Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.298636157942104 |
beta | 0 |
gamma | 0.619823384572421 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 37702 | 40443.7037927351 | -2741.70379273505 |
14 | 30364 | 31996.9844990975 | -1632.98449909746 |
15 | 32609 | 33561.8688755481 | -952.868875548083 |
16 | 30212 | 30629.3187021052 | -417.318702105218 |
17 | 29965 | 29937.6615081779 | 27.3384918221163 |
18 | 28352 | 28050.1283635797 | 301.871636420328 |
19 | 25814 | 21460.4140758454 | 4353.58592415464 |
20 | 22414 | 20567.6048427458 | 1846.39515725418 |
21 | 20506 | 21231.3911251245 | -725.391125124541 |
22 | 28806 | 27004.3573664188 | 1801.64263358119 |
23 | 22228 | 22474.1539270696 | -246.153927069619 |
24 | 13971 | 13911.1543906006 | 59.8456093993864 |
25 | 36845 | 36937.4508845106 | -92.4508845106393 |
26 | 35338 | 29763.8786484869 | 5574.12135151311 |
27 | 35022 | 33776.7264531858 | 1245.27354681423 |
28 | 34777 | 31733.4363747714 | 3043.56362522861 |
29 | 26887 | 32268.625918055 | -5381.62591805498 |
30 | 23970 | 28885.125941827 | -4915.12594182699 |
31 | 22780 | 22498.7957065518 | 281.204293448154 |
32 | 17351 | 19299.8958110955 | -1948.89581109546 |
33 | 21382 | 17712.2596489523 | 3669.74035104774 |
34 | 24561 | 25896.3275057667 | -1335.32750576675 |
35 | 17409 | 19539.0897330241 | -2130.08973302409 |
36 | 11514 | 10546.5034875310 | 967.496512468986 |
37 | 31514 | 33777.6507675658 | -2263.65076756578 |
38 | 27071 | 28419.0617148974 | -1348.06171489740 |
39 | 29462 | 28482.8512423471 | 979.148757652936 |
40 | 26105 | 27141.8424180499 | -1036.84241804993 |
41 | 22397 | 22795.8623690159 | -398.862369015857 |
42 | 23843 | 21103.1934225748 | 2739.80657742525 |
43 | 21705 | 19261.8603918426 | 2443.13960815737 |
44 | 18089 | 15739.1196206776 | 2349.88037932239 |
45 | 20764 | 17877.7965864218 | 2886.20341357817 |
46 | 25316 | 23652.060323237 | 1663.93967676299 |
47 | 17704 | 17845.0117837314 | -141.011783731421 |
48 | 15548 | 10793.0241256180 | 4754.97587438204 |
49 | 28029 | 33750.5998184451 | -5721.59981844506 |
50 | 29383 | 27757.368585863 | 1625.63141413698 |
51 | 36438 | 29720.8993213566 | 6717.10067864336 |
52 | 32034 | 29217.0552811456 | 2816.94471885435 |
53 | 22679 | 26299.2991943212 | -3620.29919432120 |
54 | 24319 | 25009.0402640972 | -690.040264097213 |
55 | 18004 | 22014.4633779833 | -4010.46337798333 |
56 | 17537 | 16523.9015946837 | 1013.09840531626 |
57 | 20366 | 18496.5183944837 | 1869.48160551635 |
58 | 22782 | 23435.8076546138 | -653.80765461384 |
59 | 19169 | 16151.9443708883 | 3017.05562911168 |
60 | 13807 | 12171.4619603060 | 1635.53803969404 |
61 | 29743 | 29643.0658189108 | 99.9341810891783 |
62 | 25591 | 28582.3560614190 | -2991.35606141904 |
63 | 29096 | 31380.4596230663 | -2284.45962306634 |
64 | 26482 | 26492.9417291983 | -10.9417291983009 |
65 | 22405 | 19932.2668142265 | 2472.7331857735 |
66 | 27044 | 21735.4548382757 | 5308.54516172428 |
67 | 17970 | 19088.8124414929 | -1118.81244149294 |
68 | 18730 | 16645.6535547178 | 2084.34644528216 |
69 | 19684 | 19310.4721229259 | 373.527877074121 |
70 | 19785 | 22706.0868861345 | -2921.08688613454 |
71 | 18479 | 16340.9360090753 | 2138.06399092471 |
72 | 10698 | 11497.3792233808 | -799.379223380776 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 27574.2684097229 | 22373.7296423673 | 32774.8071770786 |
74 | 25139.8637107744 | 19712.3756609647 | 30567.351760584 |
75 | 29138.5975823977 | 23493.2765471613 | 34783.9186176342 |
76 | 25921.6495207858 | 20066.5942135371 | 31776.7048280344 |
77 | 20443.9496088997 | 14386.4174619774 | 26501.4817558221 |
78 | 22741.4791272947 | 16488.0225814270 | 28994.9356731623 |
79 | 15715.4013085227 | 9271.97505914945 | 22158.8275578959 |
80 | 14998.8429806780 | 8370.88968488835 | 21626.7962764677 |
81 | 16297.4703604895 | 9489.9900666343 | 23104.9506543446 |
82 | 18149.2956286298 | 11166.9026998923 | 25131.6885573674 |
83 | 14855.809638713 | 7702.77992597304 | 22008.8393514530 |
84 | 8096.77929900556 | 777.089610815355 | 15416.4689871958 |