(a) Posterior distributions of the power-law exponent (α), normalisation (R_o), and residual variance parameter (lnϵ_R) for the single power-law fit to r_out vs. L_bol, shown asthe solid black line in the top right panel of Fig. 6. (b) Posterior distributions of the power-law exponents (α₁ and α₂), normalisation (R_bk), and residual variance parameter (lnϵ_R) for the broken power-law fit to r_out vs. L_bol, shown as the dashed black line in the top right panel of Fig. 6.