I have a sequence of numbers that grows super-exponentially:
0.993, 0.999, 1.037, 1.054, 1.195, 1.55, 2.953, 15.369, 815.687, 26492.118
I'd like to be able to plot the data in such a way that the viewer will be able to tell how the whole sequence increases: for my application, the first few values are especially important, but I'd still like to show the whole range. So I tried a log scale (which stretches out small values), but the first five values still look pretty indistinguishable.
I could take the log twice, but that would probably hurt interpretability and I couldn't display the two values that were less than one (because they'd be negative after the first log transformation).
Right now I'm thinking about splitting it into two plots with different Y axes, but I thought I'd see what the community suggested. Thanks in advance for your time.
arctan
. It will give you more variability for smaller values; however, asx
approaches infinityarctan(x)
approachespi / 2
; therefore, it will look like the whole sequence is leveling off, so maybe this is not what you want. $\endgroup$