Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.770094354773406 |
beta | 0.00308092481798597 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 47 | 36.0576378610913 | 10.9423621389087 |
14 | 45 | 42.4781443000762 | 2.52185569992385 |
15 | 47 | 45.9194098481166 | 1.0805901518834 |
16 | 43 | 42.8119929470837 | 0.188007052916312 |
17 | 48 | 48.7905776544218 | -0.790577654421796 |
18 | 48 | 50.2640287424153 | -2.26402874241529 |
19 | 43 | 40.1426050322917 | 2.85739496770831 |
20 | 44 | 34.6404208225834 | 9.35957917741658 |
21 | 46 | 45.4087918973583 | 0.59120810264168 |
22 | 36 | 47.0515459369091 | -11.0515459369091 |
23 | 32 | 41.1804620027384 | -9.18046200273838 |
24 | 18 | 41.0580182564942 | -23.0580182564942 |
25 | 31 | 34.1925531755259 | -3.19255317552587 |
26 | 37 | 30.7023550042105 | 6.29764499578953 |
27 | 32 | 37.0085270935604 | -5.00852709356036 |
28 | 29 | 30.7125533282961 | -1.71255332829606 |
29 | 29 | 33.8115427512704 | -4.81154275127042 |
30 | 40 | 31.9274319447801 | 8.07256805521995 |
31 | 26 | 31.7731366027537 | -5.77313660275368 |
32 | 29 | 22.6636189347051 | 6.33638106529493 |
33 | 19 | 30.1976331330650 | -11.1976331330650 |
34 | 30 | 22.6355260425087 | 7.36447395749127 |
35 | 12 | 30.4856433037945 | -18.4856433037945 |
36 | 24 | 20.1554835909907 | 3.84451640900933 |
37 | 40 | 33.8684200887625 | 6.13157991123752 |
38 | 43 | 36.9395605726258 | 6.0604394273742 |
39 | 49 | 42.9887379156576 | 6.01126208434241 |
40 | 49 | 43.4702635130574 | 5.52973648694257 |
41 | 48 | 53.9199901029233 | -5.91999010292332 |
42 | 33 | 51.3365903810986 | -18.3365903810986 |
43 | 46 | 30.9820842262297 | 15.0179157737703 |
44 | 46 | 34.7274490397107 | 11.2725509602893 |
45 | 43 | 46.9839975693075 | -3.98399756930755 |
46 | 44 | 45.0172850121569 | -1.01728501215685 |
47 | 38 | 47.0249415113234 | -9.02494151132343 |
48 | 38 | 47.9268770335403 | -9.9268770335403 |
49 | 39 | 57.7376485077695 | -18.7376485077695 |
50 | 47 | 41.2123687529744 | 5.78763124702562 |
51 | 41 | 46.9819512891653 | -5.98195128916534 |
52 | 36 | 38.775022580714 | -2.77502258071402 |
53 | 38 | 41.6640069362547 | -3.66400693625471 |
54 | 11 | 40.6440713520483 | -29.6440713520483 |
55 | 24 | 15.3794756993723 | 8.62052430062773 |
56 | 30 | 18.3695845762136 | 11.6304154237864 |
57 | 18 | 29.8904874376668 | -11.8904874376668 |
58 | 21 | 21.7151636263480 | -0.715163626348044 |
59 | 22 | 22.9711162989545 | -0.97111629895446 |
60 | 15 | 27.0381213660788 | -12.0381213660788 |
61 | 15 | 26.283383542732 | -11.2833835427320 |
62 | 16 | 17.5381210367758 | -1.53812103677583 |
63 | 26 | 17.6806573942699 | 8.31934260573013 |
64 | 39 | 22.5320632272767 | 16.4679367727233 |
65 | 28 | 40.0448912488407 | -12.0448912488407 |
66 | 25 | 32.4286864783348 | -7.42868647833483 |
67 | 25 | 22.467995698673 | 2.53200430132701 |
68 | 13 | 20.2441149134746 | -7.24411491347459 |
69 | 20 | 16.4284004800255 | 3.57159951997445 |
70 | 13 | 20.1198125513801 | -7.11981255138008 |
71 | 10 | 16.1398077524889 | -6.1398077524889 |
72 | 19 | 14.3721503099422 | 4.62784969005781 |
73 | 31 | 26.4602189490352 | 4.53978105096484 |
74 | 36 | 28.8398970541384 | 7.16010294586158 |
75 | 26 | 35.5854394083182 | -9.5854394083182 |
76 | 33 | 26.1308400737941 | 6.8691599262059 |
77 | 42 | 35.8220573334454 | 6.17794266655459 |
78 | 44 | 42.2964939317744 | 1.70350606822559 |
79 | 45 | 35.9793799962435 | 9.02062000375651 |
80 | 42 | 34.9267796796334 | 7.07322032036662 |
81 | 60 | 43.6584529703194 | 16.3415470296806 |
82 | 42 | 57.2809909808047 | -15.2809909808047 |
83 | 63 | 48.2458270728917 | 14.7541729271083 |
84 | 71 | 70.6055311869901 | 0.394468813009908 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 100.262973391805 | 85.7994225502783 | 114.726524233332 |
86 | 93.362418864202 | 73.7236598143192 | 113.001177914085 |
87 | 94.3988816510647 | 70.0465346184716 | 118.751228683658 |
88 | 84.699962491882 | 58.7341826226396 | 110.665742361125 |
89 | 94.3691925568812 | 62.3566150954734 | 126.381770018289 |
90 | 96.6254975461178 | 61.1752602937451 | 132.075734798490 |
91 | 78.448800902719 | 46.5546361139309 | 110.342965691507 |
92 | 63.134081997768 | 33.9423124180872 | 92.3258515774488 |
93 | 67.7590229261784 | 33.5893163466899 | 101.928729505667 |
94 | 68.8006044423329 | 31.5851829369906 | 106.016025947675 |
95 | 72.4491317733298 | 31.0975794990895 | 113.80068404757 |
96 | 85.5541468744254 | 36.1588133095561 | 134.949480439295 |