{
  "design": "Walk-forward Weeks 2-9 receiving-yards estimates using only earlier player and team rows. Air-yard model = prior same-team player air-yards share × prior same-team mean team air yards × prior player receiving-yards/air-yard efficiency. Compared with full-history and same-team receiving-yard means.",
  "prediction_count": 1583,
  "overall": {
    "all_history_mean": {
      "n": 1583,
      "mae": 21.228,
      "rmse": 30.087,
      "bias": -0.646
    },
    "same_team_mean": {
      "n": 1583,
      "mae": 21.234,
      "rmse": 30.092,
      "bias": -0.64
    },
    "air_yards_share_model": {
      "n": 1583,
      "mae": 21.145,
      "rmse": 30.068,
      "bias": -1.612
    }
  },
  "by_prior_team_change": {
    "changed": {
      "all_history_mean": {
        "n": 2,
        "mae": 9.317,
        "rmse": 12.6,
        "bias": 9.317
      },
      "same_team_mean": {
        "n": 2,
        "mae": 14,
        "rmse": 19.799,
        "bias": 14
      },
      "air_yards_share_model": {
        "n": 2,
        "mae": 13.864,
        "rmse": 19.433,
        "bias": 13.864
      }
    },
    "stable": {
      "all_history_mean": {
        "n": 1581,
        "mae": 21.243,
        "rmse": 30.103,
        "bias": -0.658
      },
      "same_team_mean": {
        "n": 1581,
        "mae": 21.243,
        "rmse": 30.103,
        "bias": -0.658
      },
      "air_yards_share_model": {
        "n": 1581,
        "mae": 21.154,
        "rmse": 30.079,
        "bias": -1.632
      }
    }
  },
  "limitations": [
    "Team aggregates sum only crosswalk-mapped rows; 12 NFLverse records remain unmapped.",
    "Air-yards share and efficiency are derived from nflverse; no official NFL route participation is available in this source.",
    "One receiving-yard row conflicts with Sleeper; this evaluation uses nflverse as labeled.",
    "Small Weeks 1-9 retrospective sample; exploratory only and not an untouched final holdout."
  ],
  "predictions": [
    {
      "sleeper_id": "1479",
      "gsis_id": "00-0030279",
      "position": "WR",
      "team": "IND",
      "week": 2,
      "actual": 5,
      "all_history_mean": 32,
      "same_team_mean": 32,
      "air_yards_forecast": 30.089552238805982,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "IND"
      ]
    },
    {
      "sleeper_id": "1466",
      "gsis_id": "00-0030506",
      "position": "TE",
      "team": "KC",
      "week": 2,
      "actual": 101,
      "all_history_mean": 71,
      "same_team_mean": 71,
      "air_yards_forecast": 62.45864661654137,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "KC"
      ]
    },
    {
      "sleeper_id": "2133",
      "gsis_id": "00-0031381",
      "position": "WR",
      "team": "LA",
      "week": 2,
      "actual": 195,
      "all_history_mean": 26,
      "same_team_mean": 26,
      "air_yards_forecast": 26.40784313725494,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "LA"
      ]
    },
    {
      "sleeper_id": "2216",
      "gsis_id": "00-0031408",
      "position": "WR",
      "team": "SF",
      "week": 2,
      "actual": 54,
      "all_history_mean": 49,
      "same_team_mean": 49,
      "air_yards_forecast": 49.328859060402756,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "SF"
      ]
    },
    {
      "sleeper_id": "2449",
      "gsis_id": "00-0031588",
      "position": "WR",
      "team": "WAS",
      "week": 2,
      "actual": 47,
      "all_history_mean": 55,
      "same_team_mean": 55,
      "air_yards_forecast": 44.41640378548889,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "WAS"
      ]
    },
    {
      "sleeper_id": "2505",
      "gsis_id": "00-0031610",
      "position": "TE",
      "team": "CAR",
      "week": 2,
      "actual": 33,
      "all_history_mean": 28,
      "same_team_mean": 28,
      "air_yards_forecast": 25.704918032786935,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "CAR"
      ]
    },
    {
      "sleeper_id": "3269",
      "gsis_id": "00-0032398",
      "position": "WR",
      "team": "BAL",
      "week": 2,
      "actual": 6,
      "all_history_mean": 53,
      "same_team_mean": 53,
      "air_yards_forecast": 52.99999999999992,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "BAL"
      ]
    },
    {
      "sleeper_id": "3634",
      "gsis_id": "00-0032464",
      "position": "WR",
      "team": "CHI",
      "week": 2,
      "actual": 40,
      "all_history_mean": 84,
      "same_team_mean": 84,
      "air_yards_forecast": 74.25705329153591,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "CHI"
      ]
    },
    {
      "sleeper_id": "3286",
      "gsis_id": "00-0032775",
      "position": "WR",
      "team": "SF",
      "week": 2,
      "actual": 34,
      "all_history_mean": 50,
      "same_team_mean": 50,
      "air_yards_forecast": 50.335570469798675,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "SF"
      ]
    },
    {
      "sleeper_id": "3155",
      "gsis_id": "00-0032951",
      "position": "WR",
      "team": "IND",
      "week": 2,
      "actual": 61,
      "all_history_mean": 0,
      "same_team_mean": 0,
      "air_yards_forecast": 0,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "IND"
      ]
    },
    {
      "sleeper_id": "3214",
      "gsis_id": "00-0033090",
      "position": "TE",
      "team": "NE",
      "week": 2,
      "actual": 40,
      "all_history_mean": 26,
      "same_team_mean": 26,
      "air_yards_forecast": 24.11764705882355,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "NE"
      ]
    },
    {
      "sleeper_id": "4217",
      "gsis_id": "00-0033288",
      "position": "TE",
      "team": "SF",
      "week": 2,
      "actual": 80,
      "all_history_mean": 12,
      "same_team_mean": 12,
      "air_yards_forecast": 12.080536912751683,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "SF"
      ]
    },
    {
      "sleeper_id": "4199",
      "gsis_id": "00-0033293",
      "position": "RB",
      "team": "MIN",
      "week": 2,
      "actual": 0,
      "all_history_mean": 0,
      "same_team_mean": 0,
      "air_yards_forecast": 0,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "MIN"
      ]
    },
    {
      "sleeper_id": "4454",
      "gsis_id": "00-0033307",
      "position": "WR",
      "team": "ARI",
      "week": 2,
      "actual": 11,
      "all_history_mean": 75,
      "same_team_mean": 75,
      "air_yards_forecast": 75.00000000000023,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "ARI"
      ]
    },
    {
      "sleeper_id": "4147",
      "gsis_id": "00-0033526",
      "position": "RB",
      "team": "CIN",
      "week": 2,
      "actual": 16,
      "all_history_mean": 30,
      "same_team_mean": 30,
      "air_yards_forecast": 29.99999999999991,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "CIN"
      ]
    },
    {
      "sleeper_id": "4177",
      "gsis_id": "00-0033555",
      "position": "WR",
      "team": "NE",
      "week": 2,
      "actual": 18,
      "all_history_mean": 51,
      "same_team_mean": 51,
      "air_yards_forecast": 47.30769230769225,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "NE"
      ]
    },
    {
      "sleeper_id": "4066",
      "gsis_id": "00-0033881",
      "position": "TE",
      "team": "DEN",
      "week": 2,
      "actual": 17,
      "all_history_mean": 43,
      "same_team_mean": 43,
      "air_yards_forecast": 48.608695652173786,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "DEN"
      ]
    },
    {
      "sleeper_id": "4033",
      "gsis_id": "00-0033885",
      "position": "TE",
      "team": "LAC",
      "week": 2,
      "actual": 9,
      "all_history_mean": 58,
      "same_team_mean": 58,
      "air_yards_forecast": 58.000000000000256,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "LAC"
      ]
    },
    {
      "sleeper_id": "4039",
      "gsis_id": "00-0033908",
      "position": "WR",
      "team": "SEA",
      "week": 2,
      "actual": 20,
      "all_history_mean": 35,
      "same_team_mean": 35,
      "air_yards_forecast": 34.99999999999998,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "SEA"
      ]
    },
    {
      "sleeper_id": "4037",
      "gsis_id": "00-0033921",
      "position": "WR",
      "team": "TB",
      "week": 2,
      "actual": 46,
      "all_history_mean": 40,
      "same_team_mean": 40,
      "air_yards_forecast": 36.92307692307696,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "TB"
      ]
    },
    {
      "sleeper_id": "5045",
      "gsis_id": "00-0034348",
      "position": "WR",
      "team": "DEN",
      "week": 2,
      "actual": 25,
      "all_history_mean": 11,
      "same_team_mean": 11,
      "air_yards_forecast": 12.434782608695647,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "DEN"
      ]
    },
    {
      "sleeper_id": "5022",
      "gsis_id": "00-0034351",
      "position": "TE",
      "team": "PHI",
      "week": 2,
      "actual": 4,
      "all_history_mean": 77,
      "same_team_mean": 77,
      "air_yards_forecast": 73.57777777777774,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "PHI"
      ]
    },
    {
      "sleeper_id": "5001",
      "gsis_id": "00-0034383",
      "position": "TE",
      "team": "HOU",
      "week": 2,
      "actual": 140,
      "all_history_mean": 35,
      "same_team_mean": 35,
      "air_yards_forecast": 32.06521739130434,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "HOU"
      ]
    },
    {
      "sleeper_id": "5012",
      "gsis_id": "00-0034753",
      "position": "TE",
      "team": "BAL",
      "week": 2,
      "actual": 49,
      "all_history_mean": 49,
      "same_team_mean": 49,
      "air_yards_forecast": 49.000000000000064,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "BAL"
      ]
    },
    {
      "sleeper_id": "5008",
      "gsis_id": "00-0034798",
      "position": "TE",
      "team": "BAL",
      "week": 2,
      "actual": 0,
      "all_history_mean": 4,
      "same_team_mean": 4,
      "air_yards_forecast": 3.9999999999999916,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "BAL"
      ]
    },
    {
      "sleeper_id": "4983",
      "gsis_id": "00-0034827",
      "position": "WR",
      "team": "BUF",
      "week": 2,
      "actual": 0,
      "all_history_mean": 100,
      "same_team_mean": 100,
      "air_yards_forecast": 93.73368146214099,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "BUF"
      ]
    },
    {
      "sleeper_id": "5947",
      "gsis_id": "00-0034960",
      "position": "WR",
      "team": "JAX",
      "week": 2,
      "actual": 28,
      "all_history_mean": 40,
      "same_team_mean": 40,
      "air_yards_forecast": 36.859504132231514,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "JAX"
      ]
    },
    {
      "sleeper_id": "5985",
      "gsis_id": "00-0034981",
      "position": "TE",
      "team": "HOU",
      "week": 2,
      "actual": 34,
      "all_history_mean": 15,
      "same_team_mean": 15,
      "air_yards_forecast": 13.742236024844715,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "HOU"
      ]
    },
    {
      "sleeper_id": "6271",
      "gsis_id": "00-0035208",
      "position": "WR",
      "team": "ATL",
      "week": 2,
      "actual": 3,
      "all_history_mean": 5,
      "same_team_mean": 5,
      "air_yards_forecast": 4.870129870129867,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "ATL"
      ]
    },
    {
      "sleeper_id": "5844",
      "gsis_id": "00-0035229",
      "position": "TE",
      "team": "MIN",
      "week": 2,
      "actual": 29,
      "all_history_mean": 36,
      "same_team_mean": 36,
      "air_yards_forecast": 35.18181818181819,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "MIN"
      ]
    },
    {
      "sleeper_id": "5973",
      "gsis_id": "00-0035249",
      "position": "TE",
      "team": "MIN",
      "week": 2,
      "actual": 24,
      "all_history_mean": 22,
      "same_team_mean": 22,
      "air_yards_forecast": 21.50000000000001,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "MIN"
      ]
    },
    {
      "sleeper_id": "5967",
      "gsis_id": "00-0035261",
      "position": "RB",
      "team": "TEN",
      "week": 2,
      "actual": 1,
      "all_history_mean": -1,
      "same_team_mean": -1,
      "air_yards_forecast": -0.8631578947368406,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "TEN"
      ]
    },
    {
      "sleeper_id": "5846",
      "gsis_id": "00-0035640",
      "position": "WR",
      "team": "PIT",
      "week": 2,
      "actual": 27,
      "all_history_mean": 40,
      "same_team_mean": 40,
      "air_yards_forecast": 38.132678132678116,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "PIT"
      ]
    },
    {
      "sleeper_id": "5857",
      "gsis_id": "00-0035644",
      "position": "TE",
      "team": "NO",
      "week": 2,
      "actual": 0,
      "all_history_mean": 33,
      "same_team_mean": 33,
      "air_yards_forecast": 31.770186335403718,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "NO"
      ]
    },
    {
      "sleeper_id": "5927",
      "gsis_id": "00-0035659",
      "position": "WR",
      "team": "WAS",
      "week": 2,
      "actual": 50,
      "all_history_mean": 14,
      "same_team_mean": 14,
      "air_yards_forecast": 11.305993690851734,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "WAS"
      ]
    },
    {
      "sleeper_id": "5892",
      "gsis_id": "00-0035685",
      "position": "RB",
      "team": "HOU",
      "week": 2,
      "actual": 14,
      "all_history_mean": 19,
      "same_team_mean": 19,
      "air_yards_forecast": 17.40683229813664,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "HOU"
      ]
    },
    {
      "sleeper_id": "5906",
      "gsis_id": "00-0035689",
      "position": "TE",
      "team": "BUF",
      "week": 2,
      "actual": 5,
      "all_history_mean": 7,
      "same_team_mean": 7,
      "air_yards_forecast": 6.561357702349874,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "BUF"
      ]
    },
    {
      "sleeper_id": "5872",
      "gsis_id": "00-0035719",
      "position": "WR",
      "team": "SF",
      "week": 2,
      "actual": 31,
      "all_history_mean": 48,
      "same_team_mean": 48,
      "air_yards_forecast": 48.32214765100688,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "SF"
      ]
    },
    {
      "sleeper_id": "7039",
      "gsis_id": "00-0035891",
      "position": "WR",
      "team": "LV",
      "week": 2,
      "actual": 24,
      "all_history_mean": 0,
      "same_team_mean": 0,
      "air_yards_forecast": 0,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "LV"
      ]
    },
    {
      "sleeper_id": "7002",
      "gsis_id": "00-0036040",
      "position": "TE",
      "team": "NO",
      "week": 2,
      "actual": 66,
      "all_history_mean": 54,
      "same_team_mean": 54,
      "air_yards_forecast": 51.98757763975141,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "NO"
      ]
    },
    {
      "sleeper_id": "7021",
      "gsis_id": "00-0036139",
      "position": "RB",
      "team": "PIT",
      "week": 2,
      "actual": 22,
      "all_history_mean": 6,
      "same_team_mean": 6,
      "air_yards_forecast": 5.719901719901721,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "PIT"
      ]
    },
    {
      "sleeper_id": "6865",
      "gsis_id": "00-0036244",
      "position": "TE",
      "team": "LA",
      "week": 2,
      "actual": 15,
      "all_history_mean": 6,
      "same_team_mean": 6,
      "air_yards_forecast": 6.09411764705882,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "LA"
      ]
    },
    {
      "sleeper_id": "6790",
      "gsis_id": "00-0036275",
      "position": "RB",
      "team": "CHI",
      "week": 2,
      "actual": 54,
      "all_history_mean": 10,
      "same_team_mean": 10,
      "air_yards_forecast": 8.840125391849561,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "CHI"
      ]
    },
    {
      "sleeper_id": "6826",
      "gsis_id": "00-0036290",
      "position": "TE",
      "team": "CHI",
      "week": 2,
      "actual": 0,
      "all_history_mean": 35,
      "same_team_mean": 35,
      "air_yards_forecast": 30.940438871473315,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "CHI"
      ]
    },
    {
      "sleeper_id": "7090",
      "gsis_id": "00-0036309",
      "position": "WR",
      "team": "NYG",
      "week": 2,
      "actual": 48,
      "all_history_mean": 27,
      "same_team_mean": 27,
      "air_yards_forecast": 27.000000000000107,
      "role_changed": false,
      "prior_weeks": [
        1
      ],
      "prior_teams": [
        "NYG"
      ]
    },
    {
      "sleeper_id": "6794",
      "gsis_id": "00-0036322",
      "position": "WR",
      "team": "MIN",
      "week": 2,
      "actual": 55,
      "all_history_mean": 92,
      "same_team_mean": 92,
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}
