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Table 3

Results of the fits of the virial relations.

MBH vs. VP( ⟨ FWHM(Hα) ⟩ , ⟨ L2−10 keV ⟩)

Sample a b N r Prob(r) ϵobs ϵintr
(1) (2) (3) (4) (5) (6) (7) (8)

All 8.032 ± 0.014 1a 37 0.838 9 × 10-11 0.40 0.38
Classical 8.083 ± 0.016 1a 23 0.837 7 × 10-7 0.38 0.37
Pseudo 7.911 ± 0.026 1a 14 0.731 3 × 10-3 0.40 0.38
Allb 8.187 ± 0.021 1.376 ± 0.033 37 0.831 2 × 10-10 0.49 0.48

Notes. Best-fitting parameters of the virial relations (see Eq. (2)) between the MBH = f × Mvir, with f ⟩ = 4.31 (Grier et al. 2013), and the average VP given by the mean FWHM (once the Hβ was converted into Hα) and the mean L2−10 keV (using Eq. (4) to convert L14−195 keV). Columns are (1) sample bulge type; (2) and (3) zero point and slope of the virial relation; (4) number of objects of each sample; (5) and (6) Pearson correlation coefficient with its t-student probability; (7) logarithmic spread of the data on the MBH axis; and (8) intrinsic logarithmic spread of the data on the y-axis as before.

(a)

Fixed value.

(b)

In this sample different virial factors for classical and/or elliptical and pseudo-bulges were used as follows: fCB = 6.3, fPB = 3.2 (Ho & Kim 2014).

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