Rush Attempts Model — Backtest
← Projections · model rush-20261020-1640, trained through 2026 week 6Accuracy vs actual carries
Held-out seasons 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, plus 2026 week by week. RB and QB player-games with at least one prior game. Live model: Team × share + trees. It beats every baseline on both MAE and RMSE: yes.
Model MAE
2.69
carries per player-game, n=18,961
Last-4 avg MAE
2.91
7.6% worse than the model
2026 MAE
2.52
week-by-week, bias -0.18
80% range coverage
80.5%
held-out, target 80%
| Model | n | MAE | RMSE | Mean pred | Mean actual | 2026 MAE | 2026 RMSE |
|---|---|---|---|---|---|---|---|
| Team × share + trees | 18,961 | 2.694 | 3.853 | 5.96 | 5.99 | 2.516 | 3.625 |
| Team × share + trees (bias-corrected) | 18,961 | 2.698 | 3.855 | 5.99 | 5.99 | 2.517 | 3.624 |
| Team carries × share | 18,961 | 2.694 | 3.855 | 5.97 | 5.99 | 2.518 | 3.622 |
| One-stage trees (LightGBM) | 18,961 | 2.707 | 3.872 | 5.96 | 5.99 | 2.535 | 3.643 |
| Average of all three | 18,961 | 2.726 | 3.880 | 6.09 | 5.99 | 2.530 | 3.638 |
| One-stage Poisson regression | 18,961 | 2.895 | 4.140 | 6.36 | 5.99 | 2.593 | 3.732 |
| Last-4-game average | 18,961 | 2.915 | 4.254 | 6.01 | 5.99 | 2.923 | 4.173 |
| Team L4 carries × L4 share | 18,961 | 2.918 | 4.262 | 6.00 | 5.99 | 2.914 | 4.156 |
| Season average | 18,961 | 2.913 | 4.270 | 5.87 | 5.99 | 2.920 | 4.236 |
Per season (MAE, RB + QB)
| Season | n | Model | Last-4 | Season avg | Volume |
|---|---|---|---|---|---|
| 2018 | 2,295 | 2.69 | 2.83 | 2.83 | 2.83 |
| 2019 | 2,280 | 2.55 | 2.73 | 2.71 | 2.73 |
| 2020 | 2,374 | 2.72 | 2.98 | 2.98 | 3.00 |
| 2021 | 2,452 | 2.80 | 3.11 | 3.11 | 3.11 |
| 2022 | 2,416 | 2.76 | 2.95 | 2.93 | 2.96 |
| 2023 | 2,405 | 2.68 | 2.94 | 2.95 | 2.93 |
| 2024 | 2,365 | 2.73 | 2.96 | 2.97 | 2.96 |
| 2025 | 2,374 | 2.61 | 2.82 | 2.80 | 2.82 |
| 2026 | 752 | 2.52 | 2.92 | 2.92 | 2.91 |
Calibration (held-out RB + QB)
| Projected | n | Mean pred | Mean actual |
|---|---|---|---|
| 0-1 | 2,256 | 0.36 | 0.42 |
| 1-3 | 5,106 | 2.08 | 2.16 |
| 3-6 | 5,021 | 4.23 | 4.17 |
| 6-9 | 2,116 | 7.36 | 7.41 |
| 9-12 | 1,611 | 10.48 | 10.66 |
| 12-15 | 1,707 | 13.45 | 13.59 |
| 15-18 | 1,153 | 16.29 | 16.03 |
| 18+ | 383 | 19.56 | 19.35 |
Team stage: team carries per game
| Model | n | MAE | RMSE |
|---|---|---|---|
| Team model | 4,454 | 5.82 | 7.21 |
| Last-4 average | 4,454 | 6.45 | 8.01 |
| Season average | 4,454 | 6.31 | 7.85 |
Over / under the closing line
Every player-game since 2023 with a posted rush-attempts prop, closing line vs official carries. Over% and Under% exclude pushes. Players without a box-score line (did not play) are excluded.
Over
47.1%
2,048 of 4,345
Under
52.9%
2,297 unders · 0 pushes
Avg line / actual
9.1 / 9.2
carries
Brier: model / market
0.257 / 0.248
the close is sharper · n=4,341
By season
| Season | n | Over% | Under% | Push | Avg line | Avg actual |
|---|---|---|---|---|---|---|
| 2023 | 1,081 | 49.4% | 50.6% | 0 | 9.75 | 10.01 |
| 2024 | 1,305 | 47.3% | 52.7% | 0 | 9.20 | 9.23 |
| 2025 | 1,495 | 45.6% | 54.4% | 0 | 8.62 | 8.55 |
| 2026 | 464 | 46.3% | 53.7% | 0 | 8.92 | 8.92 |
By position and line size
| Group | n | Over% | Under% | Avg line | Avg actual |
|---|---|---|---|---|---|
| QB | 1,499 | 47.7% | 52.3% | 4.24 | 4.25 |
| RB | 2,778 | 47.4% | 52.6% | 11.91 | 11.99 |
| WR/TE | 68 | 25.0% | 75.0% | 1.94 | 1.40 |
| Line 0.5–3.5 | 1,040 | 48.7% | 51.3% | 2.70 | 2.89 |
| Line 4.5–7.5 | 1,078 | 44.7% | 55.3% | 5.80 | 5.73 |
| Line 8.5–11.5 | 691 | 47.6% | 52.4% | 9.93 | 10.09 |
| Line 12.5–15.5 | 990 | 47.5% | 52.5% | 14.03 | 14.13 |
| Line 16.5+ | 546 | 47.8% | 52.2% | 17.86 | 17.65 |
Model vs the close (Consensus close (all books))
Out-of-sample model on the same player-games. The model's average miss is 3.20 carries vs 3.07 for the closing line itself. When the model is above the line, the over hit 53.6% of the time it leaned (both directions combined). By the gap between the model's and the market's over probability:
| |Model − no-vig| | n | Overs / unders | Model's side hit | Flat-stake ROI at the close |
|---|---|---|---|---|
| 0.00-0.03 | 737 | 330 / 407 | 53.5% | +0.1% ± 3.5 |
| 0.03-0.06 | 705 | 256 / 449 | 48.9% | -8.3% ± 3.5 |
| 0.06-0.10 | 839 | 248 / 591 | 53.2% | -0.4% ± 3.2 |
| 0.10-1.00 | 2,060 | 334 / 1726 | 55.0% | +3.8% ± 2.1 |
Break-even at standard −110 juice is 52.4%. ROI uses the closing price of the side the model favors (± one standard error). For reference, betting every under at the close returned
-1.2%. These are out-of-sample model numbers, but the closes cover only 2023 onward. Treat a bucket as real only if it holds season after season. It is not a guarantee.
Players vs their closing line
Consensus close, since 2023, at least 8 lines. Sorted by over rate.
| Player | Pos | Team | Lines | O-U-P | Over% | Avg line | Avg carries | Avg diff |
|---|---|---|---|---|---|---|---|---|
| Woody Marks | RB | HOU | 22 | 15-7-0 | 68.2% | 11.8 | 12.6 | +0.9 |
| Jameis Winston | QB | NYG | 9 | 6-3-0 | 66.7% | 2.6 | 3.0 | +0.4 |
| Tyler Huntley | QB | BAL | 9 | 6-3-0 | 66.7% | 6.3 | 5.9 | -0.4 |
| Deshaun Watson | QB | CLE | 17 | 11-6-0 | 64.7% | 5.0 | 5.5 | +0.6 |
| Joshua Dobbs | QB | SF | 11 | 7-4-0 | 63.6% | 5.0 | 5.7 | +0.8 |
| Cam Skattebo | RB | NYG | 11 | 7-4-0 | 63.6% | 14.1 | 15.4 | +1.2 |
| Jonathan Taylor | RB | IND | 45 | 27-18-0 | 60.0% | 18.6 | 19.9 | +1.3 |
| Bucky Irving | RB | TB | 30 | 18-12-0 | 60.0% | 13.8 | 15.3 | +1.5 |
| Kyle Monangai | RB | CHI | 20 | 12-8-0 | 60.0% | 8.9 | 11.5 | +2.6 |
| AJ Dillon | RB | CAR | 15 | 9-6-0 | 60.0% | 10.7 | 11.5 | +0.8 |
| Zach Wilson | QB | NYJ | 10 | 6-4-0 | 60.0% | 2.8 | 2.8 | +0.0 |
| Sean Tucker | RB | TB | 10 | 6-4-0 | 60.0% | 6.1 | 7.0 | +0.9 |
| Mac Jones | QB | SF | 17 | 10-7-0 | 58.8% | 2.6 | 3.0 | +0.4 |
| Kimani Vidal | RB | LAC | 17 | 10-7-0 | 58.8% | 9.9 | 11.2 | +1.3 |
| D'Andre Swift | RB | CHI | 58 | 34-24-0 | 58.6% | 13.5 | 14.5 | +1.0 |
| Austin Ekeler | RB | WAS | 29 | 17-12-0 | 58.6% | 9.5 | 9.5 | +0.1 |
| Tyrone Tracy Jr. | RB | NYG | 26 | 15-11-0 | 57.7% | 12.4 | 12.8 | +0.4 |
| Aaron Jones | RB | MIN | 47 | 27-20-0 | 57.4% | 13.2 | 14.0 | +0.8 |
| Brock Purdy | QB | SF | 47 | 27-20-0 | 57.4% | 3.5 | 3.9 | +0.4 |
| Justin Herbert | QB | LAC | 51 | 29-22-0 | 56.9% | 3.9 | 4.6 | +0.7 |
| Tyler Allgeier | RB | ARI | 51 | 29-22-0 | 56.9% | 8.1 | 9.0 | +0.9 |
| Derrick Henry | RB | BAL | 57 | 32-25-0 | 56.1% | 17.8 | 18.3 | +0.5 |
| Jahmyr Gibbs | RB | DET | 57 | 32-25-0 | 56.1% | 13.3 | 14.2 | +0.9 |
| Rachaad White | RB | WAS | 56 | 31-25-0 | 55.4% | 10.6 | 10.8 | +0.1 |
| Zach Charbonnet | RB | SEA | 38 | 21-17-0 | 55.3% | 9.6 | 9.8 | +0.2 |
| CJ Stroud | QB | HOU | 44 | 24-20-0 | 54.5% | 3.0 | 3.2 | +0.2 |
| Derek Carr | QB | NO | 11 | 6-5-0 | 54.5% | 1.7 | 1.6 | -0.0 |
| D'Onta Foreman | RB | CLE | 11 | 6-5-0 | 54.5% | 10.8 | 10.8 | +0.0 |
| Jamaal Williams | RB | NO | 11 | 6-5-0 | 54.5% | 8.0 | 9.6 | +1.7 |
| Josh Jacobs | RB | GB | 46 | 25-21-0 | 54.3% | 17.1 | 17.4 | +0.3 |
| Blake Corum | RB | LA | 24 | 13-11-0 | 54.2% | 8.4 | 8.2 | -0.2 |
| James Cook | RB | BUF | 61 | 33-28-0 | 54.1% | 15.0 | 16.2 | +1.2 |
| Chuba Hubbard | RB | CAR | 50 | 27-23-0 | 54.0% | 12.5 | 13.6 | +1.2 |
| Desmond Ridder | QB | LV | 13 | 7-6-0 | 53.8% | 3.3 | 4.1 | +0.7 |
| Spencer Rattler | QB | NO | 13 | 7-6-0 | 53.8% | 4.0 | 3.7 | -0.3 |
| Kareem Hunt | RB | KC | 41 | 22-19-0 | 53.7% | 10.4 | 11.5 | +1.1 |
| Najee Harris | RB | NYG | 41 | 22-19-0 | 53.7% | 13.2 | 13.8 | +0.5 |
| Baker Mayfield | QB | TB | 47 | 25-22-0 | 53.2% | 3.3 | 3.5 | +0.2 |
| Drake Maye | QB | NE | 38 | 20-18-0 | 52.6% | 5.3 | 5.7 | +0.4 |
| Kirk Cousins | QB | LV | 19 | 10-9-0 | 52.6% | 1.6 | 1.8 | +0.3 |
| Saquon Barkley | RB | PHI | 54 | 28-26-0 | 51.9% | 18.4 | 18.5 | +0.2 |
| Russell Wilson | QB | NYG | 27 | 14-13-0 | 51.9% | 4.2 | 4.5 | +0.3 |
| Jayden Daniels | QB | WAS | 29 | 15-14-0 | 51.7% | 8.4 | 8.8 | +0.4 |
| J.K. Dobbins | RB | DEN | 31 | 16-15-0 | 51.6% | 14.0 | 14.4 | +0.4 |
| Sam Darnold | QB | SEA | 37 | 19-18-0 | 51.4% | 3.0 | 2.9 | -0.0 |
| Kenneth Walker III | RB | KC | 51 | 26-25-0 | 51.0% | 14.9 | 15.0 | +0.0 |
| Patrick Mahomes | QB | KC | 56 | 28-28-0 | 50.0% | 4.3 | 4.5 | +0.2 |
| Tony Pollard | RB | TEN | 56 | 28-28-0 | 50.0% | 14.6 | 14.9 | +0.3 |
| Jared Goff | QB | DET | 32 | 16-16-0 | 50.0% | 1.6 | 1.8 | +0.2 |
| TreVeyon Henderson | RB | NE | 26 | 13-13-0 | 50.0% | 10.0 | 10.0 | -0.0 |
| Keaton Mitchell | RB | LAC | 14 | 7-7-0 | 50.0% | 6.1 | 6.7 | +0.6 |
| Chris Rodriguez Jr. | RB | JAX | 14 | 7-7-0 | 50.0% | 8.0 | 8.4 | +0.4 |
| Dameon Pierce | RB | PHI | 12 | 6-6-0 | 50.0% | 11.8 | 13.0 | +1.2 |
| Kendre Miller | RB | NO | 10 | 5-5-0 | 50.0% | 8.7 | 8.0 | -0.7 |
| J.J. McCarthy | QB | MIN | 10 | 5-5-0 | 50.0% | 4.0 | 3.7 | -0.3 |
| Josh Allen | QB | BUF | 61 | 30-31-0 | 49.2% | 6.9 | 7.1 | +0.2 |
| Kyren Williams | RB | LA | 55 | 27-28-0 | 49.1% | 16.4 | 17.2 | +0.8 |
| Travis Etienne Jr. | RB | NO | 53 | 26-27-0 | 49.1% | 13.7 | 13.5 | -0.2 |
| Isiah Pacheco | RB | KC | 41 | 20-21-0 | 48.8% | 12.2 | 12.2 | +0.0 |
| Caleb Williams | QB | CHI | 39 | 19-20-0 | 48.7% | 4.6 | 4.8 | +0.2 |
| Gus Edwards | RB | LAC | 29 | 14-15-0 | 48.3% | 10.6 | 10.3 | -0.3 |
| Raheem Mostert | RB | LV | 25 | 12-13-0 | 48.0% | 10.5 | 10.7 | +0.2 |
| Christian McCaffrey | RB | SF | 48 | 23-25-0 | 47.9% | 16.9 | 16.6 | -0.4 |
| Brian Robinson Jr. | RB | ATL | 46 | 22-24-0 | 47.8% | 11.0 | 10.2 | -0.7 |
| Ashton Jeanty | RB | LV | 23 | 11-12-0 | 47.8% | 16.3 | 15.8 | -0.5 |
| Trevor Lawrence | QB | JAX | 42 | 20-22-0 | 47.6% | 3.9 | 4.0 | +0.1 |
| Geno Smith | QB | NYJ | 38 | 18-20-0 | 47.4% | 2.8 | 2.8 | +0.1 |
| Chase Brown | RB | CIN | 38 | 18-20-0 | 47.4% | 13.8 | 14.0 | +0.2 |
| Jacoby Brissett | QB | ARI | 19 | 9-10-0 | 47.4% | 3.0 | 3.1 | +0.1 |
| Quinshon Judkins | RB | CLE | 19 | 9-10-0 | 47.4% | 16.7 | 15.9 | -0.7 |
| Javonte Williams | RB | DAL | 53 | 25-28-0 | 47.2% | 13.4 | 12.8 | -0.7 |
| Daniel Jones | QB | IND | 34 | 16-18-0 | 47.1% | 5.1 | 4.9 | -0.2 |
| Devin Singletary | RB | NYG | 32 | 15-17-0 | 46.9% | 10.8 | 10.9 | +0.1 |
| Alvin Kamara | RB | NO | 43 | 20-23-0 | 46.5% | 13.6 | 13.3 | -0.3 |
| Bryce Young | QB | CAR | 41 | 19-22-0 | 46.3% | 2.9 | 2.9 | +0.0 |
| Rico Dowdle | RB | PIT | 39 | 18-21-0 | 46.2% | 11.9 | 12.3 | +0.4 |
| Tyler Shough | QB | NO | 13 | 6-7-0 | 46.2% | 4.2 | 4.2 | -0.0 |
| Rhamondre Stevenson | RB | NE | 50 | 23-27-0 | 46.0% | 12.1 | 12.3 | +0.2 |
| Bijan Robinson | RB | ATL | 57 | 26-31-0 | 45.6% | 16.0 | 16.1 | +0.0 |
| Ty Chandler | RB | MIN | 11 | 5-6-0 | 45.5% | 10.0 | 9.9 | -0.1 |
| Joe Mixon | RB | HOU | 31 | 14-17-0 | 45.2% | 16.3 | 17.0 | +0.7 |
| Jacory Croskey-Merritt | RB | WAS | 20 | 9-11-0 | 45.0% | 10.9 | 11.0 | +0.1 |
| Justin Fields | QB | NYJ | 27 | 12-15-0 | 44.4% | 8.9 | 9.1 | +0.1 |
| Zamir White | RB | LV | 9 | 4-5-0 | 44.4% | 12.6 | 12.4 | -0.2 |
| Jaylen Warren | RB | PIT | 52 | 23-29-0 | 44.2% | 10.6 | 10.3 | -0.2 |
| James Conner | RB | ARI | 32 | 14-18-0 | 43.8% | 15.1 | 14.9 | -0.2 |
| Samaje Perine | RB | CIN | 16 | 7-9-0 | 43.8% | 5.3 | 5.9 | +0.7 |
| Omarion Hampton | RB | LAC | 16 | 7-9-0 | 43.8% | 13.5 | 12.8 | -0.7 |
| David Montgomery | RB | HOU | 53 | 23-30-0 | 43.4% | 12.7 | 12.3 | -0.4 |
| Jordan Love | QB | GB | 49 | 21-28-0 | 42.9% | 2.8 | 2.6 | -0.2 |
| Bo Nix | QB | DEN | 42 | 18-24-0 | 42.9% | 5.0 | 5.1 | +0.1 |
| Joe Burrow | QB | CIN | 35 | 15-20-0 | 42.9% | 2.8 | 2.6 | -0.2 |
| Tank Bigsby | RB | PHI | 21 | 9-12-0 | 42.9% | 7.4 | 8.2 | +0.8 |
| Will Levis | QB | TEN | 14 | 6-8-0 | 42.9% | 3.6 | 3.3 | -0.3 |
| Jaxson Dart | QB | NYG | 14 | 6-8-0 | 42.9% | 6.6 | 6.8 | +0.1 |
| Kyler Murray | QB | MIN | 33 | 14-19-0 | 42.4% | 5.4 | 5.0 | -0.4 |
| Lamar Jackson | QB | BAL | 52 | 22-30-0 | 42.3% | 8.2 | 7.7 | -0.5 |
| Dak Prescott | QB | DAL | 45 | 19-26-0 | 42.2% | 3.0 | 2.8 | -0.2 |
| Deebo Samuel Sr. | WR | SF | 12 | 5-7-0 | 41.7% | 2.3 | 2.0 | -0.2 |
| Khalil Herbert | RB | CHI | 12 | 5-7-0 | 41.7% | 10.0 | 10.2 | +0.2 |
| Ezekiel Elliott | RB | DAL | 17 | 7-10-0 | 41.2% | 9.9 | 9.2 | -0.7 |
| Justice Hill | RB | BAL | 22 | 9-13-0 | 40.9% | 3.9 | 3.8 | -0.1 |
| Matthew Stafford | QB | LA | 25 | 10-15-0 | 40.0% | 1.5 | 1.4 | -0.1 |
| Jaleel McLaughlin | RB | DEN | 20 | 8-12-0 | 40.0% | 6.0 | 6.6 | +0.6 |
| Cam Ward | QB | TEN | 20 | 8-12-0 | 40.0% | 2.8 | 2.3 | -0.5 |
| Bhayshul Tuten | RB | JAX | 20 | 8-12-0 | 40.0% | 8.2 | 8.2 | -0.1 |
| Marcus Mariota | QB | WAS | 10 | 4-6-0 | 40.0% | 5.8 | 5.2 | -0.6 |
| Cam Akers | RB | MIN | 10 | 4-6-0 | 40.0% | 9.8 | 8.9 | -0.9 |
| Tua Tagovailoa | QB | MIA | 28 | 11-17-0 | 39.3% | 2.0 | 1.7 | -0.3 |
| Jalen Hurts | QB | PHI | 57 | 22-35-0 | 38.6% | 8.8 | 8.1 | -0.6 |
| Breece Hall | RB | NYJ | 50 | 19-31-0 | 38.0% | 14.3 | 13.7 | -0.6 |
| Alexander Mattison | RB | LV | 24 | 9-15-0 | 37.5% | 11.7 | 11.4 | -0.2 |
| Malik Willis | QB | MIA | 8 | 3-5-0 | 37.5% | 6.5 | 6.0 | -0.5 |
| Devon Achane | RB | MIA | 43 | 16-27-0 | 37.2% | 13.3 | 12.7 | -0.6 |
| Emanuel Wilson | RB | SEA | 19 | 7-12-0 | 36.8% | 7.7 | 8.3 | +0.6 |
| RJ Harvey | RB | DEN | 22 | 8-14-0 | 36.4% | 9.0 | 8.0 | -1.0 |
| Antonio Gibson | RB | NE | 11 | 4-7-0 | 36.4% | 7.7 | 6.5 | -1.2 |
| Ray Davis | RB | BUF | 11 | 4-7-0 | 36.4% | 5.2 | 4.4 | -0.9 |
| Nick Chubb | RB | HOU | 25 | 9-16-0 | 36.0% | 11.3 | 9.8 | -1.4 |
| Jordan Mason | RB | MIN | 25 | 9-16-0 | 36.0% | 13.6 | 12.3 | -1.3 |
| Anthony Richardson | QB | IND | 14 | 5-9-0 | 35.7% | 8.1 | 7.2 | -0.9 |
| Tyjae Spears | RB | TEN | 36 | 12-24-0 | 33.3% | 6.2 | 5.8 | -0.5 |
| Miles Sanders | RB | DAL | 21 | 7-14-0 | 33.3% | 8.1 | 7.2 | -0.9 |
| Zack Moss | RB | CIN | 15 | 5-10-0 | 33.3% | 13.0 | 12.9 | -0.1 |
| Braelon Allen | RB | NYJ | 19 | 6-13-0 | 31.6% | 8.3 | 7.6 | -0.7 |
| Kenny Gainwell | RB | TB | 32 | 10-22-0 | 31.3% | 5.9 | 5.1 | -0.8 |
| Aaron Rodgers | QB | PIT | 20 | 6-14-0 | 30.0% | 1.5 | 1.5 | +0.0 |
| Michael Penix Jr. | QB | ATL | 10 | 3-7-0 | 30.0% | 2.4 | 2.5 | +0.1 |
| Ollie Gordon II | RB | MIA | 10 | 3-7-0 | 30.0% | 6.2 | 5.0 | -1.2 |
| Sam Howell | QB | WAS | 14 | 4-10-0 | 28.6% | 3.4 | 2.8 | -0.6 |
| Jerome Ford | RB | CLE | 30 | 8-22-0 | 26.7% | 11.0 | 9.7 | -1.3 |
| Gardner Minshew II | QB | KC | 15 | 4-11-0 | 26.7% | 2.4 | 1.9 | -0.6 |
| Roschon Johnson | RB | CHI | 15 | 4-11-0 | 26.7% | 6.0 | 5.1 | -1.0 |
| Michael Carter | RB | ARI | 8 | 2-6-0 | 25.0% | 9.1 | 8.4 | -0.8 |
| Isaiah Davis | RB | NYJ | 8 | 2-6-0 | 25.0% | 4.0 | 2.5 | -1.5 |
| Kenny Pickett | QB | LV | 9 | 2-7-0 | 22.2% | 3.2 | 2.3 | -0.8 |
| Taysom Hill | TE | NO | 12 | 2-10-0 | 16.7% | 4.9 | 4.0 | -0.9 |