Linear-Linear-Linear:
Log-Log-Log:
Linear-Linear-Linear, 3D Plot with Gaussian KDE to indicate density:
The 3D plots are almost always difficult to show properly. So as you can see, the trend seems to be rather... typical. The 3 Public services tend to increase with one another. It's not a direct correlation, and there will indeed be exceptions that we will look into! If the government spent their budget on one of the three, it's rather typical to see the other 2 being spent as well. A correlation, but not a rule.
These are the values used to take the Highs (above the top_value) and Lows (below the bottom_value):
top_value_x = 4200
bottom_value_x = 450
top_value_y = 6700
bottom_value_y = 427
top_value_z = 2200
bottom_value_z = 180
High Public Healthcare, High Public Transport, High Public Education: 296 nations. Simple enough.
High Public Healthcare, High Public Transport, Low Public Education: 3 nations (at that time, were Mad Citizens, Isbjorn Maerenne Bava Paerani, and Ransium. I personally expected more nations in this territory, because you can totally have good healthcare and transport, just that nations don't want to spend it on education, or that they have an influx of private schools.
Low Public Healthcare, Low Public Transport, High Public Education: 99 nations
Low Public Healthcare, Low Public Transport, Low Public Education: 486 nations
High Public Healthcare, Low Public Transport, High Public Education: 56 nations
High Public Healthcare, Low Public Transport, Low Public Education: 0 nations
Low Public Healthcare, High Public Transport, High Public Education: 0 nations
Low Public Healthcare, High Public Transport, Low Public Education: 0 nations
The Extremes of the time: