Table 1.
Fitting results for different relations.
| Relation | a | b | δtot (dex) | δerr (dex) | δint (dex) |
|---|---|---|---|---|---|
| σ2 vs MBH | −0.78 ± 0.11 | 2.76 ± 0.07 | 0.77 | 0.26 | 0.65–0.73 |
| σ2 vs L2 − 10 keV | −0.71 ± 0.08 | 27.64 ± 0.06 | 0.73 | 0.23 | 0.71 |
| σ2 vsvs L5100 Å | −0.57 ± 0.06 | 21.73 ± 0.06 | 0.76 | 0.23 | 0.74 |
| σ2 vs L6200 Å | −0.53 ± 0.15 | 20.02 ± 0.06 | 0.73 | 0.28 | 0.67 |
Notes. The columns represent the slope (a), intercept (b), total scatter (δtot), total uncertainty (δtot), and intrinsic scatter (δint). The intercept b is obtained starting from the b′ value obtained in the fit with mean-subtracted data, as 
. The total error is derived as the quadratic sum of uncertainties on both axes. The intrinsic scatter considers the scatter along the y variable (i.e. along the excess variance) that is in excess of what can be attributed to the uncertainties on the measurements. For the σ2 vs MBH relation, we find a range of 0.65–0.73 dex. This is because when we include the 0.40–0.50 dex scatter that comes from SE mass measurements, we obtain a lower intrinsic scatter of δtrue ∼ 0.65 − 0.68 dex (see Sect. 4).
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