05}_{-0.05 } $ 3 . 63 0.03 + 0.03 $ 3.63^{+0.03}_{-0.03 } $ 0 . 29 0.02 + 0.03 $ 0.29^{+0.03}_{-0.02 } $ 0.89 0.65 3
MH2Mdust 120 5 1 . 25 0.06 + 0.06 $ 1.25^{+0.06}_{-0.06 } $ 0 . 08 0.04 + 0.04 $ 0.08^{+0.04}_{-0.04 } $ 0 . 38 0.03 + 0.03 $ 0.38^{+0.03}_{-0.03 } $ 0.86 0.66 3
MgasMdust 120 6 0 . 93 0.04 + 0.04 $ 0.93^{+0.04}_{-0.04 } $ 2 . 87 0.02 + 0.02 $ 2.87^{+0.02}_{-0.02 } $ 0 . 21 0.02 + 0.02 $ 0.21^{+0.02}_{-0.02 } $ 0.86 0.70 3
Mgas,totMdust 120 6 0 . 89 0.05 + 0.05 $ 0.89^{+0.05}_{-0.05 } $ 3 . 25 0.03 + 0.03 $ 3.25^{+0.03}_{-0.03 } $ 0 . 25 0.02 + 0.03 $ 0.25^{+0.03}_{-0.02 } $ 0.85 0.66 3
SFRM 121 0 0 . 69 0.07 + 0.07 $ 0.69^{+0.07}_{-0.07 } $ 6 . 98 0.05 + 0.05 $ -6.98^{+0.05}_{-0.05 } $ 0 . 52 0.04 + 0.04 $ 0.52^{+0.04}_{-0.04 } $ 0.64 0.38
MH2M 121 6 1 . 17 0.07 + 0.07 $ 1.17^{+0.07}_{-0.07 } $ 3 . 03 0.04 + 0.05 $ -3.03^{+0.05}_{-0.04 } $ 0 . 45 0.03 + 0.04 $ 0.45^{+0.04}_{-0.03 } $ 0.84 0.56 4
MH2SFR 121 6 1 . 09 0.08 + 0.08 $ 1.09^{+0.08}_{-0.08 } $ 8 . 74 0.05 + 0.05 $ 8.74^{+0.05}_{-0.05 } $ 0 . 52 0.04 + 0.05 $ 0.52^{+0.05}_{-0.04 } $ 0.74 0.61 4
MH2Mdust 121 6 1 . 26 0.06 + 0.06 $ 1.26^{+0.06}_{-0.06 } $ 0 . 04 0.04 + 0.04 $ 0.04^{+0.04}_{-0.04 } $ 0 . 38 0.03 + 0.04 $ 0.38^{+0.04}_{-0.03 } $ 0.86 0.66 4
MH2MHI,R25 120 0 0 . 94 0.10 0.10 $ 0.94 ^{ 0.10 }_{ 0.10 } $ 0 . 28 0.06 0.06 $ 0.28 ^{ 0.06 }_{ 0.06 } $ 0 . 68 0.05 0.05 $ 0.68 ^{ 0.05 }_{ 0.05 } $ 0.63 0.47 6
MH2/HI,R25M 120 0 0 . 60 0.08 0.09 $ 0.60 ^{ 0.09 }_{ 0.08 } $ 6 . 35 0.05 0.05 $ -6.35 ^{ 0.05 }_{ 0.05 } $ 0 . 56 0.04 0.04 $ 0.56 ^{ 0.04 }_{ 0.04 } $ 0.51 0.25 6
MH2/HI,R25Mdust/⋆ 120 0 0 . 67 0.22 0.22 $ -0.67 ^{ 0.22 }_{ 0.22 } $ 2 . 41 0.06 0.06 $ -2.41 ^{ 0.06 }_{ 0.06 } $ 0 . 64 0.04 0.05 $ 0.64 ^{ 0.05 }_{ 0.04 } $ -0.26 -0.17 6
MH2/MsSFR 121 6 0 . 44 0.07 + 0.07 $ 0.44^{+0.07}_{-0.07 } $ 3 . 15 0.04 + 0.04 $ 3.15^{+0.04}_{-0.04 } $ 0 . 37 0.03 + 0.03 $ 0.37^{+0.03}_{-0.03 } $ 0.47 0.37 7
SFE–M 121 6 0 . 53 0.07 + 0.07 $ -0.53^{+0.07}_{-0.07 } $ 3 . 37 0.04 + 0.04 $ -3.37^{+0.04}_{-0.04 } $ 0 . 41 0.03 + 0.04 $ 0.41^{+0.04}_{-0.03 } $ -0.57 -0.38 7

SFRSEDMH2 85 0 0 . 58 0.06 + 0.06 $ 0.58^{+0.06}_{-0.06 } $ 5 . 02 0.05 + 0.05 $ -5.02^{+0.05}_{-0.05 } $ 0 . 41 0.03 + 0.04 $ 0.41^{+0.04}_{-0.03 } $ 0.73 0.61 B.1
SFRFUV+24μmMH2 85 0 0 . 56 0.05 + 0.05 $ 0.56^{+0.05}_{-0.05 } $ 4 . 99 0.04 + 0.04 $ -4.99^{+0.04}_{-0.04 } $ 0 . 37 0.03 + 0.03 $ 0.37^{+0.03}_{-0.03 } $ 0.78 0.64 B.1
SFR160μmMH2 85 0 0 . 76 0.04 + 0.04 $ 0.76^{+0.04}_{-0.04 } $ 6 . 50 0.03 + 0.03 $ -6.50^{+0.03}_{-0.03 } $ 0 . 24 0.02 + 0.03 $ 0.24^{+0.03}_{-0.02 } $ 0.89 0.77 B.1

Notes. Scaling relations: best-fit parameters and correlation coefficients. Columns: (1) Scaling relation; (2) Total number of objects with available atomic and/or molecular gas measurements; (3) Number of detection of the corresponding gas measurements; (4), (5) and (6) Best-fit parameters, namely slope α, normalization β, and intrinsic dispersion δintr; (7), (8) and (9) Pearson CC and Kendall rank CCs; (10) Reference to figures in the main text (when available). CCs are calculated considering only CO and HI detections.

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