Table 1
Summary of the fitting results for the scaling relations (σ/σ0) = A × (Obs./PObs.)α.
| Scaling law | α | A | σ raw | σ stat | σ int | ρ | R | P Obs. |
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| σSIS − N0.5 Mpc | 0.36 ± 0.05 | 0.96 ± 0.04 | 0.13 ± 0.02 | 0.06 ± 0.01 | 0.11 ± 0.02 | 0.65 | 24% | 10 |
| σSIS − N0.5 Mpc (SARCS only) | 0.24 ± 0.05 | 0.93 ± 0.03 | 0.11 ± 0.01 | 0.08 ± 0.01 | 0.03 ± 0.18 | 0.68 | 24% | 10 |
| σSIS − L0.5 Mpc | 0.45 ± 0.05 | 1.04 ± 0.03 | 0.13 ± 0.01 | 0.07 ± 0.01 | 0.11 ± 0.02 | 0.70 | 24% | 1012 L⊙ |
| σSIS − L0.5 Mpc (SARCS only) | 0.32 ± 0.05 | 0.98 ± 0.03 | 0.10 ± 0.01 | 0.08 ± 0.01 | 0.01 ± 0.40 | 0.76 | 24% | 1012 L⊙ |
|
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| σSIS − N1 Mpc | 0.38 ± 0.05 | 0.94 ± 0.04 | 0.12 ± 0.02 | 0.06 ± 0.01 | 0.10 ± 0.02 | 0.65 | 24% | 20 |
| σSIS − N1 Mpc (SARCS only) | 0.25 ± 0.06 | 0.93 ± 0.04 | 0.11 ± 0.01 | 0.08 ± 0.01 | 0.06 ± 0.12 | 0.68 | 25% | 20 |
| σSIS − L1 Mpc | 0.42 ± 0.06 | 1.10 ± 0.04 | 0.13 ± 0.01 | 0.07 ± 0.01 | 0.11 ± 0.02 | 0.67 | 25% | 2 × 1012 L⊙ |
| σSIS − L1 Mpc (SARCS only) | 0.28 ± 0.06 | 1.02 ± 0.03 | 0.11 ± 0.01 | 0.08 ± 0.01 | 0.01 ± 0.23 | 0.73 | 24% | 2 × 1012 L⊙ |
Notes. Columns are (1) scaling relation; (2) best fit logarithmic slope; (3) best fit normalization; (4–5–6) total, statistic, and intrinsic logarithmic dispersions; (7) Spearman coefficient; (8) relative error on σv using the scaling relation as mass proxy; (9) pivot chosen to normalize the observable (velocity dispersions are normalized by σ0 = 600 km s-1).
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