Comparison of observed quasar properties with the nebulae properties. We show for each detected nebulae, their quasar bolometric luminosity as a function of black hole mass. The size of each point is proportional to the integrated Lyα luminosity of the nebula divided by the total nebula area in kpc², with larger symbols having larger ratios. Different values of constant Eddington ratios (λ_Edd) are shown with dashed gray lines. Left: The points are color-coded by the peak Lyα luminosity density of each quasar (Table C.1). The black error bars in the lower right corner indicate the intrinsic uncertainty of the M_BH and L_bol estimators (see Section 2.2). Right: The points are color-coded by the mean velocity dispersion shown in the maps of Figures 8 and C.6. Additionally, we overlay in the left panel the bins covering different quasar properties described in Section 4.1.