Left panel: Scatter plot of black hole mass (log M_BH) vs. bolometric luminosity (log L_bol) for the Full quasar sample in this study. Data points are color-coded by their log Eddington ratio (λ). The black contours indicate the Eddington ratio distribution of the main sample, with the Eddington ratio values marked at each contour level. Right panel: Binned grid of log M_BH and log L_bol, showing the BAL fraction in each bin (marked at the center and color-coded). The total number of quasars and the median Eddington ratio in each bin are displayed at the top and bottom of each bin, respectively.