Soliton scaling relations compared to the results of the fits to LTs, where each point is colored according to the value of M_⋆ of the corresponding galaxy. Dot-dashed lines and gray bands represent the mean and the 68% and 95% CL regions for the correlation expected from FDM for the average axion mass in Eq. (23). The solid line and surrounding bands represent the maximum posterior and 68% and 95% CL regions of the fit to a power law of the results extracted from the individual galaxies. Left: Results in the r_c − ρ_c plane compared to Eq. (8) and where we also show the results obtained independently for a different sample of galaxies by using a Burkert profile (Rodrigues et al. 2017; Deng et al. 2018). Right: Results in the r_c − M_c plane compared to Eq. (8).