{
  "metadata": {
    "generated_at": "2026-04-02 09:03:44.935570",
    "n_days": "92268",
    "n_observations": 92268,
    "date_range": [
      "2025-04-01",
      "2026-03-26"
    ],
    "description": "Maps spread z-score to expected remaining range by time-of-day",
    "usage": "For time T, compute spread z-score = (current_spread - spread_mean) / spread_std. Then: expected_remaining = regression_intercept + regression_slope * zscore. Or use deciles for non-parametric mapping."
  },
  "tod_spread_baseline": {
    "10:00": {
      "spread_mean": 0.7014,
      "spread_std": 1.3428,
      "n": 7320
    },
    "10:30": {
      "spread_mean": 0.6543,
      "spread_std": 1.2935,
      "n": 7318
    },
    "11:00": {
      "spread_mean": 0.5886,
      "spread_std": 1.1045,
      "n": 7312
    },
    "11:30": {
      "spread_mean": 0.5523,
      "spread_std": 1.0195,
      "n": 7313
    },
    "12:00": {
      "spread_mean": 0.564,
      "spread_std": 1.205,
      "n": 7306
    },
    "12:30": {
      "spread_mean": 0.5308,
      "spread_std": 0.9888,
      "n": 7308
    },
    "13:00": {
      "spread_mean": 0.5623,
      "spread_std": 1.1949,
      "n": 7217
    },
    "13:30": {
      "spread_mean": 0.5324,
      "spread_std": 1.0024,
      "n": 7203
    },
    "14:00": {
      "spread_mean": 0.5422,
      "spread_std": 1.0263,
      "n": 7224
    },
    "14:30": {
      "spread_mean": 0.5887,
      "spread_std": 1.0958,
      "n": 7223
    },
    "15:00": {
      "spread_mean": 0.628,
      "spread_std": 1.1248,
      "n": 7199
    },
    "15:30": {
      "spread_mean": 0.8188,
      "spread_std": 1.115,
      "n": 6225
    },
    "9:30": {
      "spread_mean": 0.8744,
      "spread_std": 1.5644,
      "n": 6100
    }
  },
  "calibration": {
    "10:00": {
      "rho": 0.3213,
      "p": 1.9925792004004564e-175,
      "n": 7320,
      "spread_mean": 0.7014,
      "spread_std": 1.3428,
      "regression_slope": 13.997,
      "regression_intercept": 58.87,
      "baseline_range_mean": 58.87,
      "baseline_range_median": 46.5,
      "deciles": [
        {
          "decile": 1,
          "zscore_lo": -0.475,
          "zscore_hi": -0.386,
          "zscore_mid": -0.431,
          "n": 732,
          "remaining_range_mean": 45.61,
          "remaining_range_median": 39.63,
          "remaining_range_p25": 28.83,
          "remaining_range_p75": 52.39
        },
        {
          "decile": 2,
          "zscore_lo": -0.386,
          "zscore_hi": -0.354,
          "zscore_mid": -0.37,
          "n": 732,
          "remaining_range_mean": 46.23,
          "remaining_range_median": 39.35,
          "remaining_range_p25": 28.88,
          "remaining_range_p75": 53.2
        },
        {
          "decile": 3,
          "zscore_lo": -0.354,
          "zscore_hi": -0.322,
          "zscore_mid": -0.338,
          "n": 732,
          "remaining_range_mean": 45.2,
          "remaining_range_median": 39.61,
          "remaining_range_p25": 27.69,
          "remaining_range_p75": 52.62
        },
        {
          "decile": 4,
          "zscore_lo": -0.322,
          "zscore_hi": -0.287,
          "zscore_mid": -0.305,
          "n": 732,
          "remaining_range_mean": 48.12,
          "remaining_range_median": 40.94,
          "remaining_range_p25": 28.87,
          "remaining_range_p75": 57.22
        },
        {
          "decile": 5,
          "zscore_lo": -0.287,
          "zscore_hi": -0.248,
          "zscore_mid": -0.267,
          "n": 732,
          "remaining_range_mean": 50.02,
          "remaining_range_median": 42.7,
          "remaining_range_p25": 30.34,
          "remaining_range_p75": 60.72
        },
        {
          "decile": 6,
          "zscore_lo": -0.248,
          "zscore_hi": -0.201,
          "zscore_mid": -0.225,
          "n": 732,
          "remaining_range_mean": 49.8,
          "remaining_range_median": 43.68,
          "remaining_range_p25": 31.12,
          "remaining_range_p75": 59.58
        },
        {
          "decile": 7,
          "zscore_lo": -0.201,
          "zscore_hi": -0.135,
          "zscore_mid": -0.168,
          "n": 732,
          "remaining_range_mean": 57.53,
          "remaining_range_median": 49.64,
          "remaining_range_p25": 37.22,
          "remaining_range_p75": 72.06
        },
        {
          "decile": 8,
          "zscore_lo": -0.135,
          "zscore_hi": -0.022,
          "zscore_mid": -0.078,
          "n": 732,
          "remaining_range_mean": 61.64,
          "remaining_range_median": 53.86,
          "remaining_range_p25": 40.7,
          "remaining_range_p75": 72.73
        },
        {
          "decile": 9,
          "zscore_lo": -0.022,
          "zscore_hi": 0.317,
          "zscore_mid": 0.148,
          "n": 732,
          "remaining_range_mean": 76.75,
          "remaining_range_median": 64.27,
          "remaining_range_p25": 47.51,
          "remaining_range_p75": 91.49
        },
        {
          "decile": 10,
          "zscore_lo": 0.317,
          "zscore_hi": 12.897,
          "zscore_mid": 6.607,
          "n": 732,
          "remaining_range_mean": 107.86,
          "remaining_range_median": 71.01,
          "remaining_range_p25": 41.38,
          "remaining_range_p75": 129.78
        }
      ]
    },
    "10:30": {
      "rho": 0.2983,
      "p": 2.801185534156198e-150,
      "n": 7318,
      "spread_mean": 0.6543,
      "spread_std": 1.2935,
      "regression_slope": 11.404,
      "regression_intercept": 53.88,
      "baseline_range_mean": 53.88,
      "baseline_range_median": 41.41,
      "deciles": [
        {
          "decile": 1,
          "zscore_lo": -0.465,
          "zscore_hi": -0.369,
          "zscore_mid": -0.417,
          "n": 732,
          "remaining_range_mean": 40.71,
          "remaining_range_median": 36.46,
          "remaining_range_p25": 25.1,
          "remaining_range_p75": 48.49
        },
        {
          "decile": 2,
          "zscore_lo": -0.369,
          "zscore_hi": -0.34,
          "zscore_mid": -0.355,
          "n": 731,
          "remaining_range_mean": 41.16,
          "remaining_range_median": 34.46,
          "remaining_range_p25": 24.91,
          "remaining_range_p75": 49.35
        },
        {
          "decile": 3,
          "zscore_lo": -0.34,
          "zscore_hi": -0.31,
          "zscore_mid": -0.325,
          "n": 733,
          "remaining_range_mean": 44.5,
          "remaining_range_median": 36.63,
          "remaining_range_p25": 26.43,
          "remaining_range_p75": 51.67
        },
        {
          "decile": 4,
          "zscore_lo": -0.31,
          "zscore_hi": -0.276,
          "zscore_mid": -0.293,
          "n": 731,
          "remaining_range_mean": 46.04,
          "remaining_range_median": 39.03,
          "remaining_range_p25": 26.91,
          "remaining_range_p75": 55.33
        },
        {
          "decile": 5,
          "zscore_lo": -0.276,
          "zscore_hi": -0.241,
          "zscore_mid": -0.259,
          "n": 732,
          "remaining_range_mean": 43.1,
          "remaining_range_median": 36.7,
          "remaining_range_p25": 26.48,
          "remaining_range_p75": 51.51
        },
        {
          "decile": 6,
          "zscore_lo": -0.241,
          "zscore_hi": -0.198,
          "zscore_mid": -0.219,
          "n": 732,
          "remaining_range_mean": 46.33,
          "remaining_range_median": 38.86,
          "remaining_range_p25": 27.2,
          "remaining_range_p75": 55.33
        },
        {
          "decile": 7,
          "zscore_lo": -0.198,
          "zscore_hi": -0.133,
          "zscore_mid": -0.166,
          "n": 731,
          "remaining_range_mean": 53.6,
          "remaining_range_median": 44.84,
          "remaining_range_p25": 32.14,
          "remaining_range_p75": 64.59
        },
        {
          "decile": 8,
          "zscore_lo": -0.133,
          "zscore_hi": -0.022,
          "zscore_mid": -0.078,
          "n": 732,
          "remaining_range_mean": 56.52,
          "remaining_range_median": 48.3,
          "remaining_range_p25": 32.8,
          "remaining_range_p75": 69.47
        },
        {
          "decile": 9,
          "zscore_lo": -0.022,
          "zscore_hi": 0.272,
          "zscore_mid": 0.125,
          "n": 732,
          "remaining_range_mean": 67.08,
          "remaining_range_median": 55.96,
          "remaining_range_p25": 40.86,
          "remaining_range_p75": 77.78
        },
        {
          "decile": 10,
          "zscore_lo": 0.272,
          "zscore_hi": 17.456,
          "zscore_mid": 8.864,
          "n": 732,
          "remaining_range_mean": 99.71,
          "remaining_range_median": 61.58,
          "remaining_range_p25": 39.01,
          "remaining_range_p75": 122.99
        }
      ]
    },
    "11:00": {
      "rho": 0.3022,
      "p": 2.9885337872824e-154,
      "n": 7312,
      "spread_mean": 0.5886,
      "spread_std": 1.1045,
      "regression_slope": 11.747,
      "regression_intercept": 49.37,
      "baseline_range_mean": 49.37,
      "baseline_range_median": 39.35,
      "deciles": [
        {
          "decile": 1,
          "zscore_lo": -0.488,
          "zscore_hi": -0.382,
          "zscore_mid": -0.435,
          "n": 728,
          "remaining_range_mean": 37.0,
          "remaining_range_median": 32.29,
          "remaining_range_p25": 22.64,
          "remaining_range_p75": 45.2
        },
        {
          "decile": 2,
          "zscore_lo": -0.382,
          "zscore_hi": -0.349,
          "zscore_mid": -0.365,
          "n": 735,
          "remaining_range_mean": 36.88,
          "remaining_range_median": 32.29,
          "remaining_range_p25": 22.17,
          "remaining_range_p75": 45.32
        },
        {
          "decile": 3,
          "zscore_lo": -0.349,
          "zscore_hi": -0.316,
          "zscore_mid": -0.332,
          "n": 731,
          "remaining_range_mean": 39.48,
          "remaining_range_median": 34.46,
          "remaining_range_p25": 23.11,
          "remaining_range_p75": 47.76
        },
        {
          "decile": 4,
          "zscore_lo": -0.316,
          "zscore_hi": -0.281,
          "zscore_mid": -0.299,
          "n": 731,
          "remaining_range_mean": 40.12,
          "remaining_range_median": 34.14,
          "remaining_range_p25": 23.0,
          "remaining_range_p75": 49.57
        },
        {
          "decile": 5,
          "zscore_lo": -0.281,
          "zscore_hi": -0.239,
          "zscore_mid": -0.26,
          "n": 731,
          "remaining_range_mean": 42.66,
          "remaining_range_median": 36.33,
          "remaining_range_p25": 23.31,
          "remaining_range_p75": 55.03
        },
        {
          "decile": 6,
          "zscore_lo": -0.239,
          "zscore_hi": -0.188,
          "zscore_mid": -0.213,
          "n": 731,
          "remaining_range_mean": 42.49,
          "remaining_range_median": 37.36,
          "remaining_range_p25": 23.75,
          "remaining_range_p75": 55.15
        },
        {
          "decile": 7,
          "zscore_lo": -0.188,
          "zscore_hi": -0.115,
          "zscore_mid": -0.151,
          "n": 731,
          "remaining_range_mean": 48.25,
          "remaining_range_median": 40.89,
          "remaining_range_p25": 27.49,
          "remaining_range_p75": 57.65
        },
        {
          "decile": 8,
          "zscore_lo": -0.115,
          "zscore_hi": -0.003,
          "zscore_mid": -0.059,
          "n": 731,
          "remaining_range_mean": 51.49,
          "remaining_range_median": 45.2,
          "remaining_range_p25": 29.59,
          "remaining_range_p75": 63.06
        },
        {
          "decile": 9,
          "zscore_lo": -0.003,
          "zscore_hi": 0.298,
          "zscore_mid": 0.148,
          "n": 731,
          "remaining_range_mean": 62.88,
          "remaining_range_median": 52.71,
          "remaining_range_p25": 34.46,
          "remaining_range_p75": 70.82
        },
        {
          "decile": 10,
          "zscore_lo": 0.298,
          "zscore_hi": 14.947,
          "zscore_mid": 7.622,
          "n": 732,
          "remaining_range_mean": 92.41,
          "remaining_range_median": 60.18,
          "remaining_range_p25": 36.96,
          "remaining_range_p75": 125.64
        }
      ]
    },
    "11:30": {
      "rho": 0.2962,
      "p": 5.2938538375910305e-148,
      "n": 7313,
      "spread_mean": 0.5523,
      "spread_std": 1.0195,
      "regression_slope": 12.079,
      "regression_intercept": 45.83,
      "baseline_range_mean": 45.83,
      "baseline_range_median": 35.85,
      "deciles": [
        {
          "decile": 1,
          "zscore_lo": -0.493,
          "zscore_hi": -0.381,
          "zscore_mid": -0.437,
          "n": 731,
          "remaining_range_mean": 34.64,
          "remaining_range_median": 29.12,
          "remaining_range_p25": 21.36,
          "remaining_range_p75": 43.64
        },
        {
          "decile": 2,
          "zscore_lo": -0.381,
          "zscore_hi": -0.346,
          "zscore_mid": -0.363,
          "n": 706,
          "remaining_range_mean": 34.47,
          "remaining_range_median": 28.41,
          "remaining_range_p25": 20.35,
          "remaining_range_p75": 43.66
        },
        {
          "decile": 3,
          "zscore_lo": -0.346,
          "zscore_hi": -0.314,
          "zscore_mid": -0.33,
          "n": 757,
          "remaining_range_mean": 35.72,
          "remaining_range_median": 29.59,
          "remaining_range_p25": 20.82,
          "remaining_range_p75": 45.2
        },
        {
          "decile": 4,
          "zscore_lo": -0.314,
          "zscore_hi": -0.276,
          "zscore_mid": -0.295,
          "n": 731,
          "remaining_range_mean": 38.54,
          "remaining_range_median": 33.2,
          "remaining_range_p25": 22.17,
          "remaining_range_p75": 51.67
        },
        {
          "decile": 5,
          "zscore_lo": -0.276,
          "zscore_hi": -0.234,
          "zscore_mid": -0.255,
          "n": 731,
          "remaining_range_mean": 39.96,
          "remaining_range_median": 32.88,
          "remaining_range_p25": 21.86,
          "remaining_range_p75": 54.03
        },
        {
          "decile": 6,
          "zscore_lo": -0.234,
          "zscore_hi": -0.179,
          "zscore_mid": -0.206,
          "n": 732,
          "remaining_range_mean": 40.35,
          "remaining_range_median": 34.5,
          "remaining_range_p25": 21.85,
          "remaining_range_p75": 49.78
        },
        {
          "decile": 7,
          "zscore_lo": -0.179,
          "zscore_hi": -0.104,
          "zscore_mid": -0.141,
          "n": 731,
          "remaining_range_mean": 43.12,
          "remaining_range_median": 34.94,
          "remaining_range_p25": 22.31,
          "remaining_range_p75": 55.09
        },
        {
          "decile": 8,
          "zscore_lo": -0.104,
          "zscore_hi": 0.022,
          "zscore_mid": -0.041,
          "n": 731,
          "remaining_range_mean": 47.11,
          "remaining_range_median": 39.45,
          "remaining_range_p25": 25.29,
          "remaining_range_p75": 55.96
        },
        {
          "decile": 9,
          "zscore_lo": 0.022,
          "zscore_hi": 0.323,
          "zscore_mid": 0.172,
          "n": 731,
          "remaining_range_mean": 58.78,
          "remaining_range_median": 50.12,
          "remaining_range_p25": 34.46,
          "remaining_range_p75": 67.17
        },
        {
          "decile": 10,
          "zscore_lo": 0.323,
          "zscore_hi": 16.082,
          "zscore_mid": 8.202,
          "n": 732,
          "remaining_range_mean": 85.55,
          "remaining_range_median": 57.88,
          "remaining_range_p25": 36.21,
          "remaining_range_p75": 102.57
        }
      ]
    },
    "12:00": {
      "rho": 0.3101,
      "p": 1.3614129875747996e-162,
      "n": 7306,
      "spread_mean": 0.564,
      "spread_std": 1.205,
      "regression_slope": 11.949,
      "regression_intercept": 43.05,
      "baseline_range_mean": 43.05,
      "baseline_range_median": 33.2,
      "deciles": [
        {
          "decile": 1,
          "zscore_lo": -0.427,
          "zscore_hi": -0.335,
          "zscore_mid": -0.381,
          "n": 731,
          "remaining_range_mean": 31.69,
          "remaining_range_median": 25.23,
          "remaining_range_p25": 19.6,
          "remaining_range_p75": 38.41
        },
        {
          "decile": 2,
          "zscore_lo": -0.335,
          "zscore_hi": -0.307,
          "zscore_mid": -0.321,
          "n": 730,
          "remaining_range_mean": 31.96,
          "remaining_range_median": 25.23,
          "remaining_range_p25": 18.53,
          "remaining_range_p75": 39.91
        },
        {
          "decile": 3,
          "zscore_lo": -0.307,
          "zscore_hi": -0.282,
          "zscore_mid": -0.294,
          "n": 731,
          "remaining_range_mean": 33.21,
          "remaining_range_median": 26.32,
          "remaining_range_p25": 18.72,
          "remaining_range_p75": 41.82
        },
        {
          "decile": 4,
          "zscore_lo": -0.282,
          "zscore_hi": -0.252,
          "zscore_mid": -0.267,
          "n": 730,
          "remaining_range_mean": 35.68,
          "remaining_range_median": 28.61,
          "remaining_range_p25": 20.03,
          "remaining_range_p75": 48.25
        },
        {
          "decile": 5,
          "zscore_lo": -0.252,
          "zscore_hi": -0.219,
          "zscore_mid": -0.236,
          "n": 731,
          "remaining_range_mean": 36.55,
          "remaining_range_median": 28.88,
          "remaining_range_p25": 19.23,
          "remaining_range_p75": 49.03
        },
        {
          "decile": 6,
          "zscore_lo": -0.219,
          "zscore_hi": -0.174,
          "zscore_mid": -0.197,
          "n": 730,
          "remaining_range_mean": 37.88,
          "remaining_range_median": 31.19,
          "remaining_range_p25": 20.62,
          "remaining_range_p75": 48.54
        },
        {
          "decile": 7,
          "zscore_lo": -0.174,
          "zscore_hi": -0.113,
          "zscore_mid": -0.144,
          "n": 731,
          "remaining_range_mean": 40.45,
          "remaining_range_median": 33.27,
          "remaining_range_p25": 21.23,
          "remaining_range_p75": 54.12
        },
        {
          "decile": 8,
          "zscore_lo": -0.113,
          "zscore_hi": -0.012,
          "zscore_mid": -0.062,
          "n": 730,
          "remaining_range_mean": 47.05,
          "remaining_range_median": 38.41,
          "remaining_range_p25": 24.28,
          "remaining_range_p75": 55.92
        },
        {
          "decile": 9,
          "zscore_lo": -0.012,
          "zscore_hi": 0.25,
          "zscore_mid": 0.119,
          "n": 731,
          "remaining_range_mean": 55.99,
          "remaining_range_median": 47.76,
          "remaining_range_p25": 29.64,
          "remaining_range_p75": 63.6
        },
        {
          "decile": 10,
          "zscore_lo": 0.25,
          "zscore_hi": 15.635,
          "zscore_mid": 7.942,
          "n": 731,
          "remaining_range_mean": 80.05,
          "remaining_range_median": 57.55,
          "remaining_range_p25": 33.13,
          "remaining_range_p75": 98.02
        }
      ]
    },
    "12:30": {
      "rho": 0.3275,
      "p": 2.838336969541364e-182,
      "n": 7308,
      "spread_mean": 0.5308,
      "spread_std": 0.9888,
      "regression_slope": 12.204,
      "regression_intercept": 40.23,
      "baseline_range_mean": 40.23,
      "baseline_range_median": 30.91,
      "deciles": [
        {
          "decile": 1,
          "zscore_lo": -0.486,
          "zscore_hi": -0.378,
          "zscore_mid": -0.432,
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