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A sample of 576 X-ray selected LINERs was constructed by combining data fromthe 3XMM-DR4 and SDSS-DR7 catalogues. The sample was used to investigate thefraction of galaxies hosting a LINER, finding that the fraction is a strongfunction of both stellar mass and black hole mass (scaling to the power of 1.6+/- 0.2 and 0.6 +/- 0.1 respectively) and that it rises close to unity at thehighest black hole masses and lowest X-ray luminosities. After obtaining radioflux densities from the FIRST survey, the sample was also used to investigatethe Fundamental Plane of black hole activity - a scale-invariant relationshipbetween black hole mass, X-ray luminosity and radio luminosity that is believedto hold across at least nine orders of magnitude of mass. There are keyadvantages in using only LINERs for the derivation as these are thecounterparts of the "low-hard" X-ray binaries for which the relationship istightest. The Fundamental Plane was found to be log (L_R / erg/s) = (0.65 +/-0.07) log (L_X / 10^42 erg/s) + (0.69 +/- 0.10) log (M_BH / 10^8 M_solar) +(38.35 +/- 0.10). The scatter around the plane was 0.73 +/- 0.03 dex, too largeto suggest that the Fundamental Plane can be used as a tool to estimate blackhole mass from the observables of X-ray and radio luminosity. The black holemass scaling is sensitive to the slope of the mass - velocity dispersionrelation and, in order to achieve consistency with X-ray binaries, the analysisfavours a steep gradient for this relationship, as found in recent research.

The mass fraction of AGN and the Fundamental Plane of black hole activity from a large X-ray selected sample of LINERs