I made small research. I used kworb's audience data to make a plot. Songs with I choosed: Happy, Blurred Lines, All Of Me, Royals, Dark Horse, Wrecking Ball, Applause, Safe And Sound, Daft Punk, Roar
(Big version:
http://wstaw.org/m/2014/09/07/ATRL.png)
The horizontal axis(OX) shows 7-days audience chages when songs had AI=110M. The vertical axis shows peak of audience. You can see quite strong positive correlation between the factors(R2=0.85). I also added 90% prediction bounds.
"AATB" had +4.264M for 110.987M. It means songs will peak with AI between 260-360M(90%). General trend give 285M AI!