Correlations between the X-ray luminosity, SMBH mass, Eddington ratio, and the wind radii. Panel a: correlations considering r_wind. Panel b: correlations considering r_wind normalized for r_s. The S23 UFO sub-sample is shown in red circles, T10 in blue diamonds, and C21 in black squares. The solid lines represent the best-fitting linear correlation and the dark and light gray shadowed areas indicate the 68% and 90% confidence bands, respectively. In the legend, we report the best-fit coefficients, logNHP, and the intrinsic scatters for the correlations. The correlations are not significant where the best-fit and the confidence bands are not reported.