Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.470508804820107 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 123.1 | 119.059722222222 | 4.04027777777776 |
14 | 115.5 | 112.980026672404 | 2.51997332759613 |
15 | 106.3 | 105.222514492768 | 1.07748550723214 |
16 | 119.9 | 119.561299092805 | 0.338700907195161 |
17 | 119.5 | 119.860812366992 | -0.360812366992235 |
18 | 120.9 | 121.335365153253 | -0.43536515325259 |
19 | 127.5 | 115.308173530487 | 12.1918264695131 |
20 | 116.6 | 124.847186746383 | -8.24718674638318 |
21 | 126.7 | 131.811130949032 | -5.11113094903239 |
22 | 110.6 | 112.083950350076 | -1.4839503500756 |
23 | 100.4 | 109.392556826267 | -8.99255682626732 |
24 | 125.2 | 114.326631176815 | 10.8733688231851 |
25 | 125 | 132.197089970746 | -7.19708997074576 |
26 | 105.2 | 120.025126131882 | -14.8251261318816 |
27 | 102.7 | 103.342807336044 | -0.642807336043873 |
28 | 94.2 | 116.480999065596 | -22.2809990655964 |
29 | 97 | 105.767358220603 | -8.76735822060255 |
30 | 111.1 | 103.247082120714 | 7.85291787928568 |
31 | 102 | 107.805587425703 | -5.80558742570271 |
32 | 97.3 | 98.0543814039257 | -0.754381403925663 |
33 | 109.8 | 110.204270425294 | -0.404270425294385 |
34 | 98.9 | 94.6122693362915 | 4.28773066370854 |
35 | 93.2 | 90.6607615308674 | 2.53923846913257 |
36 | 115.2 | 111.539479818767 | 3.6605201812328 |
37 | 115 | 116.448080994577 | -1.4480809945773 |
38 | 107 | 102.942098514155 | 4.05790148584504 |
39 | 104.1 | 102.653823403749 | 1.44617659625075 |
40 | 106 | 105.317668466162 | 0.682331533838322 |
41 | 110.8 | 112.563830698444 | -1.76383069844447 |
42 | 127.8 | 122.139065818881 | 5.66093418111882 |
43 | 116.9 | 118.434165195551 | -1.5341651955507 |
44 | 113.8 | 113.367270055735 | 0.432729944264892 |
45 | 131.6 | 126.26108609925 | 5.33891390074957 |
46 | 106.1 | 115.855677067758 | -9.75567706775755 |
47 | 107.2 | 104.370811053131 | 2.8291889468688 |
48 | 127.4 | 125.979662387641 | 1.42033761235903 |
49 | 123 | 127.129278598114 | -4.12927859811434 |
50 | 121.8 | 115.277138281964 | 6.52286171803637 |
51 | 117.6 | 114.765763331063 | 2.834236668937 |
52 | 118.4 | 117.678253644265 | 0.721746355735476 |
53 | 121.8 | 123.647739533315 | -1.84773953331501 |
54 | 141.9 | 137.114842438153 | 4.7851575618474 |
55 | 122.1 | 129.188139436008 | -7.0881394360085 |
56 | 132.2 | 122.549504172688 | 9.65049582731207 |
57 | 131.6 | 142.378141431839 | -10.7781414318388 |
58 | 108.8 | 116.397062945924 | -7.59706294592378 |
59 | 120.4 | 112.591419629093 | 7.80858037090742 |
60 | 134.7 | 135.797144094318 | -1.09714409431791 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 132.823790075753 | 119.731523874954 | 145.916056276552 |
62 | 128.554726204793 | 114.085677824516 | 143.023774585069 |
63 | 123.021192897114 | 107.295440521187 | 138.746945273041 |
64 | 123.481604881894 | 106.592400799191 | 140.370808964597 |
65 | 127.750982601332 | 109.773464938835 | 145.72850026383 |
66 | 145.599523836032 | 126.595917124052 | 164.603130548012 |
67 | 129.134555850466 | 109.157494134043 | 149.11161756689 |
68 | 134.693912592836 | 113.788675890517 | 155.599149295156 |
69 | 139.165123036113 | 117.371205344743 | 160.959040727483 |
70 | 119.939608042943 | 97.2918537371307 | 142.587362348755 |
71 | 127.865602225285 | 104.395052554376 | 151.336151896195 |
72 | 142.681818181818 | 118.416356541601 | 166.947279822035 |