Fit parameters from a power and exponential law to the stacked SB and velocity dispersion profiles as functions of their median quasar luminosities. The first row shows the fitted log(SB₀) (left) and β (right) parameters of a power law versus the median peak Lyα luminosity density (top axis, dot-dashed red line) and bolometric luminosity (bottom axis, blue line) of the quasar, with their respective uncertainties as shaded areas. The second row shows the log(SB₀) and R_h parameters of an exponential law fit as a function of their median quasar luminosities. The bottom row shows the fitted log(σ₅₀) and β of a power law fit to the median velocity dispersion profiles as a function of their quasar luminosity. We also show in the left panel a power law fit to the normalization factor as a function of bolometric luminosity of the form ${\sigma }_{50}={\sigma }_{\mathrm{bol}}{(L_{\mathrm{bol}}/[{10}^{46}{\mathrm{erg}\mathrm{s}}^{-1}])}^{\alpha }$ and parameters shown in the legend with a dashed black line and 1σ uncertainty shaded area. Finally, the fitted parameters for the profile of the stacked nondetections are shown with a white diamond and error bars representing the 1σ uncertainty, while the fitted parameters of bins A2 ans A3 are shown with light blue and dark blue squares, respectively.