Neatly showing why when all you have is two data points you can’t just assume the best fit function for extrapolation is a linear one.
Mind you, a surprisingly large number of political comments is anchored in exactly that logic.
Doubling every three months is an exponential interpolation and not a linear one!
Good point and well spotted!
PS: Though it’s not actually called exponential (as it isn’t enr-3-month-periods but rather 2nr-3-month-periods ) but has a different name which I can’t recall anymore.
PPS: Found it - it’s a “geometric progression”.
By tweaking a few parameters you can turn every base into any other base for exponentials. Just use e^(ln(b)*x)
PS: The formula here would be e^(ln(2)/3*X) and x is the number of months. So the behavior it’s exponential in nature.
PPS: Found it - it’s a “geometric progression”.
A terminology that I learned from the Terminator 2 movie. Only that was, I think, a “geometric rate”.
