Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.196498523917098 |
beta | 0.0899638888814172 |
gamma | 0.583891170761644 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 120.2 | 110.836266892128 | 9.36373310787225 |
14 | 100.2 | 93.7737425390607 | 6.42625746093925 |
15 | 143.2 | 137.733968961221 | 5.46603103877948 |
16 | 70.9 | 69.2677650721188 | 1.63223492788116 |
17 | 85.2 | 83.563859402248 | 1.63614059775202 |
18 | 133 | 131.471213139645 | 1.52878686035532 |
19 | 136.6 | 112.802431551073 | 23.7975684489271 |
20 | 117.9 | 136.202701952687 | -18.3027019526874 |
21 | 106.3 | 127.870142486416 | -21.5701424864163 |
22 | 122.3 | 114.292139737955 | 8.00786026204501 |
23 | 125.5 | 121.150889303946 | 4.34911069605408 |
24 | 148.4 | 161.952468839141 | -13.5524688391415 |
25 | 126.3 | 141.820088080406 | -15.5200880804060 |
26 | 99.6 | 114.330930031326 | -14.7309300313257 |
27 | 140.4 | 158.468316777822 | -18.0683167778224 |
28 | 80.3 | 76.103667450336 | 4.19633254966406 |
29 | 92.6 | 91.5099997783892 | 1.09000022161084 |
30 | 138.5 | 142.155019193663 | -3.65501919366267 |
31 | 110.9 | 130.82261788252 | -19.9226178825200 |
32 | 119.6 | 124.011853083112 | -4.41185308311196 |
33 | 105 | 115.229242095174 | -10.2292420951737 |
34 | 109 | 116.476607663784 | -7.47660766378387 |
35 | 129.4 | 116.966482707007 | 12.4335172929932 |
36 | 148.6 | 148.050329870125 | 0.549670129875324 |
37 | 101.4 | 128.964019288729 | -27.5640192887285 |
38 | 134.8 | 99.6220205129872 | 35.1779794870128 |
39 | 143.7 | 152.162179437852 | -8.46217943785194 |
40 | 81.6 | 80.0212821933726 | 1.57871780662735 |
41 | 90.3 | 93.4181970405116 | -3.11819704051156 |
42 | 141.5 | 140.783350177299 | 0.716649822701498 |
43 | 140.7 | 121.849978681189 | 18.8500213188111 |
44 | 140.2 | 130.47529005527 | 9.72470994472985 |
45 | 100.2 | 121.107034884099 | -20.9070348840991 |
46 | 125.7 | 122.147022453900 | 3.55297754609956 |
47 | 119.6 | 135.697013378742 | -16.0970133787416 |
48 | 134.7 | 156.956073049891 | -22.2560730498909 |
49 | 109 | 118.415772442545 | -9.41577244254475 |
50 | 116.3 | 121.236254667216 | -4.93625466721626 |
51 | 146.9 | 143.849462541121 | 3.05053745887881 |
52 | 97.4 | 79.1900307188684 | 18.2099692811316 |
53 | 89.4 | 93.7095433342137 | -4.30954333421366 |
54 | 132.1 | 143.192577388638 | -11.0925773886379 |
55 | 139.8 | 129.768647719405 | 10.031352280595 |
56 | 129 | 131.705789881828 | -2.70578988182803 |
57 | 112.5 | 105.636187052539 | 6.86381294746096 |
58 | 121.9 | 123.320922692383 | -1.4209226923831 |
59 | 121.7 | 126.117611532921 | -4.41761153292131 |
60 | 123.1 | 146.348068519575 | -23.2480685195753 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 113.459640628880 | 96.3315883874954 | 130.587692870264 |
62 | 120.273009022562 | 102.174500466326 | 138.371517578797 |
63 | 148.220115600902 | 128.207138399329 | 168.233092802475 |
64 | 88.7826108260244 | 70.0979528260481 | 107.467268826001 |
65 | 88.7979231027091 | 69.0910776021049 | 108.504768603313 |
66 | 134.411176744043 | 109.622097010197 | 159.200256477890 |
67 | 132.811807301196 | 106.660707089634 | 158.962907512757 |
68 | 126.588181350545 | 99.6337017801938 | 153.542660920897 |
69 | 105.767533360297 | 80.1108516189914 | 131.424215101604 |
70 | 117.283993882002 | 88.3337441384241 | 146.234243625581 |
71 | 118.460753727227 | 87.6312341444537 | 149.290273310000 |
72 | 129.548212502931 | -45.6960479819908 | 304.792472987854 |