Regression to the mean only means over a large enough sample size you should end up at or close to the mean.
Sighting "regression to the Mean" as the reason for the better shooting percentage recently is Wrong. Past performance from a statistical stand point has no bearing on future performance. (in reality if you suck so bad you get traded/waved there can be a link between past and future performance.
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Much like the coin that was sighted in the article. Flip a coin you you get heads or tails. No matter what the out come is it has no bearing on future outcomes. The same is true with Shooting %.
Now when you flip a coin 100 time and get heads every time you are either lucky or there may be another issue with the coin you overlooked. When you increase the sample size to a 1,000 and keep getting heads you need to look at other reasons for this. Ask questions like is the coin heads on both sides, is one side of the coin heavier ... When the Kings had a terrible shooting % over half way through the season you need to ask why is there such a discrepancy between the league average and what the Kings are putting up? Questions that follow are Players/Coach/System.... It was not some statistical chance that the Kings had a horrible shooting %. They earned it.
The problem with numbers/advanced stats is that people use them for their own agendas. The Kings are just unlucky and it'll even out.... No there is nothing in probability/Stats that gives rise to that. More then likely there have been some changes that you may or may not have picked up on. The team is constantly trying to adjust and become better, or should be.
Laying it all on advanced stats saying it will even out is just a cop out for people that don't want or can't see the real problems.
But then here I am the fool.... some one says, "the regression to the mean is a beautiful thing." When it doesn't exist and shows the person has a limited understanding of statistics, and I'm trying to engage in a discussion when others don't speak the language. Please from a mathematical point of view tell me where I'm wrong?
Don't worry the Kings have stockpiled enough negative shooting energy in the begging part of the season to carry them deep into the off season. Put your faith in puck karma and don't ask questions about what the real problems are. Life is much easier that way.