Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.298636158737138 |
beta | 0 |
gamma | 0.619823386020581 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 37702 | 40443.703792735 | -2741.70379273504 |
14 | 30364 | 31996.9844969177 | -1632.9844969177 |
15 | 32609 | 33561.868872721 | -952.868872720996 |
16 | 30212 | 30629.3186993648 | -417.318699364834 |
17 | 29965 | 29937.6615059241 | 27.3384940759024 |
18 | 28352 | 28050.1283620207 | 301.871637979319 |
19 | 25814 | 21460.4140749919 | 4353.58592500806 |
20 | 22414 | 20567.6048456085 | 1846.39515439149 |
21 | 20506 | 21231.3911286003 | -725.391128600277 |
22 | 28806 | 27004.3573682799 | 1801.64263172015 |
23 | 22228 | 22474.1539298072 | -246.153929807246 |
24 | 13971 | 13911.154392325 | 59.8456076750117 |
25 | 36845 | 36937.450884334 | -92.4508843339863 |
26 | 35338 | 29763.8786498168 | 5574.12135018316 |
27 | 35022 | 33776.7264591872 | 1245.2735408128 |
28 | 34777 | 31733.436380213 | 3043.56361978704 |
29 | 26887 | 32268.6259243122 | -5381.62592431222 |
30 | 23970 | 28885.1259417785 | -4915.12594177854 |
31 | 22780 | 22498.7957044221 | 281.204295577896 |
32 | 17351 | 19299.8958068988 | -1948.8958068988 |
33 | 21382 | 17712.2596428481 | 3669.74035715187 |
34 | 24561 | 25896.3275064264 | -1335.32750642645 |
35 | 17409 | 19539.0897309733 | -2130.08973097327 |
36 | 11514 | 10546.5034849996 | 967.496515000363 |
37 | 31514 | 33777.6507658727 | -2263.65076587269 |
38 | 27071 | 28419.0617157457 | -1348.06171574573 |
39 | 29462 | 28482.851238213 | 979.148761787044 |
40 | 26105 | 27141.8424173549 | -1036.84241735494 |
41 | 22397 | 22795.8623629649 | -398.862362964901 |
42 | 23843 | 21103.1934208404 | 2739.8065791596 |
43 | 21705 | 19261.8603982384 | 2443.13960176164 |
44 | 18089 | 15739.1196239116 | 2349.88037608838 |
45 | 20764 | 17877.7965927142 | 2886.20340728579 |
46 | 25316 | 23652.0603264107 | 1663.93967358932 |
47 | 17704 | 17845.0117865911 | -141.011786591058 |
48 | 15548 | 10793.0241299406 | 4754.97587005936 |
49 | 28029 | 33750.5998225163 | -5721.59982251633 |
50 | 29383 | 27757.368587379 | 1625.63141262098 |
51 | 36438 | 29720.8993234379 | 6717.10067656211 |
52 | 32034 | 29217.0552868225 | 2816.94471317748 |
53 | 22679 | 26299.2991984651 | -3620.29919846509 |
54 | 24319 | 25009.0402667167 | -690.040266716715 |
55 | 18004 | 22014.4633810164 | -4010.46338101641 |
56 | 17537 | 16523.9015917542 | 1013.09840824583 |
57 | 20366 | 18496.5183943413 | 1869.48160565875 |
58 | 22782 | 23435.8076531827 | -653.807653182696 |
59 | 19169 | 16151.9443678683 | 3017.05563213168 |
60 | 13807 | 12171.4619649398 | 1635.53803506023 |
61 | 29743 | 29643.0658153513 | 99.9341846487259 |
62 | 25591 | 28582.3560671641 | -2991.35606716412 |
63 | 29096 | 31380.4596268597 | -2284.45962685969 |
64 | 26482 | 26492.9417253169 | -10.9417253169195 |
65 | 22405 | 19932.2668067187 | 2472.73319328135 |
66 | 27044 | 21735.4548397622 | 5308.54516023778 |
67 | 17970 | 19088.8124465844 | -1118.81244658439 |
68 | 18730 | 16645.6535607498 | 2084.34643925016 |
69 | 19684 | 19310.4721291566 | 373.527870843358 |
70 | 19785 | 22706.0868872248 | -2921.08688722477 |
71 | 18479 | 16340.9360086314 | 2138.06399136864 |
72 | 10698 | 11497.3792250728 | -799.379225072837 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 27574.2684049232 | 22373.7296373564 | 32774.8071724899 |
74 | 25139.8637084754 | 19712.3756572623 | 30567.3517596884 |
75 | 29138.5975834591 | 23493.2765457185 | 34783.9186211996 |
76 | 25921.6495216466 | 20066.5942108702 | 31776.7048324231 |
77 | 20443.9496078589 | 14386.4174564504 | 26501.4817592674 |
78 | 22741.479128613 | 16488.0225773573 | 28994.9356798688 |
79 | 15715.4013047414 | 9271.97504912714 | 22158.8275603556 |
80 | 14998.8429815133 | 8370.8896786728 | 21626.7962843539 |
81 | 16297.4703606868 | 9489.99005900904 | 23104.9506623645 |
82 | 18149.2956257623 | 11166.9026884645 | 25131.6885630601 |
83 | 14855.8096402716 | 7702.77991826422 | 22008.8393622791 |
84 | 8096.77929840321 | 777.089600265922 | 15416.4689965405 |