Smith and Davis with the 49ers

How rare is it for a quarterback to throw a touchdown pass to a player, and then throw a touchdown pass 12 years later to the same player on a new team? Well, it’s never happened before. The closest was with Randall Cunningham and Cris Carter; the duo connected for a touchdown pass in November 1987 with the Eagles, and last connected for a touchdown pass in September 1999 with the Vikings, a span of nearly 12 years.

The table below shows, through 2017, all QB/Receiver pairings where the duo connected for touchdown passes on different teams.  I have used “different teams” liberally here (e.g., including the old Browns and Ravens as different teams), but you can consider them the same team if you like.

Stabler and Casper hold the record for combined touchdowns on two teams, at 45, although most of those were in Oakland. Bledsoe/Glenn, Cunningham/Carter, Cutler/Marshall, and — if you want to include them, Testaverde/Jackson and Testaverde/Alexander — are the only pairs to connect for double digit touchdowns on two different teams.

From 2011 to 2017, Smith threw 43 interceptions but took an incredible 260 sacks! That means over the last seven seasons, Smith has been sacked over 6 times as often as he’d thrown an interception (6.05 to be precise). Among the 32 quarterbacks who have thrown the most passes since 2011, only three others have even a 4:1 sack:interception ratio. Two of them are two of the best quarterbacks in the NFL in Russell Wilson (4.4 to 1) and Aaron Rodgers (5.20 to 1).  And there are some extenuating circumstances in both cases.

Wilson has played behind terrible offensive lines and scrambles often, which inflates his sack rate. Rodgers has been arguably the best quarterback in the NFL over the last seven years and has a tiny interception rate, although taking too many sacks is a legitimate criticism of his game. But neither passer is a dink-and-dunk type: both rank in the top 8 in yards per completion since 2011 (Rodgers averaged 12.0 yards per completion, Wilson 12.2) while Smith ranked in the bottom 8 with an 11.2 average.

The fourth quarterback is Smith’s old teammate, Colin Kaepernick (5.70 to 1). Even as a young player, Kaepernick always took a lot of sacks, and like Wilson, his scrambling inflated his sack rate a bit. Kaepernick averaged 5.3 sacks for every interception in 2012, then 4.9 in 2013, 5.2 in 2014, 5.6 in 2015, before catapulting to 9.0 in 2016, a year that may have been influenced by his political stance. But even still, Kaepernick wasn’t really a great match for Smith because he averaged 12.1 yards per completion, the 6th-highest rate since 2012.

So over the last 7 years, it’s pretty clear that no quarterback embodied the risk-averse style of player quite like Smith. With a ton of sacks, not many interceptions, and a low yards per completion average, Smith was the most conservative passer in football.

But over the last three years, Tyrod Taylor has taken the crown. In fact, Taylor is more Alex Smith than even Alex Smith! I looked at the 32 quarterbacks with the most pass attempts since the start of the 2015 season. Among that group, Taylor ranks 2nd in interception rate at just 1.29%, but he also ranks last in sack rate at 9.1%! The scramble factor is an issue here — by scrambling when a play breaks down instead of throwing it away, Taylor’s sack rate isn’t quite as bad as it appears — but only two of the other 32 quarterbacks have a sack rate within even two percent of Taylor’s.

The graph below shows interception rate (on the X-Axis) and sack rate (on the Y-Axis) for all 32 quarterbacks. In graphs, I like to have the best players be up and to the right, so since both interceptions and sacks are bad, I have plotted both in reverse order (so from left to right, interception rate goes down, and from top to bottom, sack rate goes down).

Tom Brady is the upper right dot, while Taylor is sort of in his own world at the bottom right. The two dots on the upper left — the anti-Taylors, if you will — are Ryan Fitzpatrick and Ben Roethlisberger.

Taylor’s 1.3% interception rate is 1.67 standard deviations above average (his INT Z-Score). Meanwhile, his 9.1% sack rate is 2.57 standard deviations below average, giving him a Sack Rate Z-Score of -2.57. The difference between those two ratings is 4.24, easily the largest in the NFL since 2015. The runner-up? Smith, of course.

Note that today’s measure is not a measure of quality, but a measure of style. We are comparing two bad metrics, so putting one in the numerator and one in the denominator doesn’t make sense when trying to rate quarterbacks (the same idea would apply if we tried to measure say, passing yards per passing touchdown). Sacks are bad and interceptions are bad, so being good isn’t a way to beat this system — notice that Brady and Rodgers are on opposite ends from Roethlisberger and Brees.

But quarterbacks often have to make a decision between taking a sack and attempting a risky pass, and the optimal number of interceptions is not zero. But when a quarterback has this extreme a sack-to-interception rate, he’s probably not throwing enough interceptions.