Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.29863615794017 |
beta | 0 |
gamma | 0.619823384568793 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 37702 | 40443.7037927351 | -2741.70379273505 |
14 | 30364 | 31996.9844991028 | -1632.98449910276 |
15 | 32609 | 33561.868875555 | -952.868875554952 |
16 | 30212 | 30629.3187021119 | -417.318702111876 |
17 | 29965 | 29937.6615081834 | 27.3384918166375 |
18 | 28352 | 28050.1283635835 | 301.871636416538 |
19 | 25814 | 21460.4140758474 | 4353.58592415257 |
20 | 22414 | 20567.6048427389 | 1846.39515726114 |
21 | 20506 | 21231.3911251161 | -725.391125116083 |
22 | 28806 | 27004.3573664143 | 1801.64263358572 |
23 | 22228 | 22474.1539270629 | -246.153927062947 |
24 | 13971 | 13911.1543905964 | 59.8456094035901 |
25 | 36845 | 36937.4508845113 | -92.450884511265 |
26 | 35338 | 29763.8786484837 | 5574.12135151628 |
27 | 35022 | 33776.7264531712 | 1245.27354682884 |
28 | 34777 | 31733.4363747581 | 3043.56362524189 |
29 | 26887 | 32268.6259180397 | -5381.62591803969 |
30 | 23970 | 28885.125941827 | -4915.12594182705 |
31 | 22780 | 22498.7957065567 | 281.204293443327 |
32 | 17351 | 19299.8958111056 | -1948.8958111056 |
33 | 21382 | 17712.2596489673 | 3669.74035103275 |
34 | 24561 | 25896.3275057651 | -1335.32750576507 |
35 | 17409 | 19539.0897330292 | -2130.08973302917 |
36 | 11514 | 10546.5034875372 | 967.496512462789 |
37 | 31514 | 33777.65076757 | -2263.65076757005 |
38 | 27071 | 28419.061714895 | -1348.06171489501 |
39 | 29462 | 28482.8512423572 | 979.148757642815 |
40 | 26105 | 27141.8424180515 | -1036.8424180515 |
41 | 22397 | 22795.8623690311 | -398.862369031092 |
42 | 23843 | 21103.1934225793 | 2739.80657742071 |
43 | 21705 | 19261.8603918267 | 2443.13960817328 |
44 | 18089 | 15739.1196206697 | 2349.88037933027 |
45 | 20764 | 17877.7965864062 | 2886.20341359381 |
46 | 25316 | 23652.0603232293 | 1663.93967677065 |
47 | 17704 | 17845.0117837246 | -141.011783724636 |
48 | 15548 | 10793.0241256073 | 4754.97587439267 |
49 | 28029 | 33750.5998184354 | -5721.5998184354 |
50 | 29383 | 27757.3685858592 | 1625.6314141408 |
51 | 36438 | 29720.8993213514 | 6717.10067864856 |
52 | 32034 | 29217.0552811318 | 2816.94471886819 |
53 | 22679 | 26299.2991943114 | -3620.29919431138 |
54 | 24319 | 25009.0402640908 | -690.040264090829 |
55 | 18004 | 22014.4633779757 | -4010.46337797569 |
56 | 17537 | 16523.9015946908 | 1013.09840530923 |
57 | 20366 | 18496.5183944837 | 1869.48160551629 |
58 | 22782 | 23435.8076546173 | -653.807654617329 |
59 | 19169 | 16151.9443708959 | 3017.05562910411 |
60 | 13807 | 12171.4619602944 | 1635.53803970563 |
61 | 29743 | 29643.0658189202 | 99.9341810798032 |
62 | 25591 | 28582.3560614049 | -2991.35606140488 |
63 | 29096 | 31380.4596230566 | -2284.45962305657 |
64 | 26482 | 26492.9417292077 | -10.9417292076687 |
65 | 22405 | 19932.2668142453 | 2472.73318575467 |
66 | 27044 | 21735.4548382722 | 5308.54516172778 |
67 | 17970 | 19088.8124414807 | -1118.81244148074 |
68 | 18730 | 16645.6535547029 | 2084.34644529707 |
69 | 19684 | 19310.4721229104 | 373.52787708964 |
70 | 19785 | 22706.0868861319 | -2921.0868861319 |
71 | 18479 | 16340.9360090762 | 2138.06399092377 |
72 | 10698 | 11497.3792233764 | -799.379223376427 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 27574.268409735 | 22373.7296423799 | 32774.8071770902 |
74 | 25139.8637107803 | 19712.3756609741 | 30567.3517605865 |
75 | 29138.5975823952 | 23493.2765471649 | 34783.9186176256 |
76 | 25921.6495207837 | 20066.5942135436 | 31776.7048280238 |
77 | 20443.9496089024 | 14386.417461991 | 26501.4817558139 |
78 | 22741.4791272913 | 16488.0225814368 | 28994.9356731459 |
79 | 15715.4013085323 | 9271.97505917424 | 22158.8275578904 |
80 | 14998.842980676 | 8370.88968490347 | 21626.7962764485 |
81 | 16297.470360489 | 9489.99006665283 | 23104.9506543251 |
82 | 18149.2956286372 | 11166.9026999205 | 25131.6885573538 |
83 | 14855.8096387091 | 7702.77992599167 | 22008.8393514265 |
84 | 8096.77929900702 | 777.089610841017 | 15416.468987173 |