Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.767499072123643 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 106.14 | 104.729009505869 | 1.4109904941314 |
14 | 105.85 | 105.557910785138 | 0.292089214861704 |
15 | 106.27 | 106.252812323334 | 0.0171876766659409 |
16 | 106.51 | 106.571534737355 | -0.0615347373552737 |
17 | 106.82 | 106.881606583944 | -0.0616065839443962 |
18 | 106.53 | 106.572228475694 | -0.042228475694202 |
19 | 107.14 | 107.700291421424 | -0.560291421423827 |
20 | 107.39 | 107.281297295574 | 0.108702704425653 |
21 | 107.33 | 107.796273524345 | -0.466273524344643 |
22 | 107.53 | 107.383051705929 | 0.146948294070739 |
23 | 107.42 | 107.073527885158 | 0.346472114841632 |
24 | 108.25 | 107.920146959735 | 0.329853040264737 |
25 | 108.26 | 108.517473018442 | -0.257473018442155 |
26 | 108.93 | 107.791008606953 | 1.13899139304671 |
27 | 109.43 | 109.077660669723 | 0.352339330277502 |
28 | 109.61 | 109.638007745763 | -0.0280077457633752 |
29 | 109.74 | 109.978547372105 | -0.238547372104819 |
30 | 110.12 | 109.525310406975 | 0.594689593024881 |
31 | 110.16 | 111.048603784697 | -0.888603784697182 |
32 | 110.44 | 110.532302353449 | -0.0923023534494263 |
33 | 111.23 | 110.761896593172 | 0.46810340682832 |
34 | 112.86 | 111.204546852718 | 1.65545314728243 |
35 | 112.77 | 112.072782664688 | 0.697217335311976 |
36 | 113.04 | 113.203015178815 | -0.163015178815272 |
37 | 112.79 | 113.285984509122 | -0.495984509122124 |
38 | 113.87 | 112.681846684882 | 1.18815331511846 |
39 | 114.28 | 113.824654148023 | 0.455345851976986 |
40 | 115.51 | 114.375959688621 | 1.13404031137911 |
41 | 116.76 | 115.565444993238 | 1.19455500676244 |
42 | 116.91 | 116.388646103972 | 0.521353896027605 |
43 | 116.47 | 117.541380800453 | -1.07138080045337 |
44 | 116.94 | 117.079219131881 | -0.139219131880651 |
45 | 117.24 | 117.416661119857 | -0.176661119857371 |
46 | 116.82 | 117.644853014419 | -0.824853014419332 |
47 | 117.48 | 116.355733598369 | 1.12426640163115 |
48 | 117.11 | 117.621596959337 | -0.511596959337268 |
49 | 117.31 | 117.356855110556 | -0.0468551105563506 |
50 | 117.77 | 117.48563186622 | 0.284368133780248 |
51 | 118.37 | 117.759578594079 | 0.610421405921429 |
52 | 117.91 | 118.591354838963 | -0.681354838962548 |
53 | 118.12 | 118.402433431397 | -0.282433431397251 |
54 | 118.02 | 117.929687197182 | 0.0903128028175786 |
55 | 117.77 | 118.381268134087 | -0.611268134086615 |
56 | 117.85 | 118.493672986103 | -0.643672986102828 |
57 | 118.68 | 118.437373225055 | 0.242626774945336 |
58 | 118.9 | 118.835825113196 | 0.064174886804409 |
59 | 118.6 | 118.673224093729 | -0.0732240937287543 |
60 | 118.21 | 118.637612646535 | -0.427612646534698 |
61 | 118.37 | 118.545805624606 | -0.175805624605957 |
62 | 117.43 | 118.652944135305 | -1.22294413530474 |
63 | 117.5 | 117.845305290473 | -0.345305290472666 |
64 | 116.71 | 117.643400347161 | -0.93340034716131 |
65 | 116.98 | 117.351726971213 | -0.371726971212738 |
66 | 117.74 | 116.900338210531 | 0.839661789468877 |
67 | 117.44 | 117.763260376089 | -0.323260376088825 |
68 | 117.85 | 118.087730192995 | -0.237730192994945 |
69 | 118.54 | 118.549178470324 | -0.00917847032364705 |
70 | 118.73 | 118.712901995868 | 0.0170980041318529 |
71 | 118.68 | 118.482857271111 | 0.197142728889332 |
72 | 118.19 | 118.572006881252 | -0.38200688125248 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 118.573759666385 | 117.351691877291 | 119.795827455479 |
74 | 118.569761005279 | 117.030202537052 | 120.109319473506 |
75 | 118.905967829401 | 117.102033852562 | 120.70990180624 |
76 | 118.827808459811 | 116.79757580992 | 120.858041109702 |
77 | 119.389446126815 | 117.148175090929 | 121.630717162701 |
78 | 119.502296567301 | 117.073918449167 | 121.930674685435 |
79 | 119.446561684426 | 116.847578694436 | 122.045544674417 |
80 | 120.045734477687 | 117.275150994104 | 122.81631796127 |
81 | 120.75212948639 | 117.816803944983 | 123.687455027797 |
82 | 120.928665473425 | 117.84753033321 | 124.009800613641 |
83 | 120.719969583533 | 117.508427148211 | 123.931512018854 |
84 | 120.516220549873 | 113.505355716805 | 127.527085382941 |