origin_date,target_date,horizon,forecast,actual,model,last_target_date_used,last_predictor_date_used 2022-05-01,2022-06-01,1,4.9335,5.9571,naive,2022-03-01, 2022-05-01,2022-06-01,1,4.713444,5.9571,direct_ols_ar_emp,2022-03-01,2022-04-01 2022-05-01,2022-08-01,3,4.9335,4.8317,naive,2022-03-01, 2022-05-01,2022-08-01,3,4.392103,4.8317,direct_ols_ar_emp,2022-03-01,2022-04-01 2022-06-01,2022-07-01,1,6.0468,5.3974,naive,2022-04-01, 2022-06-01,2022-07-01,1,5.821549,5.3974,direct_ols_ar_emp,2022-04-01,2022-05-01 2022-06-01,2022-09-01,3,6.0468,4.5593,naive,2022-04-01, 2022-06-01,2022-09-01,3,5.170763,4.5593,direct_ols_ar_emp,2022-04-01,2022-05-01 2022-07-01,2022-08-01,1,6.5129,4.8317,naive,2022-05-01, 2022-07-01,2022-08-01,1,6.076919,4.8317,direct_ols_ar_emp,2022-05-01,2022-06-01 2022-07-01,2022-10-01,3,6.5129,3.5699,naive,2022-05-01, 2022-07-01,2022-10-01,3,5.336869,3.5699,direct_ols_ar_emp,2022-05-01,2022-06-01 2022-08-01,2022-09-01,1,5.9571,4.5593,naive,2022-06-01, 2022-08-01,2022-09-01,1,5.60936,4.5593,direct_ols_ar_emp,2022-06-01,2022-07-01 2022-08-01,2022-11-01,3,5.9571,2.9749,naive,2022-06-01, 2022-08-01,2022-11-01,3,5.005893,2.9749,direct_ols_ar_emp,2022-06-01,2022-07-01 2022-09-01,2022-10-01,1,5.3974,3.5699,naive,2022-07-01, 2022-09-01,2022-10-01,1,5.086859,3.5699,direct_ols_ar_emp,2022-07-01,2022-08-01 2022-09-01,2022-12-01,3,5.3974,2.2516,naive,2022-07-01, 2022-09-01,2022-12-01,3,4.613027,2.2516,direct_ols_ar_emp,2022-07-01,2022-08-01 2022-10-01,2022-11-01,1,4.8317,2.9749,naive,2022-08-01, 2022-10-01,2022-11-01,1,4.503206,2.9749,direct_ols_ar_emp,2022-08-01,2022-09-01 2022-10-01,2023-01-01,3,4.8317,3.4862,naive,2022-08-01, 2022-10-01,2023-01-01,3,4.136203,3.4862,direct_ols_ar_emp,2022-08-01,2022-09-01 2022-11-01,2022-12-01,1,4.5593,2.2516,naive,2022-09-01, 2022-11-01,2022-12-01,1,4.300371,2.2516,direct_ols_ar_emp,2022-09-01,2022-10-01 2022-11-01,2023-02-01,3,4.5593,2.7447,naive,2022-09-01, 2022-11-01,2023-02-01,3,3.979331,2.7447,direct_ols_ar_emp,2022-09-01,2022-10-01 2022-12-01,2023-01-01,1,3.5699,3.4862,naive,2022-10-01, 2022-12-01,2023-01-01,1,3.42844,3.4862,direct_ols_ar_emp,2022-10-01,2022-11-01 2022-12-01,2023-03-01,3,3.5699,2.4408,naive,2022-10-01, 2022-12-01,2023-03-01,3,3.246526,2.4408,direct_ols_ar_emp,2022-10-01,2022-11-01 2023-01-01,2023-02-01,1,2.9749,2.7447,naive,2022-11-01, 2023-01-01,2023-02-01,1,2.944943,2.7447,direct_ols_ar_emp,2022-11-01,2022-12-01 2023-01-01,2023-04-01,3,2.9749,2.4286,naive,2022-11-01, 2023-01-01,2023-04-01,3,2.846678,2.4286,direct_ols_ar_emp,2022-11-01,2022-12-01 2023-02-01,2023-03-01,1,2.2516,2.4408,naive,2022-12-01, 2023-02-01,2023-03-01,1,2.506984,2.4408,direct_ols_ar_emp,2022-12-01,2023-01-01 2023-02-01,2023-05-01,3,2.2516,2.2154,naive,2022-12-01, 2023-02-01,2023-05-01,3,2.50872,2.2154,direct_ols_ar_emp,2022-12-01,2023-01-01 2023-03-01,2023-04-01,1,3.4862,2.4286,naive,2023-01-01, 2023-03-01,2023-04-01,1,3.348003,2.4286,direct_ols_ar_emp,2023-01-01,2023-02-01 2023-03-01,2023-06-01,3,3.4862,1.6614,naive,2023-01-01, 2023-03-01,2023-06-01,3,3.157843,1.6614,direct_ols_ar_emp,2023-01-01,2023-02-01 2023-04-01,2023-05-01,1,2.7447,2.2154,naive,2023-02-01, 2023-04-01,2023-05-01,1,2.781486,2.2154,direct_ols_ar_emp,2023-02-01,2023-03-01 2023-04-01,2023-07-01,3,2.7447,1.6246,naive,2023-02-01, 2023-04-01,2023-07-01,3,2.699965,1.6246,direct_ols_ar_emp,2023-02-01,2023-03-01 2023-05-01,2023-06-01,1,2.4408,1.6614,naive,2023-03-01, 2023-05-01,2023-06-01,1,2.520419,1.6614,direct_ols_ar_emp,2023-03-01,2023-04-01 2023-05-01,2023-08-01,3,2.4408,1.369,naive,2023-03-01, 2023-05-01,2023-08-01,3,2.486036,1.369,direct_ols_ar_emp,2023-03-01,2023-04-01 2023-06-01,2023-07-01,1,2.4286,1.6246,naive,2023-04-01, 2023-06-01,2023-07-01,1,2.483588,1.6246,direct_ols_ar_emp,2023-04-01,2023-05-01 2023-06-01,2023-09-01,3,2.4286,1.1132,naive,2023-04-01, 2023-06-01,2023-09-01,3,2.457127,1.1132,direct_ols_ar_emp,2023-04-01,2023-05-01 2023-07-01,2023-08-01,1,2.2154,1.369,naive,2023-05-01, 2023-07-01,2023-08-01,1,2.343878,1.369,direct_ols_ar_emp,2023-05-01,2023-06-01 2023-07-01,2023-10-01,3,2.2154,1.3324,naive,2023-05-01, 2023-07-01,2023-10-01,3,2.348005,1.3324,direct_ols_ar_emp,2023-05-01,2023-06-01 2023-08-01,2023-09-01,1,1.6614,1.1132,naive,2023-06-01, 2023-08-01,2023-09-01,1,1.884854,1.1132,direct_ols_ar_emp,2023-06-01,2023-07-01 2023-08-01,2023-11-01,3,1.6614,1.7142,naive,2023-06-01, 2023-08-01,2023-11-01,3,1.978466,1.7142,direct_ols_ar_emp,2023-06-01,2023-07-01 2023-09-01,2023-10-01,1,1.6246,1.3324,naive,2023-07-01, 2023-09-01,2023-10-01,1,1.871528,1.3324,direct_ols_ar_emp,2023-07-01,2023-08-01 2023-09-01,2023-12-01,3,1.6246,1.8857,naive,2023-07-01, 2023-09-01,2023-12-01,3,1.960373,1.8857,direct_ols_ar_emp,2023-07-01,2023-08-01 2023-10-01,2023-11-01,1,1.369,1.7142,naive,2023-08-01, 2023-10-01,2023-11-01,1,1.654424,1.7142,direct_ols_ar_emp,2023-08-01,2023-09-01 2023-10-01,2024-01-01,3,1.369,1.1884,naive,2023-08-01, 2023-10-01,2024-01-01,3,1.78372,1.1884,direct_ols_ar_emp,2023-08-01,2023-09-01 2023-11-01,2023-12-01,1,1.1132,1.8857,naive,2023-09-01, 2023-11-01,2023-12-01,1,1.407029,1.8857,direct_ols_ar_emp,2023-09-01,2023-10-01 2023-11-01,2024-02-01,3,1.1132,1.4547,naive,2023-09-01, 2023-11-01,2024-02-01,3,1.580165,1.4547,direct_ols_ar_emp,2023-09-01,2023-10-01 2023-12-01,2024-01-01,1,1.3324,1.1884,naive,2023-10-01, 2023-12-01,2024-01-01,1,1.56465,1.1884,direct_ols_ar_emp,2023-10-01,2023-11-01 2023-12-01,2024-03-01,3,1.3324,1.1964,naive,2023-10-01, 2023-12-01,2024-03-01,3,1.696892,1.1964,direct_ols_ar_emp,2023-10-01,2023-11-01 2024-01-01,2024-02-01,1,1.7142,1.4547,naive,2023-11-01, 2024-01-01,2024-02-01,1,1.860938,1.4547,direct_ols_ar_emp,2023-11-01,2023-12-01 2024-01-01,2024-04-01,3,1.7142,1.5521,naive,2023-11-01, 2024-01-01,2024-04-01,3,1.930643,1.5521,direct_ols_ar_emp,2023-11-01,2023-12-01 2024-02-01,2024-03-01,1,1.8857,1.1964,naive,2023-12-01, 2024-02-01,2024-03-01,1,1.987171,1.1964,direct_ols_ar_emp,2023-12-01,2024-01-01 2024-02-01,2024-05-01,3,1.8857,1.6785,naive,2023-12-01, 2024-02-01,2024-05-01,3,2.029154,1.6785,direct_ols_ar_emp,2023-12-01,2024-01-01 2024-03-01,2024-04-01,1,1.1884,1.5521,naive,2024-01-01, 2024-03-01,2024-04-01,1,1.412045,1.5521,direct_ols_ar_emp,2024-01-01,2024-02-01 2024-03-01,2024-06-01,3,1.1884,2.0314,naive,2024-01-01, 2024-03-01,2024-06-01,3,1.558957,2.0314,direct_ols_ar_emp,2024-01-01,2024-02-01 2024-04-01,2024-05-01,1,1.4547,1.6785,naive,2024-02-01, 2024-04-01,2024-05-01,1,1.612104,1.6785,direct_ols_ar_emp,2024-02-01,2024-03-01 2024-04-01,2024-07-01,3,1.4547,2.12,naive,2024-02-01, 2024-04-01,2024-07-01,3,1.727338,2.12,direct_ols_ar_emp,2024-02-01,2024-03-01 2024-05-01,2024-06-01,1,1.1964,2.0314,naive,2024-03-01, 2024-05-01,2024-06-01,1,1.400343,2.0314,direct_ols_ar_emp,2024-03-01,2024-04-01 2024-05-01,2024-08-01,3,1.1964,2.1932,naive,2024-03-01, 2024-05-01,2024-08-01,3,1.552095,2.1932,direct_ols_ar_emp,2024-03-01,2024-04-01 2024-06-01,2024-07-01,1,1.5521,2.12,naive,2024-04-01, 2024-06-01,2024-07-01,1,1.698196,2.12,direct_ols_ar_emp,2024-04-01,2024-05-01 2024-06-01,2024-09-01,3,1.5521,2.5041,naive,2024-04-01, 2024-06-01,2024-09-01,3,1.78597,2.5041,direct_ols_ar_emp,2024-04-01,2024-05-01 2024-07-01,2024-08-01,1,1.6785,2.1932,naive,2024-05-01, 2024-07-01,2024-08-01,1,1.78473,2.1932,direct_ols_ar_emp,2024-05-01,2024-06-01 2024-07-01,2024-10-01,3,1.6785,2.8193,naive,2024-05-01, 2024-07-01,2024-10-01,3,1.86118,2.8193,direct_ols_ar_emp,2024-05-01,2024-06-01 2024-08-01,2024-09-01,1,2.0314,2.5041,naive,2024-06-01, 2024-08-01,2024-09-01,1,2.073541,2.5041,direct_ols_ar_emp,2024-06-01,2024-07-01 2024-08-01,2024-11-01,3,2.0314,2.3398,naive,2024-06-01, 2024-08-01,2024-11-01,3,2.098164,2.3398,direct_ols_ar_emp,2024-06-01,2024-07-01 2024-09-01,2024-10-01,1,2.12,2.8193,naive,2024-07-01, 2024-09-01,2024-10-01,1,2.139213,2.8193,direct_ols_ar_emp,2024-07-01,2024-08-01 2024-09-01,2024-12-01,3,2.12,2.6735,naive,2024-07-01, 2024-09-01,2024-12-01,3,2.155647,2.6735,direct_ols_ar_emp,2024-07-01,2024-08-01 2024-10-01,2024-11-01,1,2.1932,2.3398,naive,2024-08-01, 2024-10-01,2024-11-01,1,2.196392,2.3398,direct_ols_ar_emp,2024-08-01,2024-09-01 2024-10-01,2025-01-01,3,2.1932,2.9557,naive,2024-08-01, 2024-10-01,2025-01-01,3,2.205287,2.9557,direct_ols_ar_emp,2024-08-01,2024-09-01 2024-11-01,2024-12-01,1,2.5041,2.6735,naive,2024-09-01, 2024-11-01,2024-12-01,1,2.444946,2.6735,direct_ols_ar_emp,2024-09-01,2024-10-01 2024-11-01,2025-02-01,3,2.5041,2.1683,naive,2024-09-01, 2024-11-01,2025-02-01,3,2.409745,2.1683,direct_ols_ar_emp,2024-09-01,2024-10-01 2024-12-01,2025-01-01,1,2.8193,2.9557,naive,2024-10-01, 2024-12-01,2025-01-01,1,2.70779,2.9557,direct_ols_ar_emp,2024-10-01,2024-11-01 2024-12-01,2025-03-01,3,2.8193,2.3227,naive,2024-10-01, 2024-12-01,2025-03-01,3,2.621688,2.3227,direct_ols_ar_emp,2024-10-01,2024-11-01 2025-01-01,2025-02-01,1,2.3398,2.1683,naive,2024-11-01, 2025-01-01,2025-02-01,1,2.342594,2.1683,direct_ols_ar_emp,2024-11-01,2024-12-01 2025-01-01,2025-04-01,3,2.3398,1.8738,naive,2024-11-01, 2025-01-01,2025-04-01,3,2.32148,1.8738,direct_ols_ar_emp,2024-11-01,2024-12-01 2025-02-01,2025-03-01,1,2.6735,2.3227,naive,2024-12-01, 2025-02-01,2025-03-01,1,2.622823,2.3227,direct_ols_ar_emp,2024-12-01,2025-01-01 2025-02-01,2025-05-01,3,2.6735,1.5619,naive,2024-12-01, 2025-02-01,2025-05-01,3,2.546855,1.5619,direct_ols_ar_emp,2024-12-01,2025-01-01 2025-03-01,2025-04-01,1,2.9557,1.8738,naive,2025-01-01, 2025-03-01,2025-04-01,1,2.84056,1.8738,direct_ols_ar_emp,2025-01-01,2025-02-01 2025-03-01,2025-06-01,3,2.9557,1.2753,naive,2025-01-01, 2025-03-01,2025-06-01,3,2.727049,1.2753,direct_ols_ar_emp,2025-01-01,2025-02-01 2025-04-01,2025-05-01,1,2.1683,1.5619,naive,2025-02-01, 2025-04-01,2025-05-01,1,2.186604,1.5619,direct_ols_ar_emp,2025-02-01,2025-03-01 2025-04-01,2025-07-01,3,2.1683,1.7373,naive,2025-02-01, 2025-04-01,2025-07-01,3,2.202867,1.7373,direct_ols_ar_emp,2025-02-01,2025-03-01 2025-05-01,2025-06-01,1,2.3227,1.2753,naive,2025-03-01, 2025-05-01,2025-06-01,1,2.296684,1.2753,direct_ols_ar_emp,2025-03-01,2025-04-01 2025-05-01,2025-08-01,3,2.3227,1.5573,naive,2025-03-01, 2025-05-01,2025-08-01,3,2.294317,1.5573,direct_ols_ar_emp,2025-03-01,2025-04-01 2025-06-01,2025-07-01,1,1.8738,1.7373,naive,2025-04-01, 2025-06-01,2025-07-01,1,1.922041,1.7373,direct_ols_ar_emp,2025-04-01,2025-05-01 2025-06-01,2025-09-01,3,1.8738,1.5074,naive,2025-04-01, 2025-06-01,2025-09-01,3,1.995011,1.5074,direct_ols_ar_emp,2025-04-01,2025-05-01 2025-07-01,2025-08-01,1,1.5619,1.5573,naive,2025-05-01, 2025-07-01,2025-08-01,1,1.683959,1.5573,direct_ols_ar_emp,2025-05-01,2025-06-01 2025-07-01,2025-10-01,3,1.5619,0.806,naive,2025-05-01, 2025-07-01,2025-10-01,3,1.797392,0.806,direct_ols_ar_emp,2025-05-01,2025-06-01 2025-08-01,2025-09-01,1,1.2753,1.5074,naive,2025-06-01, 2025-08-01,2025-09-01,1,1.436944,1.5074,direct_ols_ar_emp,2025-06-01,2025-07-01 2025-08-01,2025-11-01,3,1.2753,1.1039,naive,2025-06-01, 2025-08-01,2025-11-01,3,1.599497,1.1039,direct_ols_ar_emp,2025-06-01,2025-07-01 2025-09-01,2025-10-01,1,1.7373,0.806,naive,2025-07-01, 2025-09-01,2025-10-01,1,1.78496,0.806,direct_ols_ar_emp,2025-07-01,2025-08-01 2025-09-01,2025-12-01,3,1.7373,1.0085,naive,2025-07-01, 2025-09-01,2025-12-01,3,1.886062,1.0085,direct_ols_ar_emp,2025-07-01,2025-08-01 2025-10-01,2025-11-01,1,1.5573,1.1039,naive,2025-08-01, 2025-10-01,2025-11-01,1,1.642955,1.1039,direct_ols_ar_emp,2025-08-01,2025-09-01 2025-10-01,2026-01-01,3,1.5573,0.4466,naive,2025-08-01, 2025-10-01,2026-01-01,3,1.767919,0.4466,direct_ols_ar_emp,2025-08-01,2025-09-01 2025-11-01,2025-12-01,1,1.5074,1.0085,naive,2025-09-01, 2025-11-01,2025-12-01,1,1.620382,1.0085,direct_ols_ar_emp,2025-09-01,2025-10-01 2025-11-01,2026-02-01,3,1.5074,0.7697,naive,2025-09-01, 2025-11-01,2026-02-01,3,1.743072,0.7697,direct_ols_ar_emp,2025-09-01,2025-10-01 2025-12-01,2026-01-01,1,0.806,0.4466,naive,2025-10-01, 2025-12-01,2026-01-01,1,1.050726,0.4466,direct_ols_ar_emp,2025-10-01,2025-11-01 2025-12-01,2026-03-01,3,0.806,0.4175,naive,2025-10-01, 2025-12-01,2026-03-01,3,1.279897,0.4175,direct_ols_ar_emp,2025-10-01,2025-11-01 2026-01-01,2026-02-01,1,1.1039,0.7697,naive,2025-11-01, 2026-01-01,2026-02-01,1,1.266639,0.7697,direct_ols_ar_emp,2025-11-01,2025-12-01 2026-01-01,2026-04-01,3,1.1039,1.1488,naive,2025-11-01, 2026-01-01,2026-04-01,3,1.461261,1.1488,direct_ols_ar_emp,2025-11-01,2025-12-01 2026-02-01,2026-03-01,1,1.0085,0.4175,naive,2025-12-01, 2026-02-01,2026-03-01,1,1.164231,0.4175,direct_ols_ar_emp,2025-12-01,2026-01-01 2026-02-01,2026-05-01,3,1.0085,1.6466,naive,2025-12-01, 2026-02-01,2026-05-01,3,1.383101,1.6466,direct_ols_ar_emp,2025-12-01,2026-01-01 2026-03-01,2026-04-01,1,0.4466,1.1488,naive,2026-01-01, 2026-03-01,2026-04-01,1,0.680374,1.1488,direct_ols_ar_emp,2026-01-01,2026-02-01 2026-03-01,2026-06-01,3,0.4466,2.0909,naive,2026-01-01, 2026-03-01,2026-06-01,3,0.993357,2.0909,direct_ols_ar_emp,2026-01-01,2026-02-01 2026-04-01,2026-05-01,1,0.7697,1.6466,naive,2026-02-01, 2026-04-01,2026-05-01,1,0.950706,1.6466,direct_ols_ar_emp,2026-02-01,2026-03-01 2026-04-01,2026-07-01,3,0.7697,1.4203,naive,2026-02-01, 2026-04-01,2026-07-01,3,1.206986,1.4203,direct_ols_ar_emp,2026-02-01,2026-03-01