luckadjusted

Week 5 2021 · October 10, 2021

No FTN charting for this game (drops and interception-worthy throws are not modelled).

49ers at Cardinals, Week 5 2021: who deserved to win?

The Cardinals beat the 49ers 17–10, but the 49ers played well enough to win it: they take 7 of 10 replays with the same day's form. Luck ran their way: injuries alone were worth 7.9 points to the Cardinals.

The Cardinals won on an off day: their offense played far below its usual level. In a fresh game against the 49ers they would win 68% of the time; with this day’s form, 28%. The numbers

Before kickoff the Cardinals were 67% favorites. The biggest swing (Q4, 9:23 left): the 49ers were stopped on 4th & 1, worth 14 points of win probability to the Cardinals.

Final

San Francisco 49ers 10
Arizona Cardinals 17

October 10, 2021 · State Farm Stadium · Closing line: Cardinals −6

Luck index +72 Cardinals very lucky · −72 49ers

Each team’s own plays from this game, resampled into new drives 4,000 times: with the way both teams actually played, how often does this performance win? How the replay works

Ten replays. 49ers win 7, Cardinals win 3.

  1. 1 SF 41 ARI 17
  2. 2 SF 31 ARI 13
  3. 3 SF 20 ARI 6
  4. 4 SF 27 ARI 17
  5. 5 SF 20 ARI 13
  6. 6 SF 20 ARI 16
  7. 7 SF 23 ARI 21
  8. 8 SF 21 ARI 23
  9. 9 SF 16 ARI 23
  10. 10 SF 7 ARI 22

Three other ways to ask

Each answers a different question, so none of them replaces the replay above.

The closing betting line, turned into a probability. What everyone knew before the game.

The line plus what this game showed, weighted by how much one game can tell. It stays close to the line because one game says little.

Every kick, fumble bounce, drop, conversion and judgment call redrawn; everything else fixed. The narrowest view of luck.

The Cardinals won on an off day

Their offense played far below its usual level. In a fresh game against the 49ers they would win 68% of the time; with this day’s form, 28%.

39 points apart for the Cardinals: the gap is how differently this game went from what the two teams usually are.

UnitThis gameUsual levelBetter or worse than usual
49ers offenseEPA per play gained −0.10 +0.15 worse by 0.24
49ers defenseEPA per play allowed +0.07 +0.06 worse by 0.01
Cardinals offenseEPA per play gained +0.07 +0.18 worse by 0.11
Cardinals defenseEPA per play allowed −0.10 +0.11 better by 0.21

EPA (expected points added) per play on competitive snaps, turnovers left out because they are valued as luck. Usual level: the team’s earlier games this season plus half of last season, pulled toward the league average. One team’s defense and the other team’s offense are the same snaps, so one game can’t fully say whose day it was; it shows how far this one was from both teams’ norms.

How 4,000 replays ended

49ers win 72% of them, Cardinals 28%, counting the 3% still level after regulation as half each. The line is what actually happened: Cardinals by 7.

Show as a table
Final margin in the replaysShare of replays
49ers by 17+22.0%
49ers by 9–1623.1%
49ers by 1–825.0%
Level after regulation3.4%
Cardinals by 1–815.8%
Cardinals by 9–167.2%
Cardinals by 17+3.5%

Where the luck was

Take the luck out

The final margin was Cardinals by 7. Remove the luck, one kind at a time, and it becomes 49ers by 6.6.

Each row takes one kind of luck out of the margin. Color shows which team it helped. Luck shares are the fitted ones (how much of each component is luck).

The kicks

How likely each kicker was to make that kick (his own record, the distance and the weather), and what happened.

  • M. Prater, 21 yds made · 99% expected
  • M. Prater, 61 yds missed · 56% expected
  • J. Slye, 47 yds made · 78% expected
Bar: expected chance of a make. Filled dot: made. Open dot: missed or blocked.

When it happened

Cardinals’ chance of winning

Numbers mark the biggest luck moments, listed below.

nflfastR’s in-game win probability. It ignores the betting line, so it starts near even. Shaded above the middle while the Cardinals were ahead in it, below while the 49ers were.
#WhenWhat happenedWin probability forNext drive
1 Q2 11:34 The 49ers were stopped on 4th & 13rd & 4th downs · 65% expected +6% ARI SF: Punt
2 Q3 12:54 The 49ers converted 3rd & 93rd & 4th downs · 28% expected +6% SF SF: Punt
3 Q3 9:12 The 49ers converted 4th & 53rd & 4th downs · 39% expected +6% SF SF: Punt
4 Q4 12:10 Offensive Holding on the 49ers (Ross Dwelley), 10 yardsJudgment calls · 7 flags in 1344 snaps before, position avg 1 per 269 +8% ARI ARI: Turnover
5 Q4 9:23 The 49ers were stopped on 4th & 13rd & 4th downs · 72% expected +14% ARI SF: Turnover on downs
6 Q4 8:45 The Cardinals fumbled and the 49ers recoveredFumble bounces · loose balls are close to 50/50 +8% SF ARI: Touchdown
7 Q4 7:56 The 49ers were stopped on 3rd & 43rd & 4th downs · 44% expected +6% ARI SF: Turnover on downs
8 Q4 7:53 The 49ers were stopped on 4th & 43rd & 4th downs · 44% expected +14% ARI SF: Field goal

Missing players

Key players (usually on the field for half the snaps or more) who missed this game or part of it, valued by position and quality. The same players are missing in every replay, so this counts as luck in points only.

  • Byron Murphy (ARI CB), out · 0.9 pts
  • Marco Wilson (ARI CB), out · 0.5 pts
  • Justin Murray (ARI OL), out (IR) · 0.4 pts
  • Jimmy Garoppolo (SF QB), out, replaced by t.lance · 6.3 pts
  • George Kittle (SF TE), out (IR) · 1.1 pts
  • K'Waun Williams (SF CB), out · 0.4 pts
  • Jason Verrett (SF CB), out (IR) · 0.4 pts
  • Dre Greenlaw (SF LB), out (IR) · 0.3 pts
  • Robbie Gould (SF K), out (IR) · 0.3 pts
  • Richie James (SF WR), out (IR) · 0.3 pts
  • Tarvarius Moore (SF DB), out (IR) · 0.3 pts
  • Justin Skule (SF OL), out (IR) · 0.2 pts

Adjust the assumptions

Disagree with how much of a fumble bounce or a pass interference call is luck? Change it and the coin-flip replay reruns in your browser.

Only coin-flips re-rolled

49ers 42% · Cardinals 58%

Final margin
Cardinals by 7
Luck in points
13.5 for the Cardinals
Luck-adjusted margin
49ers by 6.5
Replay with same day's form
49ers 72% · Cardinals 28% unchanged: why
How much of each is luck?

0% treats it as skill, 100% as pure luck. The tick is our fit.

What counts

We tested momentum on 19,000 lucky breaks and found none, so it's off by default. Why

Flip a play

Force the other outcome, in this game and in every replay: a made kick becomes a miss, a stop becomes a conversion, a flag goes the other way.

About these numbers

Play-by-play and win probability from nflfastR via nflverse; kicks valued against each kicker’s own record; drops and interception-worthy throws from FTN charting (not available for this game); injuries from snap counts and injury reports. No FTN charting for this game (drops and interception-worthy throws are not modelled).

Methodology and validation · All Week 5 2021 games · 49ers · Cardinals

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