Here is the Patriots record from 2001 through 2012 after bye week
Regular season = 10-2, average score of games after bye week = Patriots 28 vs opponents 17
Playoffs = 5-1, average score of games after playoff bye week = Patriots 25 vs opponents 15
Totals of all games after bye week (Reg season + playoffs)
Record = 15 wins 3 losses, average score of games after bye week = Patriots 27 vs opponents 16
Looking at this, us Patriots fans should feel very good going into this game vs Texans next Sunday. But as I have said all along I don't really like how the Patriots play after a bye week. These numbers show that the average margin of win after bye weeks aren't very high compared to what they do during the season. Out of 18 games played after a bye week the Patriots only have 5 blow out wins by 17+ points.
As I expect a Patriots win next Sunday, I think it will be a close game 31 - 20 Patriots. Which for fun just happens to by the score of the 2007 Patriots vs Jaguars playoff game after the bye week.