a: left: linear correlation between the [NeV]14.3 μm and the 2−10 keV X-ray luminosity. Blue squares show the AGN sample, and the shaded area shows the 95% confidence interval for the relation. b: centre: linear correlation between the [NeV]14.3 μm line luminosity and the 19 μm luminosity. c: right: comparison between the [NeV]14.3 μm line luminosity and the BHAR derived from the bolometric corrections by Spinoglio et al. (1995, green solid line), Marconi et al. (2004, red dotted line), and Lusso et al. (2012, blue dashed line).