Univariate ARIMA Extrapolation Forecast | ||||||||
time | Y[t] | F[t] | 95% LB | 95% UB | p-value (H0: Y[t] = F[t]) | P(F[t]>Y[t-1]) | P(F[t]>Y[t-s]) | P(F[t]>Y[35]) |
34 | 304296 | - | - | - | - | - | - | - |
35 | 322310 | - | - | - | - | - | - | - |
36 | 415555 | 334738.5428 | 278652.7006 | 390824.385 | 0.0024 | 0.668 | 0.668 | 0.668 |
37 | 490042 | 344827.498 | 246220.5683 | 443434.4277 | 0.0019 | 0.0799 | 0.0799 | 0.6728 |
38 | 545109 | 353936.467 | 218345.6624 | 489527.2716 | 0.0029 | 0.0246 | 0.0246 | 0.6762 |
39 | 545720 | 362634.9481 | 194437.7759 | 530832.1202 | 0.0164 | 0.0167 | 0.0167 | 0.6808 |
40 | 505944 | 371161.4874 | 173596.049 | 568726.9259 | 0.0906 | 0.0417 | 0.0417 | 0.686 |
41 | 477930 | 379616.0054 | 155056.9551 | 604175.0557 | 0.1954 | 0.1351 | 0.1351 | 0.6915 |
42 | 466106 | 388040.3556 | 138252.7383 | 637827.973 | 0.2701 | 0.2403 | 0.2403 | 0.697 |
43 | 424476 | 396452.0695 | 122776.1503 | 670127.9887 | 0.4205 | 0.3089 | 0.3089 | 0.7023 |
44 | 383018 | 404858.4904 | 108335.8075 | 701381.1732 | 0.4426 | 0.4484 | 0.4484 | 0.7073 |
45 | 364696 | 413262.6941 | 94720.7578 | 731804.6305 | 0.3825 | 0.5738 | 0.5738 | 0.7121 |
46 | 391116 | 421665.9692 | 81775.5139 | 761556.4245 | 0.4301 | 0.6287 | 0.6287 | 0.7167 |
47 | 435721 | 430068.8553 | 69383.1501 | 790754.5605 | 0.4877 | 0.5838 | 0.5838 | 0.7209 |
48 | 511435 | 438471.5784 | 57453.964 | 819489.1928 | 0.3537 | 0.5056 | 0.5056 | 0.7249 |
49 | 553997 | 446874.2333 | 45917.8318 | 847830.6348 | 0.3003 | 0.3762 | 0.3762 | 0.7287 |
50 | 555252 | 455276.8596 | 34718.987 | 875834.7322 | 0.3206 | 0.3227 | 0.3227 | 0.7323 |
51 | 544897 | 463679.4739 | 23812.395 | 903546.5529 | 0.3587 | 0.3416 | 0.3416 | 0.7356 |
52 | 540562 | 472082.0832 | 13161.1886 | 931002.9779 | 0.385 | 0.3779 | 0.3779 | 0.7388 |
53 | 505282 | 480484.6905 | 2734.8208 | 958234.5601 | 0.4595 | 0.4027 | 0.4027 | 0.7418 |
54 | 507626 | 488887.2968 | -7492.291 | 985266.8846 | 0.4705 | 0.4742 | 0.4742 | 0.7446 |
55 | 474427 | 497289.9028 | -17541.7766 | 1012121.5821 | 0.4653 | 0.4843 | 0.4843 | 0.7473 |
56 | 469740 | 505692.5086 | -27432.079 | 1038817.0962 | 0.4474 | 0.5458 | 0.5458 | 0.7499 |
57 | 491480 | 514095.1143 | -37179.0448 | 1065369.2734 | 0.468 | 0.5627 | 0.5627 | 0.7523 |
58 | 538974 | 522497.72 | -46796.383 | 1091791.823 | 0.4774 | 0.5425 | 0.5425 | 0.7547 |
59 | 576612 | 530900.3257 | -56296.0277 | 1118096.6792 | 0.4394 | 0.4893 | 0.4893 | 0.7569 |
Univariate ARIMA Extrapolation Forecast Performance | ||||||
time | % S.E. | PE | MAPE | Sq.E | MSE | RMSE |
36 | 0.0855 | 0.2414 | 0 | 6531299753.6303 | 0 | 0 |
37 | 0.1459 | 0.4211 | 0.3313 | 21087251602.302 | 13809275677.9662 | 117512.8745 |
38 | 0.1955 | 0.5401 | 0.4009 | 36546937362.9658 | 21388496239.6327 | 146248.0641 |
39 | 0.2366 | 0.5049 | 0.4269 | 33520136244.3275 | 24421406240.8064 | 156273.4982 |
40 | 0.2716 | 0.3631 | 0.4141 | 18166325692.6411 | 23170390131.1734 | 152218.2319 |
41 | 0.3018 | 0.259 | 0.3883 | 9665641535.1529 | 20919598698.5033 | 144636.0906 |
42 | 0.3284 | 0.2012 | 0.3616 | 6094244828.1875 | 18801691002.7439 | 137119.2583 |
43 | 0.3522 | 0.0707 | 0.3252 | 785340679.8858 | 16549647212.3866 | 128645.4321 |
44 | 0.3737 | -0.0539 | 0.2951 | 477007019.2278 | 14763798302.0356 | 121506.3714 |
45 | 0.3933 | -0.1175 | 0.2773 | 2358723777.2755 | 13523290849.5596 | 116289.6851 |
46 | 0.4113 | -0.0725 | 0.2587 | 933300617.6311 | 12378746283.0207 | 111259.8143 |
47 | 0.4279 | 0.0131 | 0.2382 | 31946740.0182 | 11349846321.1038 | 106535.6575 |
48 | 0.4434 | 0.1664 | 0.2327 | 5323660889.5146 | 10886293595.5969 | 104337.4027 |
49 | 0.4578 | 0.2397 | 0.2332 | 11475287144.3927 | 10928364563.3681 | 104538.8185 |
50 | 0.4713 | 0.2196 | 0.2323 | 9995028696.475 | 10866142172.2419 | 104240.7894 |
51 | 0.484 | 0.1752 | 0.2287 | 6596286540.0417 | 10599276195.2293 | 102952.7862 |
52 | 0.496 | 0.1451 | 0.2238 | 4689498998.4385 | 10251642242.4769 | 101250.3938 |
53 | 0.5073 | 0.0516 | 0.2142 | 614906560.503 | 9716268037.9228 | 98571.1319 |
54 | 0.518 | 0.0383 | 0.205 | 351138998.0199 | 9223366509.5069 | 96038.3596 |
55 | 0.5282 | -0.046 | 0.197 | 522712322.2259 | 8788333800.1428 | 93746.1135 |
56 | 0.5379 | -0.0711 | 0.191 | 1292582871.7124 | 8431393279.7414 | 91822.6186 |
57 | 0.5471 | -0.044 | 0.1843 | 511443394.9177 | 8071395557.704 | 89840.9459 |
58 | 0.5559 | 0.0315 | 0.1777 | 271467802.0241 | 7732268263.9787 | 87933.3171 |
59 | 0.5643 | 0.0861 | 0.1739 | 2089557165.1721 | 7497155301.5285 | 86586.1149 |