Upper panel: X-ray luminosity in the 0.5–2 keV band vs. velocity dispersion with luminosity corrected for the cluster core (). Lower left panel: histogram of residuals in logarithmic space from the best-fit relation for the 62 clusters using the BCES bisector method. Lower 2nd panel: residual vs. offset between the X-ray flux-weighted center and BCG position. Lower 3rd panel: residual vs. fraction of the X-ray luminosity within 0.2r₅₀₀. Lower right panel: residual vs. central cooling time. The colors, lines, and symbols have the same meaning as those in Fig. 3.