Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.609997415745508 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 203583 | 200940.803658591 | 2642.19634140879 |
14 | 201920 | 200993.261675558 | 926.738324441569 |
15 | 195978 | 195176.754066847 | 801.245933152939 |
16 | 191395 | 190411.964894434 | 983.035105565679 |
17 | 188222 | 187001.738609871 | 1220.26139012861 |
18 | 189422 | 188136.713075089 | 1285.28692491128 |
19 | 214419 | 221138.023085531 | -6719.02308553079 |
20 | 224325 | 217591.610929183 | 6733.38907081718 |
21 | 216222 | 210303.457133985 | 5918.5428660149 |
22 | 210506 | 205183.83084147 | 5322.16915853016 |
23 | 207221 | 203139.5843274 | 4081.4156725996 |
24 | 210027 | 211923.909565214 | -1896.90956521383 |
25 | 215191 | 224943.975118884 | -9752.97511888397 |
26 | 215177 | 216538.748207711 | -1361.74820771089 |
27 | 211701 | 208787.039745026 | 2913.96025497434 |
28 | 210176 | 204941.655974841 | 5234.34402515934 |
29 | 205491 | 203811.552813168 | 1679.44718683162 |
30 | 206996 | 205224.957107172 | 1771.04289282847 |
31 | 235980 | 237868.941210122 | -1888.94121012246 |
32 | 241292 | 242979.484818895 | -1687.4848188945 |
33 | 236675 | 229213.755361223 | 7461.24463877748 |
34 | 229127 | 223980.557385237 | 5146.44261476304 |
35 | 225436 | 220812.201479934 | 4623.79852006573 |
36 | 229570 | 227847.756473779 | 1722.24352622067 |
37 | 239973 | 240829.064877243 | -856.06487724313 |
38 | 236168 | 241127.590305333 | -4959.59030533285 |
39 | 230703 | 232199.461879007 | -1496.46187900708 |
40 | 224790 | 226031.205637763 | -1241.2056377632 |
41 | 217811 | 219100.687764092 | -1289.68776409229 |
42 | 219576 | 218717.693778193 | 858.306221807055 |
43 | 245472 | 251109.27389131 | -5637.27389131047 |
44 | 248511 | 254282.67136796 | -5771.67136796025 |
45 | 242084 | 241144.1980346 | 939.801965400024 |
46 | 235572 | 230758.255839639 | 4813.74416036147 |
47 | 229827 | 227015.740359958 | 2811.25964004247 |
48 | 229697 | 231845.321014161 | -2148.32101416108 |
49 | 239567 | 241502.037980858 | -1935.03798085815 |
50 | 237201 | 239515.163254597 | -2314.16325459731 |
51 | 233164 | 233505.679775511 | -341.679775511351 |
52 | 227755 | 228073.665051186 | -318.665051185701 |
53 | 220189 | 221590.452486986 | -1401.45248698554 |
54 | 221270 | 221983.465521266 | -713.465521266335 |
55 | 245413 | 251108.560076728 | -5695.56007672759 |
56 | 247826 | 254212.759143082 | -6386.75914308234 |
57 | 237736 | 243259.134613382 | -5523.13461338202 |
58 | 230079 | 230510.723552298 | -431.723552297684 |
59 | 225939 | 222964.474124341 | 2974.52587565855 |
60 | 228987 | 225944.760413555 | 3042.23958644483 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 238762.238002735 | 231171.022356328 | 246353.453649141 |
62 | 237808.275086082 | 228933.385277123 | 246683.16489504 |
63 | 233967.886384687 | 224039.023415922 | 243896.749353452 |
64 | 228732.70410972 | 217921.183375741 | 239544.224843699 |
65 | 221987.661188081 | 210447.914131277 | 233527.408244886 |
66 | 223509.996962896 | 211046.888955728 | 235973.104970064 |
67 | 251367.439303985 | 236966.611152005 | 265768.267455964 |
68 | 257770.269721594 | 242390.357125417 | 273150.182317772 |
69 | 250717.044173061 | 235032.75463471 | 266401.333711411 |
70 | 242878.509176274 | 226962.772970101 | 258794.245382448 |
71 | 236542.393318967 | 220346.532260108 | 252738.254377826 |
72 | 237746.21209237 | 222678.729074379 | 252813.695110361 |