THE STAT
Yards Per Attempt Adjusted Explained: How Touchdowns, Interceptions, and Sacks Reshape Passing Stats
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A standard box score defines passing yards per attempt through simple division: total passing yards divided by total passing attempts. That baseline calculation treats every completed yard equally, giving no extra statistical weight to a 4-yard throw that scores a touchdown or a turnover that hands possession to the opponent.
To bridge that gap, statistical databases and analysts apply adjusted yards per attempt. The metric modifies raw passing yardage by crediting 20 yards for every passing touchdown and assessing a 45-yard penalty for every interception thrown.
The result is a reweighted efficiency figure that reflects the direct scoring and turnover consequences of dropbacks.
The Baseline Metric: Dividing Passing Yards by Attempts
The foundation of passing efficiency in football statistical records is yards per attempt, commonly abbreviated as Y/A. According to the NFL Analytics glossary, yards per attempt is defined strictly as passing yards divided by pass attempts. Sports Reference groups this calculation alongside other passing-efficiency formulas as standard statistical definitions in its football glossary.
The arithmetic behind the basic number is direct. A quarterback who accumulates 240 passing yards across 30 pass attempts finishes the game with an even 8.0 yards per attempt. A passer who compiles 240 yards across 40 attempts records 6.0 yards per attempt.
The formula makes no adjustments for game situations, scores, dropped passes, or turnovers. A completion on third-and-long that gains nine yards on third-and-ten receives the exact same value in the numerator as a nine-yard completion on first-and-ten. Because the metric isolates yardage against volume, the Scouting Academy describes yards per attempt as the starting point for adjusted net yards per attempt.
Weighting Touchdowns and Turnovers in Adjusted Yards Per Attempt
Adjusted yards per attempt builds on the raw baseline by adding point-scoring plays and deducting turnovers. Action Network defines adjusted yards per attempt, recorded as AY/A, as a statistic measuring average yardage per passing attempt while accounting for touchdowns and interceptions.
Both Action Network and Sports Reference define the exact mathematical formula for adjusted yards per attempt as:
(passing yards + 20 passing touchdowns - 45 interceptions) / passing attempts
The adjustments shift the final rate based on box-score events:
- Passing touchdowns add a 20-yard credit per score to the numerator.
- Interceptions impose a 45-yard deduction per turnover from the numerator.
- Passing attempts remain the sole divisor in the denominator.
Consider two quarterbacks who each finish a game with 250 passing yards on 25 pass attempts. Both enter the calculation with a base yards per attempt average of 10.0.
The first quarterback throws three touchdowns and zero interceptions. In the AY/A formula, the numerator adds 60 yards for the three scoring passes, bringing the adjusted passing yardage to 310. Divided by 25 attempts, the adjusted yards per attempt rises to 12.4.
The second quarterback throws zero touchdowns and two interceptions. The formula deducts 90 yards from the original 250-yard total, leaving an adjusted yardage of 160. Divided by the same 25 attempts, the second passer finishes with an adjusted yards per attempt of 6.4. While standard yards per attempt views both box scores as identical 10.0-yard performances, the adjusted metric separates them by 6.0 yards per throw.
The Expected Points Logic Behind the 45-Yard Interception Penalty
The 45-yard deduction applied to an interception is not an arbitrary penalty figure. A glossary entry from Advanced Football Analytics states that 45 yards is chosen for an interception because 45 yards is approximately equivalent to the expected points value lost on an interception.
Turnovers abruptly end scoring drives, erase field position, and grant the opposing offense possession. The 45-yard subtraction reflects that shift in expected points within the structure of a single passing attempt.
The formula treats the offensive impact of a passing touchdown differently by applying a 20-yard bonus. While Advanced Football Analytics documents the expected-points justification for the 45-yard turnover penalty, a primary-source explanation for why touchdowns are weighted at 20 has not been verified.
Because the 45-yard penalty is more than double the 20-yard bonus, turnovers depress a passer's adjusted efficiency far faster than scoring plays inflate it. A quarterback must throw more than two touchdowns to offset the mathematical penalty imposed by a single interception in the AY/A numerator.
How Sacks Enter the Numerator and Denominator in ANY/A
Adjusted yards per attempt accounts for scoring passes and turnovers, but it omits passing plays that end in a sack. To capture lost yardage on pass plays before a throw is made, statistical databases calculate adjusted net yards per passing attempt, designated as ANY/A.
Sports Reference explicitly separates AY/A from ANY/A in its football glossary, defining adjusted net yards per passing attempt with a six-part formula:
(pass yards + 20 pass TD - 45 interceptions thrown - sack yards) / (passing attempts + sacks)
Scouting Academy and NFL Analytics explain that the term "net" enters the metric because sacks modify both parts of the fraction. Lost sack yardage is subtracted from the numerator alongside interception penalties. Sacks are simultaneously added to passing attempts in the denominator, treating the sack as a passing play that failed to produce an attempt.
Scouting Academy notes that the complete ANY/A formula integrates six distinct variables from the box score:
- Passing yards
- Sack yardage
- Passing touchdowns
- Interceptions thrown
- Passing attempts
- Sacks absorbed
If a quarterback throws for 300 yards, two touchdowns, and one interception on 30 attempts, while absorbing four sacks for a loss of 28 yards, the calculation incorporates every element. The numerator becomes 300 plus 40 for the touchdowns, minus 45 for the interception, minus 28 for the sack yardage, totaling 267 net adjusted yards. The denominator becomes 30 attempts plus four sacks, totaling 34 dropbacks. Dividing 267 by 34 produces an ANY/A of 7.85, down from a raw Y/A of 10.0.
Progressing from Raw Yardage to Net Box-Score Efficiency
The three metrics form an arithmetic progression in football statistical tracking. Yards per attempt isolates passing yardage per throw without context. Adjusted yards per attempt adds the scoring weight of touchdowns and the expected-points cost of turnovers. Adjusted net yards per passing attempt brings in the yardage losses and down-ending consequences of sacks.
Each step alters the final number by pulling in additional box-score components. While plain yards per attempt remains the foundation across official glossaries, incorporating touchdowns, turnovers, and sacks redistributes yardage value to reflect net production on every passing dropback.
