Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.177301097189880 |
beta | 0.0428118109755981 |
gamma | 0.788749875228097 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 90 | 90.6679905850666 | -0.667990585066647 |
14 | 69.3 | 70.5134914823573 | -1.21349148235733 |
15 | 87.3 | 89.7183509239835 | -2.41835092398351 |
16 | 57.4 | 58.5942509902544 | -1.19425099025437 |
17 | 56.2 | 56.8428931646303 | -0.642893164630287 |
18 | 61.6 | 61.7977112556271 | -0.197711255627119 |
19 | 77.7 | 78.4721393845347 | -0.772139384534668 |
20 | 177.2 | 200.287272333324 | -23.0872723333240 |
21 | 97.6 | 98.1034213700852 | -0.503421370085192 |
22 | 81.6 | 73.8839120764627 | 7.71608792353734 |
23 | 96.8 | 90.1324285853193 | 6.66757141468065 |
24 | 191.3 | 177.395772364307 | 13.9042276356927 |
25 | 106 | 84.8826933313129 | 21.1173066686871 |
26 | 75.1 | 68.7096499387793 | 6.39035006122073 |
27 | 72 | 88.8210993332873 | -16.8210993332873 |
28 | 63.5 | 56.6672539705457 | 6.83274602945426 |
29 | 57.4 | 56.8478036413335 | 0.552196358666471 |
30 | 62.3 | 62.5491549075878 | -0.249154907587801 |
31 | 79.4 | 79.30839673796 | 0.091603262039996 |
32 | 178.1 | 189.122959763264 | -11.0229597632636 |
33 | 109.3 | 101.362561367293 | 7.93743863270656 |
34 | 85.2 | 83.264679720207 | 1.93532027979296 |
35 | 102.7 | 98.7077583156208 | 3.99224168437922 |
36 | 193.7 | 194.311714496881 | -0.61171449688095 |
37 | 108.4 | 101.046147516168 | 7.35385248383209 |
38 | 73.4 | 72.9007120659564 | 0.499287934043579 |
39 | 85.9 | 76.528601610979 | 9.37139838902107 |
40 | 58.5 | 63.8698634562511 | -5.36986345625113 |
41 | 58.6 | 57.8503669869448 | 0.749633013055217 |
42 | 62.7 | 63.2261291791202 | -0.526129179120154 |
43 | 77.5 | 80.4971951397315 | -2.99719513973155 |
44 | 180.5 | 183.457234392854 | -2.95723439285408 |
45 | 102.2 | 108.341102339044 | -6.14110233904414 |
46 | 82.6 | 84.0364303675374 | -1.43643036753740 |
47 | 97.8 | 100.009468172683 | -2.20946817268329 |
48 | 197.8 | 189.319037619591 | 8.4809623804091 |
49 | 93.8 | 104.138505398718 | -10.3385053987177 |
50 | 72.4 | 69.8420194678372 | 2.55798053216279 |
51 | 77.7 | 79.002386465694 | -1.302386465694 |
52 | 58.7 | 56.2751155546368 | 2.42488444536320 |
53 | 53.1 | 55.5947129314329 | -2.49471293143286 |
54 | 64.3 | 59.2214452962312 | 5.07855470376884 |
55 | 76.4 | 75.1355630710539 | 1.26443692894613 |
56 | 188.4 | 175.264227054030 | 13.1357729459704 |
57 | 105.5 | 102.372393927202 | 3.12760607279837 |
58 | 79.8 | 82.9074429994715 | -3.10744299947149 |
59 | 96.1 | 98.0627110525615 | -1.96271105256153 |
60 | 202.5 | 194.009387991212 | 8.4906120087881 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 96.9870273003228 | 85.0394651893925 | 108.934589411253 |
62 | 72.6489826866791 | 60.5343460482092 | 84.763619325149 |
63 | 79.0137789951327 | 66.508362384022 | 91.5191956062434 |
64 | 58.7304444640236 | 46.2853633971329 | 71.1755255309143 |
65 | 54.4431714793825 | 41.7862397295222 | 67.1001032292427 |
66 | 63.6245592070752 | 50.2706143557775 | 76.978504058373 |
67 | 76.2647677551732 | 61.8316288524743 | 90.6979066578721 |
68 | 184.008021584436 | 159.584621183844 | 208.431421985029 |
69 | 103.219492148683 | 85.9322732952686 | 120.506711002098 |
70 | 79.529003916295 | 63.8250051887494 | 95.2330026438407 |
71 | 95.8234881436802 | 78.0766209665477 | 113.570355320813 |
72 | 198.263447889791 | -32.8209580904064 | 429.347853869989 |