Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 70.2 | 64.0355502136752 | 6.16444978632481 |
14 | 72.6 | 72.594798951049 | 0.00520104895103657 |
15 | 72.1 | 71.6947989510489 | 0.405201048951056 |
16 | 69.7 | 69.0447989510489 | 0.655201048951056 |
17 | 71.5 | 71.007298951049 | 0.492701048951048 |
18 | 75.7 | 75.0656322843823 | 0.634367715617728 |
19 | 76 | 77.3781322843823 | -1.37813228438229 |
20 | 76.4 | 74.4947989510489 | 1.90520104895107 |
21 | 83.8 | 76.8114656177156 | 6.98853438228437 |
22 | 86.2 | 87.9114656177156 | -1.7114656177156 |
23 | 88.5 | 91.6031322843823 | -3.1031322843823 |
24 | 95.9 | 90.1364656177156 | 5.76353438228438 |
25 | 103.1 | 96.7447989510489 | 6.35520104895106 |
26 | 113.5 | 105.494798951049 | 8.00520104895105 |
27 | 115.7 | 112.594798951049 | 3.10520104895106 |
28 | 113.1 | 112.644798951049 | 0.455201048951039 |
29 | 112.7 | 114.407298951049 | -1.70729895104894 |
30 | 121.9 | 116.265632284382 | 5.63436771561773 |
31 | 120.3 | 123.578132284382 | -3.27813228438229 |
32 | 108.7 | 118.794798951049 | -10.0947989510489 |
33 | 102.8 | 109.111465617716 | -6.31146561771563 |
34 | 83.4 | 106.911465617716 | -23.5114656177156 |
35 | 79.4 | 88.8031322843823 | -9.40313228438229 |
36 | 77.8 | 81.0364656177156 | -3.23646561771564 |
37 | 85.7 | 78.6447989510489 | 7.05520104895108 |
38 | 83.2 | 88.094798951049 | -4.89479895104895 |
39 | 82 | 82.2947989510489 | -0.294798951048946 |
40 | 86.9 | 78.944798951049 | 7.95520104895105 |
41 | 95.7 | 88.207298951049 | 7.49270104895105 |
42 | 97.9 | 99.2656322843823 | -1.36563228438227 |
43 | 89.3 | 99.5781322843823 | -10.2781322843823 |
44 | 91.5 | 87.7947989510489 | 3.70520104895107 |
45 | 86.8 | 91.9114656177156 | -5.11146561771562 |
46 | 91 | 90.9114656177156 | 0.0885343822843936 |
47 | 93.8 | 96.4031322843823 | -2.6031322843823 |
48 | 96.8 | 95.4364656177156 | 1.36353438228437 |
49 | 95.7 | 97.6447989510489 | -1.94479895104892 |
50 | 91.4 | 98.094798951049 | -6.69479895104895 |
51 | 88.7 | 90.4947989510489 | -1.79479895104895 |
52 | 88.2 | 85.644798951049 | 2.55520104895105 |
53 | 87.7 | 89.507298951049 | -1.80729895104895 |
54 | 89.5 | 91.2656322843823 | -1.76563228438228 |
55 | 95.6 | 91.1781322843823 | 4.42186771561771 |
56 | 100.5 | 94.0947989510489 | 6.40520104895107 |
57 | 106.3 | 100.911465617716 | 5.38853438228438 |
58 | 112 | 110.411465617716 | 1.58853438228439 |
59 | 117.7 | 117.403132284382 | 0.296867715617708 |
60 | 125 | 119.336465617716 | 5.66353438228437 |
61 | 132.4 | 125.844798951049 | 6.55520104895108 |
62 | 138.1 | 134.794798951049 | 3.30520104895103 |
63 | 134.7 | 137.194798951049 | -2.49479895104898 |
64 | 136.7 | 131.644798951049 | 5.05520104895103 |
65 | 134.3 | 138.007298951049 | -3.70729895104893 |
66 | 131.6 | 137.865632284382 | -6.26563228438232 |
67 | 129.8 | 133.278132284382 | -3.47813228438227 |
68 | 131.9 | 128.294798951049 | 3.60520104895105 |
69 | 129.8 | 132.311465617716 | -2.51146561771563 |
70 | 119.4 | 133.911465617716 | -14.5114656177156 |
71 | 116.7 | 124.803132284382 | -8.1031322843823 |
72 | 112.8 | 118.336465617716 | -5.53646561771563 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 113.644798951049 | 101.971226681291 | 125.318371220807 |
74 | 116.039597902098 | 99.5306736768633 | 132.548522127332 |
75 | 115.134396853147 | 94.9151765760985 | 135.353617130195 |
76 | 112.079195804196 | 88.7320512646794 | 135.426340343712 |
77 | 113.386494755245 | 87.2835936198089 | 139.489395890681 |
78 | 116.952127039627 | 88.3578315032161 | 145.546422576038 |
79 | 118.630259324009 | 87.7448901864893 | 149.515628461529 |
80 | 117.125058275058 | 84.1072098245892 | 150.142906725527 |
81 | 117.536523892774 | 82.5158070834992 | 152.557240702048 |
82 | 121.647989510489 | 84.732912707472 | 158.563066313507 |
83 | 127.051121794872 | 88.3342626129864 | 165.767980976757 |
84 | 128.687587412587 | 88.2491468584907 | 169.126027966684 |