Seriously, you are providing good information but to be 100 % correct don't all the teams (variables) have to be of the same quality?
I get that 14 years is along time - in that time period Florida was a bottom feeder (they picked Ekblad 1OA), a Presidents Trophy winner, a Cup winner, and all the points in between. NJD has gone from bottom feeder to contender. Tampa and Boston seemed to be in it every year. Buffalo has been at the bottom every season with only two seasons (the Covid special year and the infamous 91 point season) that they were even in the running in March.
So, the inputs to your statistical analysis are not the same. There is no factor for the quality of each team in each year. Not every team is random input, at the start of each season there are teams with much better odds.
I bring this up because for most of the 14 years the Sabres have not even been trying to win, so why would they even count as a possibility to win other than random luck?