Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0542570100641665 |
beta | 0.283078288759594 |
gamma | 0.116511788416041 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 2886 | 3172.61591880342 | -286.615918803420 |
14 | 3318 | 3601.67714478930 | -283.677144789304 |
15 | 4166 | 4469.99916116335 | -303.999161163349 |
16 | 6401 | 6687.63278151257 | -286.632781512572 |
17 | 9209 | 9455.88959542425 | -246.889595424251 |
18 | 9820 | 9986.17744970616 | -166.177449706160 |
19 | 7470 | 7000.87552063784 | 469.124479362156 |
20 | 8207 | 9429.87344895766 | -1222.87344895766 |
21 | 9564 | 9658.86987123 | -94.8698712299956 |
22 | 5309 | 5593.52795703516 | -284.527957035157 |
23 | 3385 | 2852.90070252401 | 532.099297475992 |
24 | 3706 | 2990.62870447873 | 715.371295521275 |
25 | 2733 | 2111.45560415150 | 621.544395848497 |
26 | 3045 | 2581.64411728009 | 463.355882719906 |
27 | 3449 | 3491.26169114149 | -42.2616911414862 |
28 | 5542 | 5732.0330961723 | -190.033096172294 |
29 | 10072 | 8518.41719004264 | 1553.58280995736 |
30 | 9418 | 9191.4471642279 | 226.552835772094 |
31 | 7516 | 6339.6497770139 | 1176.35022298610 |
32 | 7840 | 8673.6324442214 | -833.632444221395 |
33 | 10081 | 9107.07559970299 | 973.924400297012 |
34 | 4956 | 5154.27312701868 | -198.273127018681 |
35 | 3641 | 2585.08323808621 | 1055.91676191379 |
36 | 3970 | 2856.24520175458 | 1113.75479824542 |
37 | 2931 | 2079.28557135330 | 851.714428646704 |
38 | 3170 | 2639.00395224852 | 530.99604775148 |
39 | 3889 | 3592.08861308461 | 296.911386915395 |
40 | 4850 | 5935.7001656046 | -1085.70016560460 |
41 | 8037 | 8952.58149824644 | -915.581498246444 |
42 | 12370 | 9394.45650099604 | 2975.54349900396 |
43 | 6712 | 6887.73140463225 | -175.73140463225 |
44 | 7297 | 8997.36906805863 | -1700.36906805863 |
45 | 10613 | 9640.14386624884 | 972.856133751164 |
46 | 5184 | 5615.28545410394 | -431.285454103941 |
47 | 3506 | 3225.24033444513 | 280.759665554873 |
48 | 3810 | 3502.40003118403 | 307.599968815970 |
49 | 2692 | 2682.12710456777 | 9.8728954322337 |
50 | 3073 | 3177.20036459539 | -104.200364595387 |
51 | 3713 | 4076.64206853947 | -363.642068539467 |
52 | 4555 | 6228.53302238142 | -1673.53302238142 |
53 | 7807 | 9219.7065091506 | -1412.70650915059 |
54 | 10869 | 10043.1783269151 | 825.821673084949 |
55 | 9682 | 7019.36404181686 | 2662.63595818314 |
56 | 7704 | 9105.38524825445 | -1401.38524825445 |
57 | 9826 | 10053.9196966447 | -227.919696644676 |
58 | 5456 | 5785.7198752894 | -329.719875289396 |
59 | 3677 | 3457.73749286559 | 219.262507134413 |
60 | 3431 | 3711.66523589019 | -280.665235890187 |
61 | 2765 | 2794.78019547489 | -29.780195474892 |
62 | 3483 | 3242.63521532672 | 240.364784673284 |
63 | 3445 | 4104.97920284696 | -659.979202846962 |
64 | 6081 | 6064.69834159729 | 16.3016584027127 |
65 | 8767 | 9170.49558019488 | -403.495580194878 |
66 | 9407 | 10305.0863486525 | -898.086348652549 |
67 | 6551 | 7373.35774277617 | -822.35774277617 |
68 | 12480 | 8752.17314590923 | 3727.82685409077 |
69 | 9530 | 10116.7820668269 | -586.78206682692 |
70 | 5960 | 5820.85665060883 | 139.143349391169 |
71 | 3252 | 3588.96971608293 | -336.969716082926 |
72 | 3717 | 3759.25150851769 | -42.2515085176901 |
73 | 2642 | 2888.22963902416 | -246.229639024164 |
74 | 2989 | 3356.06612789128 | -367.066127891278 |
75 | 3607 | 4078.87215693946 | -471.872156939456 |
76 | 5366 | 6118.83459955378 | -752.834599553784 |
77 | 8898 | 9120.34775997593 | -222.347759975934 |
78 | 9435 | 10196.7547545344 | -761.754754534351 |
79 | 7328 | 7269.34830476199 | 58.6516952380098 |
80 | 8594 | 9199.46249746765 | -605.46249746765 |
81 | 11349 | 9789.08960082804 | 1559.91039917196 |
82 | 5797 | 5658.15533845046 | 138.844661549545 |
83 | 3621 | 3342.31278029526 | 278.687219704742 |
84 | 3851 | 3556.45278074215 | 294.547219257849 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 2664.38053932047 | 808.600767020698 | 4520.16031162025 |
86 | 3119.19587949953 | 1258.92462965816 | 4979.4671293409 |
87 | 3842.9411480306 | 1975.99798220793 | 5709.88431385328 |
88 | 5877.36605595903 | 4001.16074290731 | 7753.57136901075 |
89 | 8989.56240099362 | 7101.11257929053 | 10878.0122226967 |
90 | 10033.3931623159 | 8129.34729346647 | 11937.4390311652 |
91 | 7264.21499237123 | 5340.88064008898 | 9187.54934465349 |
92 | 9143.56419649957 | 7196.94131617072 | 11090.1870768284 |
93 | 10039.5402175283 | 8065.35878652854 | 12013.7216485281 |
94 | 5678.31916271198 | 3672.08016580951 | 7684.55815961445 |
95 | 3379.15688598658 | 1336.17542793243 | 5422.13834404073 |
96 | 3584.44771309496 | 1499.89689158534 | 5668.99853460458 |