Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0788162596370837 |
beta | 1 |
gamma | 0.94734822479976 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 113.9 | 114.216458260221 | -0.31645826022131 |
14 | 80.9 | 81.0333726382371 | -0.133372638237091 |
15 | 95.7 | 95.5857433543653 | 0.114256645634683 |
16 | 113.2 | 112.488229329621 | 0.711770670379039 |
17 | 105.9 | 105.088519395747 | 0.811480604253163 |
18 | 108.8 | 107.851681533232 | 0.948318466767887 |
19 | 102.3 | 102.547234564864 | -0.247234564863732 |
20 | 99 | 95.8819163305467 | 3.11808366945326 |
21 | 100.7 | 98.268963541234 | 2.43103645876596 |
22 | 115.5 | 108.357138444377 | 7.14286155562264 |
23 | 100.7 | 108.491888077685 | -7.79188807768526 |
24 | 109.9 | 103.592900411640 | 6.30709958835989 |
25 | 114.6 | 121.631916200956 | -7.03191620095613 |
26 | 85.4 | 86.4651102279986 | -1.06511022799863 |
27 | 100.5 | 102.617812933350 | -2.11781293335015 |
28 | 114.8 | 121.426526702188 | -6.62652670218807 |
29 | 116.5 | 112.797017368105 | 3.70298263189542 |
30 | 112.9 | 116.088093552074 | -3.18809355207401 |
31 | 102 | 108.675136681084 | -6.67513668108393 |
32 | 106 | 103.429215530242 | 2.57078446975783 |
33 | 105.3 | 104.383251970788 | 0.916748029212187 |
34 | 118.8 | 117.854580033300 | 0.945419966700314 |
35 | 106.1 | 102.674450667905 | 3.42554933209513 |
36 | 109.3 | 110.477944750928 | -1.17794475092815 |
37 | 117.2 | 115.030535698658 | 2.16946430134215 |
38 | 92.5 | 85.310509238028 | 7.189490761972 |
39 | 104.2 | 101.538784648488 | 2.66121535151179 |
40 | 112.5 | 117.670919879155 | -5.17091987915531 |
41 | 122.4 | 119.016894250714 | 3.38310574928613 |
42 | 113.3 | 116.960839569567 | -3.66083956956676 |
43 | 100 | 106.782729872856 | -6.78272987285611 |
44 | 110.7 | 110.398884412679 | 0.301115587321064 |
45 | 112.8 | 110.186666403271 | 2.61333359672884 |
46 | 109.8 | 125.169538689621 | -15.3695386896213 |
47 | 117.3 | 109.757738218203 | 7.54226178179738 |
48 | 109.1 | 113.783215130895 | -4.68321513089481 |
49 | 115.9 | 120.719702352607 | -4.81970235260694 |
50 | 96 | 93.2238438070573 | 2.77615619294272 |
51 | 99.8 | 103.912189953244 | -4.11218995324450 |
52 | 116.8 | 110.549914094039 | 6.25008590596083 |
53 | 115.7 | 118.849790024212 | -3.14979002421187 |
54 | 99.4 | 108.746156607763 | -9.34615660776292 |
55 | 94.3 | 94.1375873532608 | 0.162412646739227 |
56 | 91 | 102.367887695294 | -11.3678876952937 |
57 | 93.2 | 100.673154186207 | -7.47315418620667 |
58 | 103.1 | 95.9945577058963 | 7.10544229410374 |
59 | 94.1 | 99.8373772191616 | -5.73737721916159 |
60 | 91.8 | 90.6378045078787 | 1.16219549212130 |
61 | 102.7 | 94.3281840404521 | 8.37181595954787 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 77.0644161292422 | 67.200218948968 | 86.9286133095164 |
63 | 79.2165064326418 | 69.2036678726426 | 89.229344992641 |
64 | 90.4945761279843 | 80.0041618165221 | 100.984990439446 |
65 | 88.3839921826897 | 77.231179624931 | 99.5368047404484 |
66 | 75.2831645236197 | 63.692436824392 | 86.8738922228474 |
67 | 70.2136302735289 | 57.8552027021933 | 82.5720578448646 |
68 | 67.893315505069 | 54.446720674274 | 81.3399103358642 |
69 | 69.4928097723872 | 54.2776129127706 | 84.7080066320037 |
70 | 76.0030850630007 | 57.7299249306356 | 94.2762451953657 |
71 | 69.8173528069797 | 50.2747638673039 | 89.3599417466554 |
72 | 67.810518752083 | 46.1236374083056 | 89.4974000958605 |
73 | 75.0155738583945 | 49.4887353110272 | 100.542412405762 |