Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 122 | 116.516397726313 | 5.48360227368678 |
14 | 122.1 | 122.182945499263 | -0.0829454992628911 |
15 | 127.4 | 127.718432479231 | -0.318432479230864 |
16 | 135.2 | 135.610161653526 | -0.410161653525876 |
17 | 137.3 | 137.418292153351 | -0.118292153351263 |
18 | 135 | 134.885920174669 | 0.114079825330947 |
19 | 136 | 138.310626170459 | -2.31062617045879 |
20 | 138.4 | 137.030300688663 | 1.36969931133706 |
21 | 134.7 | 141.695776982594 | -6.99577698259381 |
22 | 138.4 | 132.661548225744 | 5.73845177425594 |
23 | 133.9 | 131.147073582721 | 2.75292641727867 |
24 | 133.6 | 129.443017082836 | 4.15698291716396 |
25 | 141.2 | 135.244335778506 | 5.955664221494 |
26 | 151.8 | 141.293851029031 | 10.5061489709687 |
27 | 155.4 | 158.595650753974 | -3.19565075397423 |
28 | 156.6 | 165.233514265211 | -8.63351426521129 |
29 | 161.6 | 159.037664152692 | 2.56233584730774 |
30 | 160.7 | 158.614813407126 | 2.08518659287409 |
31 | 156 | 164.483294211696 | -8.48329421169589 |
32 | 159.5 | 157.059908883138 | 2.44009111686202 |
33 | 168.7 | 163.169619692391 | 5.53038030760914 |
34 | 169.9 | 165.938596346448 | 3.961403653552 |
35 | 169.9 | 160.819270729613 | 9.08072927038745 |
36 | 185.9 | 164.043735085615 | 21.8562649143846 |
37 | 190.8 | 187.893437119827 | 2.90656288017317 |
38 | 195.8 | 190.663690314266 | 5.13630968573352 |
39 | 211.9 | 204.339677827668 | 7.56032217233187 |
40 | 227.1 | 225.009207928077 | 2.09079207192346 |
41 | 251.3 | 230.260361627157 | 21.0396383728433 |
42 | 256.7 | 246.2066538578 | 10.4933461422000 |
43 | 251.9 | 262.248902459119 | -10.3489024591186 |
44 | 251.2 | 253.101880175646 | -1.90188017564591 |
45 | 270.3 | 256.494329478571 | 13.8056705214294 |
46 | 267.2 | 265.378246024787 | 1.82175397521314 |
47 | 243 | 252.473390805565 | -9.47339080556546 |
48 | 229.9 | 234.302415252370 | -4.40241525237033 |
49 | 187.2 | 232.18713614503 | -44.9871361450299 |
50 | 178.2 | 187.080395527435 | -8.8803955274349 |
51 | 175.2 | 186.042066998191 | -10.8420669981906 |
52 | 192.4 | 186.181456469189 | 6.21854353081119 |
53 | 187 | 195.204650955328 | -8.20465095532813 |
54 | 184 | 183.417854069859 | 0.582145930141422 |
55 | 194.1 | 188.211822046747 | 5.88817795325252 |
56 | 212.7 | 195.216312493613 | 17.4836875063870 |
57 | 217.5 | 217.312199415671 | 0.187800584329267 |
58 | 200.5 | 213.700947766753 | -13.2009477667525 |
59 | 205.9 | 189.643690815164 | 16.2563091848360 |
60 | 196.5 | 198.644453088395 | -2.14445308839490 |
61 | 206.3 | 198.564191884989 | 7.73580811501066 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 206.091765090902 | 185.623894483243 | 226.559635698562 |
63 | 215.039377394812 | 185.514198788967 | 244.564556000658 |
64 | 228.330596626208 | 190.985166291131 | 265.676026961285 |
65 | 231.503573133845 | 188.580906818577 | 274.426239449112 |
66 | 226.875489269687 | 180.231011058486 | 273.519967480888 |
67 | 231.875866706714 | 180.151528484447 | 283.600204928982 |
68 | 233.048102960723 | 177.350094443693 | 288.746111477753 |
69 | 238.020823227108 | 177.753870261532 | 298.287776192684 |
70 | 233.785430766897 | 171.349699910565 | 296.22116162323 |
71 | 220.997718238484 | 158.725035072443 | 283.270401404525 |
72 | 213.155338956595 | 149.900135738223 | 276.410542174967 |
73 | 215.330704860129 | 147.258284662347 | 283.403125057911 |