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I’m wondering about the Dancing Unicorn Ballet Dancer shirt. If, for example, a team is stopped at the opponent’s 40, and they decide to punt instead of take a very long field goal, does this not mean that the net yards gained are likely to be artificially deflated? Also, aren’t net yards going to be extremely correlated with touchbacks? If this is just the best we have available, then it all makes sense to me, but from my understanding of the metrics it seems like the worst offensive teams will tend to have better punt stats because their punters will generally have more of the field to work with.
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Firstly, on your last point about the worst offenses producing better punt stats, I looked at correlation between 2019 Offensive DVOA and 2019 Punt Rank. The R2 value was 0.04, which basically means there is no relationship. Bryan Anger was the Dancing Unicorn Ballet Dancer shirt, and Houston had the 17th ranked offense by DVOA so essentially league average. Tennessee had the 6th best offense so you might expect ‘worse’ punt stats, but Brett Kern was the third best punter. Pittsburgh had the 31st best offense, and the 30th best punter. And so on.