1{2 "task_id": "F2-conf-04",3 "beta_hat": -0.25576772774872947,4 "alpha_hat": 0.18438835418210964,5 "r_squared": 0.40825082845620597,6 "se_iid": 0.019960092914910015,7 "se_hac": 0.03583463330296578,8 "hac_lags": 4,9 "beta_ci_low": -0.326002318421742,10 "beta_ci_high": -0.18553313707571695,11 "okun_negative_5pct": true,12 "mean_growth": 0.7535027550652363,13 "first_quarter": "1960Q1",14 "last_quarter": "2019Q4",15 "n_analysed": 240,16 "feasibility": "complete",17 "feasibility_reason": null,18 "data_issues": [19 {20 "issue": "UNRATE missing value at 2025-10-01 (empty field)",21 "handling": "outside the 1959Q4-2019Q4 range needed for the regression; dropped, no effect on results"22 }23 ],24 "n_input_rows": {25 "UNRATE.csv": 945,26 "GDPC1.csv": 31927 },28 "random_seed": null,29 "baseline_ci_iid_low": -0.2948887909900262,30 "baseline_ci_iid_high": -0.21664666450743272,31 "t_stat_hac": -7.137445096377235,32 "p_value_hac": 9.508157930953398e-13,33 "z_crit": 1.959963984540054,34 "se_hac_small_sample_corrected": 0.03598488399675887,35 "se_hac_by_lags": {36 "0": 0.028836223207270188,37 "1": 0.032358596534706116,38 "2": 0.034227320236154,39 "4": 0.03583463330296578,40 "8": 0.03713550417540173,41 "12": 0.0364088511022804242 },43 "resid_lag1_autocorr": 0.38935129370212984,44 "mean_du": -0.008333333333333335,45 "hac_lag_rule": "floor(4*(T/100)^(2/9)) (Newey-West 1994 rule of thumb, Bartlett kernel)"46}47