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, 2022-05-01,2022-06-01,1,4.713443515915146,5.9571,direct_ardl_emp,2022-03-01,2022-04-01 2022-05-01,2022-08-01,3,4.9335,4.8317,naive,2022-03-01, 2022-05-01,2022-08-01,3,4.392102871283835,4.8317,direct_ardl_emp,2022-03-01,2022-04-01 2022-06-01,2022-07-01,1,6.0468,5.3974,naive,2022-04-01, 2022-06-01,2022-07-01,1,5.821548532468652,5.3974,direct_ardl_emp,2022-04-01,2022-05-01 2022-06-01,2022-09-01,3,6.0468,4.5593,naive,2022-04-01, 2022-06-01,2022-09-01,3,5.17076259767614,4.5593,direct_ardl_emp,2022-04-01,2022-05-01 2022-07-01,2022-08-01,1,6.5129,4.8317,naive,2022-05-01, 2022-07-01,2022-08-01,1,6.076919461810839,4.8317,direct_ardl_emp,2022-05-01,2022-06-01 2022-07-01,2022-10-01,3,6.5129,3.5699,naive,2022-05-01, 2022-07-01,2022-10-01,3,5.336869152429304,3.5699,direct_ardl_emp,2022-05-01,2022-06-01 2022-08-01,2022-09-01,1,5.9571,4.5593,naive,2022-06-01, 2022-08-01,2022-09-01,1,5.609360031699046,4.5593,direct_ardl_emp,2022-06-01,2022-07-01 2022-08-01,2022-11-01,3,5.9571,2.9749,naive,2022-06-01, 2022-08-01,2022-11-01,3,5.005893373079217,2.9749,direct_ardl_emp,2022-06-01,2022-07-01 2022-09-01,2022-10-01,1,5.3974,3.5699,naive,2022-07-01, 2022-09-01,2022-10-01,1,5.086858735476046,3.5699,direct_ardl_emp,2022-07-01,2022-08-01 2022-09-01,2022-12-01,3,5.3974,2.2516,naive,2022-07-01, 2022-09-01,2022-12-01,3,4.613027241963304,2.2516,direct_ardl_emp,2022-07-01,2022-08-01 2022-10-01,2022-11-01,1,4.8317,2.9749,naive,2022-08-01, 2022-10-01,2022-11-01,1,4.503206333036198,2.9749,direct_ardl_emp,2022-08-01,2022-09-01 2022-10-01,2023-01-01,3,4.8317,3.4862,naive,2022-08-01, 2022-10-01,2023-01-01,3,4.1362025730777185,3.4862,direct_ardl_emp,2022-08-01,2022-09-01 2022-11-01,2022-12-01,1,4.5593,2.2516,naive,2022-09-01, 2022-11-01,2022-12-01,1,4.300371098022399,2.2516,direct_ardl_emp,2022-09-01,2022-10-01 2022-11-01,2023-02-01,3,4.5593,2.7447,naive,2022-09-01, 2022-11-01,2023-02-01,3,3.9793314395502515,2.7447,direct_ardl_emp,2022-09-01,2022-10-01 2022-12-01,2023-01-01,1,3.5699,3.4862,naive,2022-10-01, 2022-12-01,2023-01-01,1,3.428439644754596,3.4862,direct_ardl_emp,2022-10-01,2022-11-01 2022-12-01,2023-03-01,3,3.5699,2.4408,naive,2022-10-01, 2022-12-01,2023-03-01,3,3.2465264203359676,2.4408,direct_ardl_emp,2022-10-01,2022-11-01 2023-01-01,2023-02-01,1,2.9749,2.7447,naive,2022-11-01, 2023-01-01,2023-02-01,1,2.9449434002057444,2.7447,direct_ardl_emp,2022-11-01,2022-12-01 2023-01-01,2023-04-01,3,2.9749,2.4286,naive,2022-11-01, 2023-01-01,2023-04-01,3,2.846677523316027,2.4286,direct_ardl_emp,2022-11-01,2022-12-01 2023-02-01,2023-03-01,1,2.2516,2.4408,naive,2022-12-01, 2023-02-01,2023-03-01,1,2.5069843468904014,2.4408,direct_ardl_emp,2022-12-01,2023-01-01 2023-02-01,2023-05-01,3,2.2516,2.2154,naive,2022-12-01, 2023-02-01,2023-05-01,3,2.5087195959643225,2.2154,direct_ardl_emp,2022-12-01,2023-01-01 2023-03-01,2023-04-01,1,3.4862,2.4286,naive,2023-01-01, 2023-03-01,2023-04-01,1,3.3480025136952385,2.4286,direct_ardl_emp,2023-01-01,2023-02-01 2023-03-01,2023-06-01,3,3.4862,1.6614,naive,2023-01-01, 2023-03-01,2023-06-01,3,3.157843313743653,1.6614,direct_ardl_emp,2023-01-01,2023-02-01 2023-04-01,2023-05-01,1,2.7447,2.2154,naive,2023-02-01, 2023-04-01,2023-05-01,1,2.7814861506910002,2.2154,direct_ardl_emp,2023-02-01,2023-03-01 2023-04-01,2023-07-01,3,2.7447,1.6246,naive,2023-02-01, 2023-04-01,2023-07-01,3,2.699964701544516,1.6246,direct_ardl_emp,2023-02-01,2023-03-01 2023-05-01,2023-06-01,1,2.4408,1.6614,naive,2023-03-01, 2023-05-01,2023-06-01,1,2.520419231926729,1.6614,direct_ardl_emp,2023-03-01,2023-04-01 2023-05-01,2023-08-01,3,2.4408,1.369,naive,2023-03-01, 2023-05-01,2023-08-01,3,2.486035688139082,1.369,direct_ardl_emp,2023-03-01,2023-04-01 2023-06-01,2023-07-01,1,2.4286,1.6246,naive,2023-04-01, 2023-06-01,2023-07-01,1,2.483587760838493,1.6246,direct_ardl_emp,2023-04-01,2023-05-01 2023-06-01,2023-09-01,3,2.4286,1.1132,naive,2023-04-01, 2023-06-01,2023-09-01,3,2.457126611409273,1.1132,direct_ardl_emp,2023-04-01,2023-05-01 2023-07-01,2023-08-01,1,2.2154,1.369,naive,2023-05-01, 2023-07-01,2023-08-01,1,2.343877714514651,1.369,direct_ardl_emp,2023-05-01,2023-06-01 2023-07-01,2023-10-01,3,2.2154,1.3324,naive,2023-05-01, 2023-07-01,2023-10-01,3,2.3480045758629338,1.3324,direct_ardl_emp,2023-05-01,2023-06-01 2023-08-01,2023-09-01,1,1.6614,1.1132,naive,2023-06-01, 2023-08-01,2023-09-01,1,1.8848541574929092,1.1132,direct_ardl_emp,2023-06-01,2023-07-01 2023-08-01,2023-11-01,3,1.6614,1.7142,naive,2023-06-01, 2023-08-01,2023-11-01,3,1.9784663690392545,1.7142,direct_ardl_emp,2023-06-01,2023-07-01 2023-09-01,2023-10-01,1,1.6246,1.3324,naive,2023-07-01, 2023-09-01,2023-10-01,1,1.8715283713959878,1.3324,direct_ardl_emp,2023-07-01,2023-08-01 2023-09-01,2023-12-01,3,1.6246,1.8857,naive,2023-07-01, 2023-09-01,2023-12-01,3,1.9603729563066539,1.8857,direct_ardl_emp,2023-07-01,2023-08-01 2023-10-01,2023-11-01,1,1.369,1.7142,naive,2023-08-01, 2023-10-01,2023-11-01,1,1.654423872572868,1.7142,direct_ardl_emp,2023-08-01,2023-09-01 2023-10-01,2024-01-01,3,1.369,1.1884,naive,2023-08-01, 2023-10-01,2024-01-01,3,1.7837200005753204,1.1884,direct_ardl_emp,2023-08-01,2023-09-01 2023-11-01,2023-12-01,1,1.1132,1.8857,naive,2023-09-01, 2023-11-01,2023-12-01,1,1.4070292962176174,1.8857,direct_ardl_emp,2023-09-01,2023-10-01 2023-11-01,2024-02-01,3,1.1132,1.4547,naive,2023-09-01, 2023-11-01,2024-02-01,3,1.5801652988723929,1.4547,direct_ardl_emp,2023-09-01,2023-10-01 2023-12-01,2024-01-01,1,1.3324,1.1884,naive,2023-10-01, 2023-12-01,2024-01-01,1,1.5646504420851204,1.1884,direct_ardl_emp,2023-10-01,2023-11-01 2023-12-01,2024-03-01,3,1.3324,1.1964,naive,2023-10-01, 2023-12-01,2024-03-01,3,1.6968921128222882,1.1964,direct_ardl_emp,2023-10-01,2023-11-01 2024-01-01,2024-02-01,1,1.7142,1.4547,naive,2023-11-01, 2024-01-01,2024-02-01,1,1.8609383212906385,1.4547,direct_ardl_emp,2023-11-01,2023-12-01 2024-01-01,2024-04-01,3,1.7142,1.5521,naive,2023-11-01, 2024-01-01,2024-04-01,3,1.9306427376431914,1.5521,direct_ardl_emp,2023-11-01,2023-12-01 2024-02-01,2024-03-01,1,1.8857,1.1964,naive,2023-12-01, 2024-02-01,2024-03-01,1,1.9871712302892273,1.1964,direct_ardl_emp,2023-12-01,2024-01-01 2024-02-01,2024-05-01,3,1.8857,1.6785,naive,2023-12-01, 2024-02-01,2024-05-01,3,2.029153865193163,1.6785,direct_ardl_emp,2023-12-01,2024-01-01 2024-03-01,2024-04-01,1,1.1884,1.5521,naive,2024-01-01, 2024-03-01,2024-04-01,1,1.4120453835149274,1.5521,direct_ardl_emp,2024-01-01,2024-02-01 2024-03-01,2024-06-01,3,1.1884,2.0314,naive,2024-01-01, 2024-03-01,2024-06-01,3,1.5589572629264543,2.0314,direct_ardl_emp,2024-01-01,2024-02-01 2024-04-01,2024-05-01,1,1.4547,1.6785,naive,2024-02-01, 2024-04-01,2024-05-01,1,1.6121037337530062,1.6785,direct_ardl_emp,2024-02-01,2024-03-01 2024-04-01,2024-07-01,3,1.4547,2.12,naive,2024-02-01, 2024-04-01,2024-07-01,3,1.7273382436252478,2.12,direct_ardl_emp,2024-02-01,2024-03-01 2024-05-01,2024-06-01,1,1.1964,2.0314,naive,2024-03-01, 2024-05-01,2024-06-01,1,1.4003426256906655,2.0314,direct_ardl_emp,2024-03-01,2024-04-01 2024-05-01,2024-08-01,3,1.1964,2.1932,naive,2024-03-01, 2024-05-01,2024-08-01,3,1.5520954274493386,2.1932,direct_ardl_emp,2024-03-01,2024-04-01 2024-06-01,2024-07-01,1,1.5521,2.12,naive,2024-04-01, 2024-06-01,2024-07-01,1,1.698196263698622,2.12,direct_ardl_emp,2024-04-01,2024-05-01 2024-06-01,2024-09-01,3,1.5521,2.5041,naive,2024-04-01, 2024-06-01,2024-09-01,3,1.7859704277365875,2.5041,direct_ardl_emp,2024-04-01,2024-05-01 2024-07-01,2024-08-01,1,1.6785,2.1932,naive,2024-05-01, 2024-07-01,2024-08-01,1,1.784730463831644,2.1932,direct_ardl_emp,2024-05-01,2024-06-01 2024-07-01,2024-10-01,3,1.6785,2.8193,naive,2024-05-01, 2024-07-01,2024-10-01,3,1.8611798415671494,2.8193,direct_ardl_emp,2024-05-01,2024-06-01 2024-08-01,2024-09-01,1,2.0314,2.5041,naive,2024-06-01, 2024-08-01,2024-09-01,1,2.073541292523543,2.5041,direct_ardl_emp,2024-06-01,2024-07-01 2024-08-01,2024-11-01,3,2.0314,2.3398,naive,2024-06-01, 2024-08-01,2024-11-01,3,2.098164265576195,2.3398,direct_ardl_emp,2024-06-01,2024-07-01 2024-09-01,2024-10-01,1,2.12,2.8193,naive,2024-07-01, 2024-09-01,2024-10-01,1,2.1392126951198276,2.8193,direct_ardl_emp,2024-07-01,2024-08-01 2024-09-01,2024-12-01,3,2.12,2.6735,naive,2024-07-01, 2024-09-01,2024-12-01,3,2.1556468975419665,2.6735,direct_ardl_emp,2024-07-01,2024-08-01 2024-10-01,2024-11-01,1,2.1932,2.3398,naive,2024-08-01, 2024-10-01,2024-11-01,1,2.196391927533128,2.3398,direct_ardl_emp,2024-08-01,2024-09-01 2024-10-01,2025-01-01,3,2.1932,2.9557,naive,2024-08-01, 2024-10-01,2025-01-01,3,2.2052870913400584,2.9557,direct_ardl_emp,2024-08-01,2024-09-01 2024-11-01,2024-12-01,1,2.5041,2.6735,naive,2024-09-01, 2024-11-01,2024-12-01,1,2.4449462325601456,2.6735,direct_ardl_emp,2024-09-01,2024-10-01 2024-11-01,2025-02-01,3,2.5041,2.1683,naive,2024-09-01, 2024-11-01,2025-02-01,3,2.409744968392067,2.1683,direct_ardl_emp,2024-09-01,2024-10-01 2024-12-01,2025-01-01,1,2.8193,2.9557,naive,2024-10-01, 2024-12-01,2025-01-01,1,2.707789533825179,2.9557,direct_ardl_emp,2024-10-01,2024-11-01 2024-12-01,2025-03-01,3,2.8193,2.3227,naive,2024-10-01, 2024-12-01,2025-03-01,3,2.621688363882332,2.3227,direct_ardl_emp,2024-10-01,2024-11-01 2025-01-01,2025-02-01,1,2.3398,2.1683,naive,2024-11-01, 2025-01-01,2025-02-01,1,2.3425935451622286,2.1683,direct_ardl_emp,2024-11-01,2024-12-01 2025-01-01,2025-04-01,3,2.3398,1.8738,naive,2024-11-01, 2025-01-01,2025-04-01,3,2.321479532130235,1.8738,direct_ardl_emp,2024-11-01,2024-12-01 2025-02-01,2025-03-01,1,2.6735,2.3227,naive,2024-12-01, 2025-02-01,2025-03-01,1,2.6228234058139024,2.3227,direct_ardl_emp,2024-12-01,2025-01-01 2025-02-01,2025-05-01,3,2.6735,1.5619,naive,2024-12-01, 2025-02-01,2025-05-01,3,2.5468551551291347,1.5619,direct_ardl_emp,2024-12-01,2025-01-01 2025-03-01,2025-04-01,1,2.9557,1.8738,naive,2025-01-01, 2025-03-01,2025-04-01,1,2.8405599501933416,1.8738,direct_ardl_emp,2025-01-01,2025-02-01 2025-03-01,2025-06-01,3,2.9557,1.2753,naive,2025-01-01, 2025-03-01,2025-06-01,3,2.7270485832368503,1.2753,direct_ardl_emp,2025-01-01,2025-02-01 2025-04-01,2025-05-01,1,2.1683,1.5619,naive,2025-02-01, 2025-04-01,2025-05-01,1,2.18660353315295,1.5619,direct_ardl_emp,2025-02-01,2025-03-01 2025-04-01,2025-07-01,3,2.1683,1.7373,naive,2025-02-01, 2025-04-01,2025-07-01,3,2.202867336508669,1.7373,direct_ardl_emp,2025-02-01,2025-03-01 2025-05-01,2025-06-01,1,2.3227,1.2753,naive,2025-03-01, 2025-05-01,2025-06-01,1,2.296683970406425,1.2753,direct_ardl_emp,2025-03-01,2025-04-01 2025-05-01,2025-08-01,3,2.3227,1.5573,naive,2025-03-01, 2025-05-01,2025-08-01,3,2.2943167881133486,1.5573,direct_ardl_emp,2025-03-01,2025-04-01 2025-06-01,2025-07-01,1,1.8738,1.7373,naive,2025-04-01, 2025-06-01,2025-07-01,1,1.92204054606785,1.7373,direct_ardl_emp,2025-04-01,2025-05-01 2025-06-01,2025-09-01,3,1.8738,1.5074,naive,2025-04-01, 2025-06-01,2025-09-01,3,1.9950110750173682,1.5074,direct_ardl_emp,2025-04-01,2025-05-01 2025-07-01,2025-08-01,1,1.5619,1.5573,naive,2025-05-01, 2025-07-01,2025-08-01,1,1.6839587575811328,1.5573,direct_ardl_emp,2025-05-01,2025-06-01 2025-07-01,2025-10-01,3,1.5619,0.806,naive,2025-05-01, 2025-07-01,2025-10-01,3,1.7973921133430746,0.806,direct_ardl_emp,2025-05-01,2025-06-01 2025-08-01,2025-09-01,1,1.2753,1.5074,naive,2025-06-01, 2025-08-01,2025-09-01,1,1.436943711286989,1.5074,direct_ardl_emp,2025-06-01,2025-07-01 2025-08-01,2025-11-01,3,1.2753,1.1039,naive,2025-06-01, 2025-08-01,2025-11-01,3,1.599497371586957,1.1039,direct_ardl_emp,2025-06-01,2025-07-01 2025-09-01,2025-10-01,1,1.7373,0.806,naive,2025-07-01, 2025-09-01,2025-10-01,1,1.7849596200885873,0.806,direct_ardl_emp,2025-07-01,2025-08-01 2025-09-01,2025-12-01,3,1.7373,1.0085,naive,2025-07-01, 2025-09-01,2025-12-01,3,1.8860624454493096,1.0085,direct_ardl_emp,2025-07-01,2025-08-01 2025-10-01,2025-11-01,1,1.5573,1.1039,naive,2025-08-01, 2025-10-01,2025-11-01,1,1.6429553287232472,1.1039,direct_ardl_emp,2025-08-01,2025-09-01 2025-10-01,2026-01-01,3,1.5573,0.4466,naive,2025-08-01, 2025-10-01,2026-01-01,3,1.7679189107114688,0.4466,direct_ardl_emp,2025-08-01,2025-09-01 2025-11-01,2025-12-01,1,1.5074,1.0085,naive,2025-09-01, 2025-11-01,2025-12-01,1,1.6203821558679325,1.0085,direct_ardl_emp,2025-09-01,2025-10-01 2025-11-01,2026-02-01,3,1.5074,0.7697,naive,2025-09-01, 2025-11-01,2026-02-01,3,1.7430718347609437,0.7697,direct_ardl_emp,2025-09-01,2025-10-01 2025-12-01,2026-01-01,1,0.806,0.4466,naive,2025-10-01, 2025-12-01,2026-01-01,1,1.0507263878728783,0.4466,direct_ardl_emp,2025-10-01,2025-11-01 2025-12-01,2026-03-01,3,0.806,0.4175,naive,2025-10-01, 2025-12-01,2026-03-01,3,1.2798970167897832,0.4175,direct_ardl_emp,2025-10-01,2025-11-01 2026-01-01,2026-02-01,1,1.1039,0.7697,naive,2025-11-01, 2026-01-01,2026-02-01,1,1.266638833422672,0.7697,direct_ardl_emp,2025-11-01,2025-12-01 2026-01-01,2026-04-01,3,1.1039,1.1488,naive,2025-11-01, 2026-01-01,2026-04-01,3,1.461261333139833,1.1488,direct_ardl_emp,2025-11-01,2025-12-01 2026-02-01,2026-03-01,1,1.0085,0.4175,naive,2025-12-01, 2026-02-01,2026-03-01,1,1.1642311002711154,0.4175,direct_ardl_emp,2025-12-01,2026-01-01 2026-02-01,2026-05-01,3,1.0085,1.6466,naive,2025-12-01, 2026-02-01,2026-05-01,3,1.3831007778442284,1.6466,direct_ardl_emp,2025-12-01,2026-01-01 2026-03-01,2026-04-01,1,0.4466,1.1488,naive,2026-01-01, 2026-03-01,2026-04-01,1,0.6803742802920398,1.1488,direct_ardl_emp,2026-01-01,2026-02-01 2026-03-01,2026-06-01,3,0.4466,2.0909,naive,2026-01-01, 2026-03-01,2026-06-01,3,0.9933570750009107,2.0909,direct_ardl_emp,2026-01-01,2026-02-01 2026-04-01,2026-05-01,1,0.7697,1.6466,naive,2026-02-01, 2026-04-01,2026-05-01,1,0.9507061206460977,1.6466,direct_ardl_emp,2026-02-01,2026-03-01 2026-04-01,2026-07-01,3,0.7697,1.4203,naive,2026-02-01, 2026-04-01,2026-07-01,3,1.2069864697925101,1.4203,direct_ardl_emp,2026-02-01,2026-03-01