Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 20.5 | 20.9280982905983 | -0.428098290598289 |
14 | 20.2 | 20.1594114219114 | 0.0405885780885811 |
15 | 19.4 | 19.3594114219114 | 0.0405885780885811 |
16 | 19.2 | 19.2135780885781 | -0.0135780885780861 |
17 | 18.8 | 18.8760780885781 | -0.0760780885780861 |
18 | 18.8 | 18.9260780885781 | -0.12607808857809 |
19 | 22.6 | 22.1844114219114 | 0.415588578088585 |
20 | 23.3 | 22.9469114219114 | 0.353088578088578 |
21 | 23 | 23.2760780885781 | -0.276078088578089 |
22 | 21.4 | 22.4177447552448 | -1.01774475524475 |
23 | 19.9 | 20.4219114219114 | -0.521911421911422 |
24 | 18.8 | 19.5010780885781 | -0.701078088578086 |
25 | 18.6 | 17.7802447552448 | 0.819755244755243 |
26 | 18.4 | 18.2594114219114 | 0.140588578088579 |
27 | 18.6 | 17.5594114219114 | 1.04058857808858 |
28 | 19.9 | 18.4135780885781 | 1.48642191142191 |
29 | 19.2 | 19.5760780885781 | -0.376078088578087 |
30 | 18.4 | 19.3260780885781 | -0.926078088578091 |
31 | 21.1 | 21.7844114219114 | -0.684411421911413 |
32 | 20.5 | 21.4469114219114 | -0.946911421911423 |
33 | 19.1 | 20.4760780885781 | -1.37607808857809 |
34 | 18.1 | 18.5177447552448 | -0.417744755244751 |
35 | 17 | 17.1219114219114 | -0.121911421911424 |
36 | 17.1 | 16.6010780885781 | 0.498921911421913 |
37 | 17.4 | 16.0802447552448 | 1.31975524475524 |
38 | 16.8 | 17.0594114219114 | -0.259411421911416 |
39 | 15.3 | 15.9594114219114 | -0.659411421911418 |
40 | 14.3 | 15.1135780885781 | -0.813578088578087 |
41 | 13.4 | 13.9760780885781 | -0.57607808857809 |
42 | 15.3 | 13.5260780885781 | 1.77392191142191 |
43 | 22.1 | 18.6844114219114 | 3.41558857808858 |
44 | 23.7 | 22.4469114219114 | 1.25308857808858 |
45 | 22.2 | 23.6760780885781 | -1.47607808857809 |
46 | 19.5 | 21.6177447552448 | -2.11774475524475 |
47 | 16.6 | 18.5219114219114 | -1.92191142191142 |
48 | 17.3 | 16.2010780885781 | 1.09892191142191 |
49 | 19.8 | 16.2802447552448 | 3.51975524475524 |
50 | 21.2 | 19.4594114219114 | 1.74058857808858 |
51 | 21.5 | 20.3594114219114 | 1.14058857808858 |
52 | 20.6 | 21.3135780885781 | -0.713578088578085 |
53 | 19.1 | 20.2760780885781 | -1.17607808857809 |
54 | 19.6 | 19.2260780885781 | 0.37392191142191 |
55 | 23.4 | 22.9844114219114 | 0.415588578088581 |
56 | 24.3 | 23.7469114219114 | 0.55308857808858 |
57 | 24.1 | 24.2760780885781 | -0.176078088578087 |
58 | 22.8 | 23.5177447552448 | -0.717744755244752 |
59 | 22.5 | 21.8219114219114 | 0.678088578088577 |
60 | 23.8 | 22.1010780885781 | 1.69892191142191 |
61 | 24.9 | 22.7802447552448 | 2.11975524475524 |
62 | 25.2 | 24.5594114219114 | 0.640588578088582 |
63 | 24.3 | 24.3594114219114 | -0.0594114219114168 |
64 | 22.8 | 24.1135780885781 | -1.31357808857809 |
65 | 20.7 | 22.4760780885781 | -1.77607808857809 |
66 | 19.8 | 20.8260780885781 | -1.02607808857809 |
67 | 22.5 | 23.1844114219114 | -0.684411421911417 |
68 | 22.6 | 22.8469114219114 | -0.24691142191142 |
69 | 22.5 | 22.5760780885781 | -0.0760780885780896 |
70 | 21.8 | 21.9177447552448 | -0.11774475524475 |
71 | 21.2 | 20.8219114219114 | 0.378088578088576 |
72 | 20.6 | 20.8010780885781 | -0.201078088578086 |
73 | 19.9 | 19.5802447552448 | 0.319755244755239 |
74 | 18.7 | 19.5594114219114 | -0.859411421911418 |
75 | 17.6 | 17.8594114219114 | -0.259411421911416 |
76 | 16.4 | 17.4135780885781 | -1.01357808857809 |
77 | 15.9 | 16.0760780885781 | -0.176078088578086 |
78 | 16.8 | 16.0260780885781 | 0.773921911421912 |
79 | 22.8 | 20.1844114219114 | 2.61558857808858 |
80 | 24 | 23.1469114219114 | 0.853088578088578 |
81 | 22.2 | 23.9760780885781 | -1.77607808857809 |
82 | 17.9 | 21.6177447552448 | -3.71774475524475 |
83 | 16 | 16.9219114219114 | -0.921911421911421 |
84 | 16 | 15.6010780885781 | 0.39892191142191 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 14.9802447552448 | 12.5961830847075 | 17.364306425782 |
86 | 14.6396561771562 | 11.2680838291485 | 18.0112285251638 |
87 | 13.7990675990676 | 9.66975165731955 | 17.9283835408157 |
88 | 13.6126456876457 | 8.84452234657119 | 18.3807690287202 |
89 | 13.2887237762238 | 7.95779981835078 | 18.6196477340968 |
90 | 13.4148018648019 | 7.57506725665834 | 19.2545364729454 |
91 | 16.7992132867133 | 10.4915789962305 | 23.1068475771961 |
92 | 17.1461247086247 | 10.4029800126094 | 23.88926940464 |
93 | 17.1222027972028 | 9.97001778559104 | 24.2743878088145 |
94 | 16.5399475524476 | 9.0008825912439 | 24.0790125136512 |
95 | 15.561858974359 | 7.65482093611902 | 23.4688970125989 |
96 | 15.1629370629371 | 6.90430517944096 | 23.4215689464332 |