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Considering individual teams from the 2013 season, there was no significant correlation between passing yards and first downs by penalty, which seems to argue against the "chuck it down the field and hope you draw a PI penalty" offensive strategy being prevalent in the league.
There also doesn't seem to be a tend in number of first downs awarded by penalty. They are currently on a 6 year upward trend but within the norm of the last 30 years of trends.
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