Joint fit of the HIGHMz entropy profiles using the constant-plus-power-law parameterisation (Eqs. (4) and (5)). Top panel: best-fitting model (black), super-imposed to observational measurements (grey dots). Black dashed lines mark the intrinsic scatter, while red dash-dotted line is the prediction from non-radiative simulations (Voit et al. 2005). Central panel: ratio between our best-fitting model and predictions from non-radiative simulations. Grey shaded area is the associated statistical error. Bottom panel: local slope of the best-fitting analytical model (black), together with the associated statistical error (grey). In blue are the slopes obtained using fitting with piece-wise power laws (Eq. (6)). Red dash-dotted line is the canonical 1.1 slope.