Comparison between luminosities based on the power-law (Y-axis) and all-points (X-axis) methods of integration. The upper panel shows the comparison between L_IR, and the lower panel panel between L_agn. The black line stands for the 1:1 relation. In both panels, the blue circles and green diamonds denote the Low-z and High-z quasars, respectively. The red and orange lines represent the best Bayesian regression fit, with the best-fit relation given in each panel.