These two tables show values of R2 coupled to the best fits of data sets MMi,y versus Ωi,y for all the countries considered and for several choices of binning; binned data and best fits are shown in Fig 8.

As for Italy, whatever the level of resolution we fix (i.e., whatever the amount of bins we use), the best fit considering the country as a whole (* for the linear fit and ** for the square-root fit) is always significantly worst than the one obtained considering Northern and Southern regions separately.