Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.283896982917142 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 12873 | 13328 | -455 |
3 | 14000 | 13198.8268727727 | 801.1731272273 |
4 | 13477 | 13426.2775063868 | 50.722493613177 |
5 | 14237 | 13440.6774692896 | 796.322530710362 |
6 | 13674 | 13666.7510331873 | 7.24896681274731 |
7 | 13529 | 13668.8089929947 | -139.808992994658 |
8 | 14058 | 13629.1176416988 | 428.882358301209 |
9 | 12975 | 13750.8760492469 | -775.876049246894 |
10 | 14326 | 13530.607179748 | 795.392820251971 |
11 | 14008 | 13756.4168016515 | 251.58319834848 |
12 | 16193 | 13827.8405126153 | 2365.1594873847 |
13 | 14483 | 14499.3021552017 | -16.3021552016689 |
14 | 14011 | 14494.6740225249 | -483.674022524869 |
15 | 15057 | 14357.3604268147 | 699.639573185339 |
16 | 14884 | 14555.9859907714 | 328.014009228584 |
17 | 15414 | 14649.108178346 | 764.891821654033 |
18 | 14440 | 14866.2586587715 | -426.258658771543 |
19 | 14900 | 14745.245111604 | 154.754888396006 |
20 | 15074 | 14789.1795575113 | 284.820442488701 |
21 | 14442 | 14870.039221807 | -428.039221806966 |
22 | 15307 | 14748.5201781658 | 558.479821834233 |
23 | 14938 | 14907.0709146046 | 30.9290853953917 |
24 | 17193 | 14915.8515886327 | 2277.14841136725 |
25 | 15528 | 15562.3271522745 | -34.3271522744726 |
26 | 14765 | 15552.5817773116 | -787.581777311612 |
27 | 15838 | 15328.9896869323 | 509.010313067674 |
28 | 15723 | 15473.4961790859 | 249.503820914051 |
29 | 16150 | 15544.3295610697 | 605.670438930252 |
30 | 15486 | 15716.2775713241 | -230.277571324148 |
31 | 15986 | 15650.9024635917 | 335.097536408264 |
32 | 15983 | 15746.035643161 | 236.964356838991 |
33 | 15692 | 15813.3091091265 | -121.3091091265 |
34 | 16490 | 15778.8698190451 | 711.13018095488 |
35 | 15686 | 15980.7575318795 | -294.757531879532 |
36 | 18897 | 15897.0767578868 | 2999.92324211317 |
37 | 16316 | 16748.7459153058 | -432.745915305768 |
38 | 15636 | 16625.8906555807 | -989.890655580744 |
39 | 17163 | 16344.8636850435 | 818.1363149565 |
40 | 16534 | 16577.1301164746 | -43.1301164746001 |
41 | 16518 | 16564.8856065346 | -46.8856065345972 |
42 | 16375 | 16551.5749242972 | -176.574924297183 |
43 | 16290 | 16501.4458360304 | -211.445836030391 |
44 | 16352 | 16441.417001131 | -89.4170011309689 |
45 | 15943 | 16416.0317842884 | -473.031784288389 |
46 | 16362 | 16281.739487905 | 80.2605120949975 |
47 | 16393 | 16304.5252051362 | 88.4747948638433 |
48 | 19051 | 16329.6429324622 | 2721.35706753779 |
49 | 16747 | 17102.2279933764 | -355.227993376433 |
50 | 16320 | 17001.3798378092 | -681.379837809152 |
51 | 17910 | 16807.9381576346 | 1102.06184236544 |
52 | 16961 | 17120.8101896702 | -159.810189670217 |
53 | 17480 | 17075.4405589834 | 404.559441016572 |
54 | 17049 | 17190.2937636987 | -141.293763698679 |
55 | 16879 | 17150.1808904796 | -271.180890479616 |
56 | 17473 | 17073.1934538477 | 399.806546152329 |
57 | 16998 | 17186.6973260508 | -188.697326050838 |
58 | 17307 | 17133.1267245005 | 173.873275499525 |
59 | 17418 | 17182.4888228247 | 235.511177175289 |
60 | 20169 | 17249.349735468 | 2919.65026453196 |
61 | 17871 | 18078.2296367419 | -207.2296367419 |
62 | 17226 | 18019.3977680999 | -793.397768099858 |
63 | 19062 | 17794.1545354831 | 1267.84546451689 |
64 | 17804 | 18154.0920376646 | -350.092037664639 |
65 | 19100 | 18054.7019644283 | 1045.29803557167 |
66 | 18522 | 18351.4589229763 | 170.541077023656 |
67 | 18060 | 18399.8750202068 | -339.8750202068 |
68 | 18869 | 18303.3855274012 | 565.614472598812 |
69 | 18127 | 18463.9617696663 | -336.961769666261 |
70 | 18871 | 18368.2993398996 | 502.70066010041 |
71 | 18890 | 18511.0145406126 | 378.985459387448 |
72 | 21263 | 18618.6073691021 | 2644.39263089788 |
73 | 19547 | 19369.3424586623 | 177.657541337652 |
74 | 18450 | 19419.7788986406 | -969.778898640583 |
75 | 20254 | 19144.4615952198 | 1109.53840478019 |
76 | 19240 | 19459.4562007676 | -219.456200767607 |
77 | 20216 | 19397.1532474872 | 818.846752512774 |
78 | 19420 | 19629.6213699971 | -209.621369997101 |
79 | 19415 | 19570.1104955 | -155.110495499965 |
80 | 20018 | 19526.0750938087 | 491.92490619126 |
81 | 18652 | 19665.7310904982 | -1013.73109049824 |
82 | 19978 | 19377.9358924165 | 600.064107583516 |
83 | 19509 | 19548.2922821163 | -39.292282116312 |
84 | 21971 | 19537.1373217716 | 2433.86267822844 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 20228.1035929553 | 18517.5988462131 | 21938.6083396974 |
86 | 20228.1035929553 | 18450.0032639518 | 22006.2039219587 |
87 | 20228.1035929553 | 18384.8849213439 | 22071.3222645666 |
88 | 20228.1035929553 | 18321.9899125176 | 22134.2172733929 |
89 | 20228.1035929553 | 18261.1049518458 | 22195.1022340647 |
90 | 20228.1035929553 | 18202.0488193864 | 22254.1583665241 |
91 | 20228.1035929553 | 18144.6659920476 | 22311.5411938629 |
92 | 20228.1035929553 | 18088.8218143551 | 22367.3853715554 |
93 | 20228.1035929553 | 18034.3987769818 | 22421.8084089288 |
94 | 20228.1035929553 | 17981.2936074424 | 22474.9135784681 |
95 | 20228.1035929553 | 17929.4149662868 | 22526.7922196237 |
96 | 20228.1035929553 | 17878.6816015392 | 22577.5255843713 |