Clumpiness as a function of AGN intrinsic X-ray 2 − 10 keV luminosity. Clumpiness is measured within the nuclear 50 pc radius aperture with the three different methods described in Section 3.3 (panels left to right). Data points (square markers, nine per galaxy) are colored according to the nine smoothing FWHM sizes adopted (see the color bar in the central panel). The colored lines show the pwlf fits to the data points, with the same color as the fitted dataset; the lines are solid where a linear fit is statistically accepted, and dashed where it is rejected (see Section 3.4).