For example, the two top teams in yards per running play were the Tennessee Titans (8-8) and the Carolina Panthers (8-8), while two worst running teams per play were the Indianapolis Colts (14-2) and the San Diego Chargers (13-3).
A correlation of 0.80 with yards per pass attempt is very high considering that's not even looking at defense or special teams play.
Now, A.E. has checked out the last eight NFL seasons, and 2009 turns out to be the extreme case in recent years:
Of course, when you get to the playoffs in January, especially in outdoor games in northern cities, passing can let you down, such as New England's passing attack getting whomped by Baltimore's running game outdoors in the Boston area in the first round of the playoffs.