Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0187838542206062 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 63.8 | 63.0936939357523 | 0.706306064247656 |
14 | 63.8 | 63.7519333415792 | 0.0480666584208436 |
15 | 62.7 | 62.5512273759723 | 0.148772624027686 |
16 | 62.3 | 61.9262376464367 | 0.373762353563301 |
17 | 62.4 | 62.0923520860883 | 0.307647913911744 |
18 | 64.8 | 64.6251710756794 | 0.174828924320579 |
19 | 66.4 | 64.8983597646774 | 1.50164023532263 |
20 | 65.1 | 66.7590509475527 | -1.6590509475527 |
21 | 67.4 | 63.9995598217161 | 3.40044017828387 |
22 | 68.8 | 67.1593165255274 | 1.64068347447262 |
23 | 68.6 | 72.9661027431291 | -4.36610274312908 |
24 | 71.5 | 71.7395636341269 | -0.239563634126924 |
25 | 75 | 69.5060672081795 | 5.49393279182047 |
26 | 84.3 | 75.0228465692385 | 9.27715343076146 |
27 | 84 | 82.8527804788071 | 1.14721952119292 |
28 | 79.1 | 83.1748126515922 | -4.07481265159221 |
29 | 78.8 | 78.9819309693183 | -0.18193096931833 |
30 | 82.7 | 81.7511008050296 | 0.948899194970394 |
31 | 85.3 | 82.9755135970712 | 2.32448640292877 |
32 | 84.5 | 85.9160106751087 | -1.41601067510872 |
33 | 80.8 | 83.2320489563062 | -2.43204895630625 |
34 | 70.1 | 80.5796646316997 | -10.4796646316997 |
35 | 68.2 | 74.2461680136315 | -6.04616801363153 |
36 | 68.1 | 71.1961211452563 | -3.09612114525629 |
37 | 72.3 | 66.042000293922 | 6.25799970607804 |
38 | 73.1 | 72.178105362656 | 0.921894637344039 |
39 | 71.5 | 71.6155541944857 | -0.115554194485668 |
40 | 74.1 | 70.5612408108479 | 3.53875918915205 |
41 | 80.3 | 73.8402867347722 | 6.45971326522782 |
42 | 80.6 | 83.2374705881872 | -2.63747058818716 |
43 | 81.4 | 80.7562126637853 | 0.643787336214714 |
44 | 87.4 | 81.8572629159476 | 5.54273708405243 |
45 | 89.3 | 86.0425220911107 | 3.25747790888933 |
46 | 93.2 | 89.0821145371481 | 4.11788546285186 |
47 | 92.8 | 98.9760710696663 | -6.17607106966635 |
48 | 96.8 | 97.1804942169822 | -0.380494216982157 |
49 | 100.3 | 94.2281699129898 | 6.07183008701024 |
50 | 95.6 | 100.439220995964 | -4.83922099596415 |
51 | 89 | 93.8703385557882 | -4.87033855578815 |
52 | 87.4 | 87.9702079995864 | -0.570207999586401 |
53 | 86.7 | 87.1611504695597 | -0.461150469559669 |
54 | 92.8 | 89.8327470234828 | 2.96725297651724 |
55 | 98.6 | 93.019159826933 | 5.58084017306702 |
56 | 100.8 | 99.2575905722311 | 1.54240942776889 |
57 | 105.5 | 99.2718312538208 | 6.22816874617918 |
58 | 107.8 | 105.309091270899 | 2.49090872910099 |
59 | 113.7 | 114.521446990503 | -0.821446990503006 |
60 | 120.3 | 119.190838507941 | 1.10916149205939 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 117.241913924896 | 109.690949288188 | 124.792878561604 |
62 | 117.452400127128 | 106.703369730717 | 128.201430523538 |
63 | 115.44243564632 | 102.359930809288 | 128.524940483352 |
64 | 114.29669148038 | 99.179529930353 | 129.413853030407 |
65 | 114.181514434448 | 97.1486534342284 | 131.214375434669 |
66 | 118.517699212905 | 99.116224397572 | 137.919174028238 |
67 | 118.955476823039 | 97.8743763683575 | 140.036577277721 |
68 | 119.818050733139 | 97.0686715576826 | 142.567429908596 |
69 | 118.046720728141 | 94.1724031848356 | 141.921038271446 |
70 | 117.793360195429 | 92.5657300594378 | 143.020990331421 |
71 | 125.063217070772 | 96.9687992350436 | 153.157634906501 |
72 | 131.03631248706 | 99.8247898927558 | 162.247835081364 |