It looks like Simon was right about the effects of Pi and Murphy being linear/cubic in isolation: I modeled everything as logarithmic because it let me use simple linear regression more easily, and ended up just hitting pi/murphy with regressions until I got something that fit acceptably.

(I am surprised that I got such good fits off things like 1/(7-Murphy), I wonder if that fits well with the log version of the chart for some reason).

I think there was a bit of a missed opportunity in not having there be sneaky interactions/hypersphere effects. This was a scenario where it would have been extremely fair to have an effect that triggered based on a threshold not of e.g. Latitude but of something horrendous like cos(Latitude)*cos(Shortitude)*cos(Deltitude): in any other scenario an effect like that might be overcomplicated, but here I think it would have been perfectly natural and made sense when uncovered. I was looking for spheric-type effects, but the only thing like that was Longitude’s effect being sine-wavey.

Thanks for making this!

It looks like Simon was right about the effects of Pi and Murphy being linear/cubic in isolation: I modeled everything as logarithmic because it let me use simple linear regression more easily, and ended up just hitting pi/murphy with regressions until I got something that fit acceptably.

(I am surprised that I got such good fits off things like 1/(7-Murphy), I wonder if that fits well with the log version of the chart for some reason).

I think there was a bit of a missed opportunity in not having there be sneaky interactions/hypersphere effects. This was a scenario where it would have been extremely fair to have an effect that triggered based on a threshold not of e.g. Latitude but of something horrendous like cos(Latitude)*cos(Shortitude)*cos(Deltitude): in any other scenario an effect like that might be overcomplicated, but here I think it would have been perfectly natural and made sense when uncovered. I was looking for spheric-type effects, but the only thing like that was Longitude’s effect being sine-wavey.

I began by looking at what the coordinates must mean and what the selection bias implied about geography and (obviously) got hard stuck.

Damn! Mea culpa; I’ll edit the original post so anyone going through the archives won’t have the same problem.

Oh, editing is a good idea. In any case, I have learned from this mistake in creating synthetic data as if I had made it myself. <3