At this point I am throwing everything that I found in a linear regression, because I ran out of time. My pick is:
Candidate 11, with an estimated 0.91 chance of success.
Candidates 19 and 7 would be my next choices, with 0.87 and 0.85 estimated chances of success respectively.
If I had had more time to work on this, I would have like to look at:
Why do 3 of the “stats” have diminishing returns, while the other 3 have increasing returns?
Are there any temporal trends?
Can I find anything else out from the sick days?
Why does adding the Bella/L/L stats together result in a spike for very low stats? (aphyer seems to have figured this one out.)
How does the voting system of the faye council work?
What is up with Amy’s ratings?
What is up with Ziqual’s off-by-one ratings?
Is the “noise” in Linestra’s ratings actually related to the other stats?
If I was designing the puzzle, I would try to have one of the possible choices be someone the council would be unlikely to select, but who actually the best. Looking at aphyer’s comments, the reversal on the “physical” stats might be setup for the optimal answer.
I was able to deduce them by
making a scatter-plot of Colleen vs Liboulen’s predictions. You can see that this plot has the points on a “flattened prism” in 3 directions, and manually count the shifts and see that each of the underlying components has 10 possible values.
Once you have that structure, you can pick out points on the extremes and use their slopes to calculate some of the relevant slopes. Finally, I brought in Bella’s info and used that to work out the remaining stats. (I used chatGPT for some help throwing together some linear regressions, but they needed a good bit of tweaking to be functional, and mostly agreed with the slopes that I had calculated by just looking at the scatterplots.)