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There aren't many cases of a player going from arguably the worst quarterback in the league to arguably the best, but here are a few that I've found throughout history.
Randy Moss (2006 with Kerry Collins): 42 receptions, 553 receiving yards, three touchdowns.
Randy Moss (2007 with Tom Brady): 98 receptions, 1493 receiving yards, 23 touchdowns.
Sidney Rice (2008 with Tarvaris Jackson): 15 receptions, 141 receiving yards, four touchdowns.
Sidney Rice (2009 with Brett Favre): 83 receptions, 1,312 receiving yards, eight touchdowns.
Calvin Johnson (2010 with Shaun Hill): 77 receptions, 1,120 receiving yards, 12 touchdowns
Calvin Johnson (2011 with Matthew Stafford): 96 receptions, 1,681 receiving yards, 16 touchdowns.
In other words, if the jump from Tim Tebow to Peyton Manning is as big as we think it is, Demaryius Thomas should have a HUGE statistical jump.
Sidney Rice is the most similar case when you factor in age, size and ability. Rice caught 68 more passes for 1169 more yards and four more touchdowns.
Assuming Manning and Thomas stay healthy, they should expect a similar jump. You know what that means you can expect from Demaryius Thomas?
100 catches. Over 1,700 yards. Eight touchdowns. That's obviously far too ambitious, but is it so crazy to think he could catch 80 passes for 1,300 yards? Not in my book.