Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.388308845367119 |
beta | 0 |
gamma | 0.904032606187551 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 105.88 | 105.503376068376 | 0.376623931623897 |
14 | 104.88 | 104.550738439769 | 0.329261560231444 |
15 | 106.59 | 106.251376250078 | 0.338623749921567 |
16 | 107.8 | 107.38773281479 | 0.412267185209672 |
17 | 106.31 | 105.853519110161 | 0.456480889838843 |
18 | 106.53 | 106.117723978126 | 0.412276021874078 |
19 | 106.25 | 104.678930371518 | 1.57106962848165 |
20 | 105.87 | 105.211356572311 | 0.658643427688631 |
21 | 107.83 | 106.721979608592 | 1.10802039140822 |
22 | 108.01 | 106.860016361455 | 1.14998363854467 |
23 | 107.9 | 108.039347814362 | -0.13934781436231 |
24 | 108.55 | 109.728020459495 | -1.1780204594955 |
25 | 108.83 | 110.114136125764 | -1.28413612576351 |
26 | 109.39 | 108.490419818348 | 0.89958018165197 |
27 | 108.65 | 110.417694579595 | -1.76769457959496 |
28 | 108.33 | 110.776873096927 | -2.44687309692698 |
29 | 109.76 | 108.156879611797 | 1.60312038820281 |
30 | 110.07 | 108.841889944802 | 1.22811005519847 |
31 | 109.23 | 108.36069173621 | 0.869308263789804 |
32 | 108.4 | 108.116056368695 | 0.283943631305405 |
33 | 108.9 | 109.729680564546 | -0.829680564546138 |
34 | 109.14 | 109.138496100062 | 0.00150389993812894 |
35 | 109.27 | 109.158876924934 | 0.111123075065549 |
36 | 109.38 | 110.370435345594 | -0.990435345593511 |
37 | 109.66 | 110.770711201341 | -1.11071120134136 |
38 | 109.87 | 110.42190787445 | -0.551907874449711 |
39 | 109.98 | 110.310584051894 | -0.330584051894235 |
40 | 111.24 | 110.852227220456 | 0.387772779543866 |
41 | 110.03 | 111.572552632247 | -1.54255263224725 |
42 | 111.43 | 110.828693811979 | 0.601306188021269 |
43 | 110.28 | 109.905688763788 | 0.374311236211881 |
44 | 109.53 | 109.14514161638 | 0.384858383619914 |
45 | 111.97 | 110.182130252592 | 1.78786974740777 |
46 | 111.89 | 111.066999384391 | 0.82300061560899 |
47 | 112.93 | 111.466992820886 | 1.46300717911365 |
48 | 113.11 | 112.594350384393 | 0.515649615606804 |
49 | 112.95 | 113.51294115748 | -0.56294115748014 |
50 | 114.08 | 113.685853736357 | 0.39414626364325 |
51 | 115.27 | 114.064280687512 | 1.20571931248757 |
52 | 114.73 | 115.599727286971 | -0.869727286971425 |
53 | 114.97 | 114.764306065826 | 0.205693934174207 |
54 | 113.78 | 115.884836657601 | -2.10483665760113 |
55 | 113.7 | 113.785486751265 | -0.0854867512650372 |
56 | 113.91 | 112.852228432085 | 1.0577715679147 |
57 | 114.22 | 114.926364708403 | -0.706364708402688 |
58 | 115.32 | 114.309138764734 | 1.01086123526632 |
59 | 113.5 | 115.135996570253 | -1.63599657025331 |
60 | 115.35 | 114.536105492436 | 0.813894507564427 |
61 | 113.23 | 114.974058833182 | -1.74405883318151 |
62 | 113.65 | 115.217591546572 | -1.56759154657178 |
63 | 114.82 | 115.283049118493 | -0.463049118492677 |
64 | 113.54 | 115.022799557295 | -1.48279955729451 |
65 | 113.97 | 114.544012786145 | -0.574012786144849 |
66 | 113.79 | 114.084078940838 | -0.294078940838475 |
67 | 113.27 | 113.80454005064 | -0.53454005063972 |
68 | 114.35 | 113.329119350641 | 1.02088064935913 |
69 | 113.68 | 114.413383044984 | -0.733383044984194 |
70 | 115.3 | 114.735272268066 | 0.564727731933843 |
71 | 113.69 | 113.925209902154 | -0.23520990215377 |
72 | 115.31 | 115.224018879616 | 0.0859811203835079 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 113.964797596315 | 111.976199617429 | 115.953395575201 |
74 | 114.98314820548 | 112.849887882977 | 117.116408527983 |
75 | 116.268114976052 | 113.999397874803 | 118.536832077301 |
76 | 115.62376096426 | 113.227231188222 | 118.020290740298 |
77 | 116.223307236532 | 113.705444521972 | 118.741169951092 |
78 | 116.141067900275 | 113.507456248701 | 118.774679551849 |
79 | 115.842750175819 | 113.098266979798 | 118.58723337184 |
80 | 116.435026252288 | 113.583979831204 | 119.286072673372 |
81 | 116.152784875188 | 113.199017217245 | 119.106552533132 |
82 | 117.477293875888 | 114.424259146468 | 120.530328605308 |
83 | 116.005586225126 | 112.856411930016 | 119.154760520236 |
84 | 117.573344309761 | 114.330879749751 | 120.81580886977 |