Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0856933077971209 |
beta | 0.13396647530554 |
gamma | 0.210070820414823 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 8668 | 8907.30328460187 | -239.303284601869 |
14 | 13082 | 13449.1526080878 | -367.152608087752 |
15 | 38157 | 38868.975328155 | -711.975328154971 |
16 | 58263 | 58778.8482637075 | -515.848263707492 |
17 | 81153 | 81364.8054271865 | -211.805427186482 |
18 | 88476 | 88927.2764167426 | -451.276416742636 |
19 | 72329 | 79216.9136883901 | -6887.91368839011 |
20 | 75845 | 69501.3926970669 | 6343.60730293307 |
21 | 61108 | 58701.0105481082 | 2406.98945189181 |
22 | 37665 | 32835.7017859858 | 4829.2982140142 |
23 | 12755 | 15177.1948283943 | -2422.19482839429 |
24 | 2793 | 7540.35851209685 | -4747.35851209685 |
25 | 12935 | 7900.45159257524 | 5034.54840742476 |
26 | 19533 | 12595.6782493185 | 6937.3217506815 |
27 | 33404 | 38489.7169640263 | -5085.71696402632 |
28 | 52074 | 57990.3263769827 | -5916.3263769827 |
29 | 70735 | 79982.7780515793 | -9247.77805157925 |
30 | 69702 | 86694.3243054436 | -16992.3243054436 |
31 | 61656 | 74732.2227784424 | -13076.2227784424 |
32 | 82993 | 67236.8556359628 | 15756.1443640372 |
33 | 53990 | 56954.0077741194 | -2964.00777411941 |
34 | 32283 | 32206.5078819138 | 76.492118086222 |
35 | 15686 | 13825.1062600655 | 1860.89373993452 |
36 | 2713 | 6346.59467777225 | -3633.59467777225 |
37 | 12842 | 8567.8290063843 | 4274.1709936157 |
38 | 19244 | 13325.4124000890 | 5918.58759991103 |
39 | 48488 | 35681.9224637765 | 12806.0775362235 |
40 | 54464 | 56636.8096885636 | -2172.80968856355 |
41 | 84192 | 78736.6457031022 | 5455.35429689776 |
42 | 84458 | 85922.5951108467 | -1464.59511084665 |
43 | 85793 | 76259.335696663 | 9533.66430333698 |
44 | 75163 | 77088.2215200482 | -1925.22152004817 |
45 | 68212 | 61158.9032714277 | 7053.09672857233 |
46 | 49233 | 35869.733532177 | 13363.266467823 |
47 | 24302 | 16538.5274953854 | 7763.47250461458 |
48 | 5402 | 6858.31393575847 | -1456.31393575847 |
49 | 15058 | 12079.4910712852 | 2978.50892871475 |
50 | 33559 | 18596.0439127345 | 14962.9560872655 |
51 | 70358 | 51670.2178853296 | 18687.7821146704 |
52 | 85934 | 77918.561917388 | 8015.43808261192 |
53 | 94452 | 114340.475549731 | -19888.4755497311 |
54 | 129305 | 122437.032486453 | 6867.96751354726 |
55 | 113882 | 114427.829459748 | -545.829459747649 |
56 | 107256 | 113081.087749923 | -5825.08774992335 |
57 | 94274 | 93400.0780841639 | 873.921915836094 |
58 | 57842 | 57631.0282321771 | 210.971767822877 |
59 | 26611 | 26443.2844991541 | 167.715500845927 |
60 | 14521 | 9351.59589872191 | 5169.40410127809 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 19418.4456467765 | 15206.5935006198 | 23630.2977929332 |
62 | 32321.9652694546 | 27477.870791467 | 37166.0597474423 |
63 | 78460.3759483864 | 70086.1179513928 | 86834.63394538 |
64 | 109412.722972205 | 97529.4342770695 | 121296.011667341 |
65 | 150387.317610425 | 133341.551005209 | 167433.084215641 |
66 | 170851.430593421 | 150344.425896335 | 191358.435290508 |
67 | 156846.912860079 | 136833.576216431 | 176860.249503727 |
68 | 153451.626386335 | 132794.137037318 | 174109.115735352 |
69 | 128706.729261203 | 110376.448001256 | 147037.010521149 |
70 | 79195.3544194086 | 66939.7997571879 | 91450.9090816293 |
71 | 36312.660114131 | 29354.6295683158 | 43270.6906599462 |
72 | 14105.8458897634 | 11799.8880690433 | 16411.8037104834 |