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Table 4

Fit results for the scaling relations.

Relation (Y − X) BCES estimator groups HIFLUGCS (kT>3 keV) all
a b a b a b
LX−M500 BC Y|X 1.66 ± 0.22 –0.03 ± 0.04 1.08 ± 0.21 0.18 ± 0.18 1.39 ± 0.05 -0.12 ± 0.04
LX−M500 Y | X 1.32 ± 0.24 0.04 ± 0.05 1.22 ± 0.21 0.26 ± 0.20 1.40 ± 0.06 0.09 ± 0.05
LX−M500 bisector 1.49 ± 0.20 0.05 ± 0.06 1.49 ± 0.17 0.01 ± 0.16 1.46 ± 0.06 0.06 ± 0.04
LX−M500 orthogonal 1.57 ± 0.24 0.04 ± 0.06 1.61 ± 0.19 –0.10 ± 0.18 1.49 ± 0.06 0.05 ± 0.05
LX−T BC Y | X 2.86 ± 0.29 0.37 ± 0.06 2.55 ± 0.27 0.35 ± 0.10 2.67 ± 0.11 0.34 ± 0.04
LX−T Y | X 2.05 ± 0.32 0.27 ± 0.07 1.91 ± 0.27 0.58 ± 0.11 2.36 ± 0.10 0.38 ± 0.03
LX−T bisector 2.41 ± 0.30 0.32 ± 0.06 2.34 ± 0.16 0.40 ± 0.10 2.49 ± 0.23 0.40 ± 0.09
LX−T orthogonal 2.76 ± 0.43 0.36 ± 0.08 2.78 ± 0.27 0.22 ± 0.11 2.60 ± 0.10 0.33 ± 0.03
M500−T Y | X 1.65 ± 0.07 0.19 ± 0.02 1.62 ± 0.08 0.24 ± 0.04 1.71 ± 0.04 0.20 ± 0.02
Mgas,500−M500 Y | X 1.09 ± 0.08 –0.14 ± 0.02 1.27 ± 0.14 –0.20 ± 0.13 1.22 ± 0.04 –0.16 ± 0.03
Mgas,2500−M2500 Y | X 1.19 ± 0.07 –0.27 ± 0.04 – – – –
M500−YX Y | X 0.60 ± 0.03 –0.03 ± 0.02 0.59 ± 0.03 –0.08 ± 0.05 0.57 ± 0.01 -0.03 ± 0.02
LX−YX Y | X 0.72 ± 0.14 –0.01 ± 0.05 0.75 ± 0.06 0.12 ± 0.06 0.79 ± 0.03 0.06 ± 0.04
fgas,500−T Y | X 0.08 ± 0.12 –0.13 ± 0.02 0.15 ± 0.13 –0.02 ± 0.05 0.32 ± 0.06 –0.10 ± 0.02
fgas,2500−T Y | X 0.21 ± 0.11 –0.32 ± 0.02 – – – –
fgas,500−M Y | X 0.01 ± 0.07 –0.13 ± 0.02 0.03 ± 0.08 0.07 ± 0.08 0.16 ± 0.04 –0.122 ± 0.03
LX−Mgas,500 Y | X 1.02 ± 0.24 0.16 ± 0.07 1.18 ± 0.07 0.24 ± 0.07 1.18 ± 0.04 0.26 ± 0.03

Notes. BC indicates the relations corrected for selection bias. In the last two columns we list the slopes and normalizations derived using all the groups and HIFLUGCS objects.

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