NOTE: Potential is the ENM potential, Model is either the Stress Model or Flexibility Model, y is in all cases the site-specific rate of evolution inferred using Rate4Site, x is the independent variable of each model. AIC is the Akaike Information Criterion summed over all proteins. <w(AIC)> is the average of the AIC weight for each compared model (same ENM). Nprot is the number of proteins for which each compared model (same ENM) is the best one. <R> is average over proteins of Pearson’s correlation coefficient between variables y and x. <pR> is the average partial correlation coefficient when controlling for the x variable of the contrasting model (same ENM). All variables were z-score normalized for each protein before fitting.