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Table B.1
Summary of linear fit results for all methods discussed in Appendices B.1 and B.2.
| Fit method | Code | Slope, α | Intercept, β | Intrinsic scatter, σ⊥ ,intr [dex] |
(at pivot velocity  ) |
(in perpend. direction) | |||
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Full α.btfr sample ( ) |
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| Orthogonal ML (no scatter)∗ | this work | 3.75 ± 0.11 | 9.500 ± 0.013 | 0 |
| Orthogonal ML (scatter free) | this work | 4.15 ± 0.23 | 9.493 ± 0.025 | 0.045 ± 0.005 |
| Forward | bces | 3.50 ± 0.18 | 9.498 ± 0.022 | ... |
| Inverse | bces | 4.01 ± 0.23 | 9.498 ± 0.024 | ... |
| Bisector | bces | 3.74 ± 0.18 | 9.498 ± 0.023 | ... |
| Orthogonal | bces | 3.98 ± 0.22 | 9.498 ± 0.023 | ... |
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Low-kurtosis subsample ( ) |
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| Orthogonal ML (no scatter)∗ | this work | 4.13 ± 0.15 | 9.605 ± 0.015 | 0 |
| Orthogonal ML (scatter free) | this work | 4.78 ± 0.33 | 9.593 ± 0.030 | 0.041 ± 0.006 |
| Forward | bces | 3.98 ± 0.25 | 9.601 ± 0.026 | ... |
| Inverse | bces | 4.62 ± 0.29 | 9.601 ± 0.028 | ... |
| Bisector | bces | 4.27 ± 0.23 | 9.601 ± 0.027 | ... |
| Orthogonal | bces | 4.58 ± 0.28 | 9.601 ± 0.028 | ... |
Notes. An asterisk denotes the fiducial fitting method used to derive the parameter values reported in the main body of this article. The triple-dot denotes parameters whose best fit value and error are not reported by the fitting code.
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