Comparison of nebular luminosities as a function of quasar luminosities. Top: Lyα luminosity of the detected nebulae versus Lyα luminosity of the quasar, integrated within the ±FWHM range of the nebular Lyα line (see Section 3.3 and Tables A.2 and C.1) and error bars representing the 1σ uncertainty of the measurements. The median luminosities of bins A2 and A3 are shown with blue squares and their error bars represent the full range of values within each bin. Additionally, we plot with a dashed black line a power law fit of the form $L_{\mathrm{Ly}\alpha }^{\mathrm{neb}}/[{10}^{44}{\mathrm{erg}\mathrm{s}}^{-1}]=L_0{(L_{\mathrm{bol}}/[{10}^{45}{\mathrm{erg}\mathrm{s}}^{-1}])}^{\alpha }$ and list the fitted parameters in the legend. Bottom: Ratio of Lyα luminosities between the nebula and quasar as a function of the bolometric luminosity of the quasar. Similarly, the median values and full range within bins A2 and A3 are shown with blue squares and error bars, respectively. We also plot with a dashed black line a power law fit of the form $(L_{\mathrm{Ly}\alpha }^{\mathrm{neb}}/L_{\mathrm{Ly}\alpha }^{\mathrm{QSO}})=A{(L_{\mathrm{bol}}/[{10}^{47}{\mathrm{erg}\mathrm{s}}^{-1}])}^{\beta }$ and show the fitted parameters in the legend.