Probability distributions of gas and matter overdensity δ, core radius r_c, and gas temperature T_e for the β model and constant temperature model, obtained by the MCMC sampling. The panels in the diagonal show the 1D histogram for each model parameter obtained by marginalizing over the other parameters, with a red line to indicate the best-fit value. The off-diagonal panels show 2D projections of the posterior probability distributions for each pair of parameters, with contours to indicate 1σ, 2σ, and 3σ regions.