Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.311491073238867 |
beta | 0.198311700434253 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 15262.2 | 14642.7843279036 | 619.415672096362 |
14 | 18581 | 18118.4834432848 | 462.516556715174 |
15 | 17564.1 | 17390.8746132434 | 173.225386756629 |
16 | 18948.6 | 18920.8218426668 | 27.7781573331667 |
17 | 17187.8 | 17163.9949958722 | 23.8050041278475 |
18 | 17564.8 | 17580.668405127 | -15.8684051270102 |
19 | 17668.4 | 18022.9436502772 | -354.543650277174 |
20 | 20811.7 | 21044.3377955138 | -232.637795513809 |
21 | 17257.8 | 18816.9020020803 | -1559.10200208033 |
22 | 18984.2 | 17441.4214663555 | 1542.77853364446 |
23 | 20532.6 | 19745.2406121274 | 787.359387872613 |
24 | 17082.3 | 17184.1730324847 | -101.873032484731 |
25 | 16894.9 | 17365.1292307161 | -470.229230716148 |
26 | 20274.9 | 20793.3156484679 | -518.415648467897 |
27 | 20078.6 | 19381.2679325466 | 697.33206745343 |
28 | 19900.9 | 21100.5621325104 | -1199.66213251041 |
29 | 17012.2 | 18698.9432523858 | -1686.74325238578 |
30 | 19642.9 | 18382.5358630304 | 1260.36413696965 |
31 | 19024 | 18884.0072523413 | 139.992747658656 |
32 | 21691 | 22270.1591755163 | -579.159175516299 |
33 | 18835.9 | 18701.2075968680 | 134.692403132041 |
34 | 19873.4 | 20066.6909084720 | -193.290908472030 |
35 | 21468.2 | 21251.2814731504 | 216.918526849619 |
36 | 19406.8 | 17639.6546540046 | 1767.14534599536 |
37 | 18385.3 | 18125.0818283013 | 260.218171698732 |
38 | 20739.3 | 22050.6191387497 | -1311.31913874966 |
39 | 22268.3 | 21181.0612114590 | 1087.23878854096 |
40 | 21569 | 21719.030309965 | -150.030309964983 |
41 | 17514.8 | 19123.4283381395 | -1608.62833813954 |
42 | 21124.7 | 21129.4605710907 | -4.76057109073736 |
43 | 21251 | 20404.8071634457 | 846.192836554284 |
44 | 21393 | 23794.4895257723 | -2401.48952577232 |
45 | 22145.2 | 19905.6647340366 | 2239.53526596338 |
46 | 20310.5 | 21871.8211575444 | -1561.32115754439 |
47 | 23466.9 | 23013.3021334836 | 453.597866516368 |
48 | 21264.6 | 20296.2891951033 | 968.310804896715 |
49 | 18388.1 | 19366.8994649676 | -978.799464967553 |
50 | 22635.4 | 21757.2621186045 | 878.13788139549 |
51 | 22014.3 | 23261.6939461822 | -1247.39394618223 |
52 | 18422.7 | 22044.6205255027 | -3621.92052550270 |
53 | 16120.2 | 17143.7070166730 | -1023.50701667302 |
54 | 16037.7 | 19969.4835900108 | -3931.78359001076 |
55 | 16410.7 | 18061.4499175978 | -1650.74991759779 |
56 | 17749.8 | 17518.9750607891 | 230.824939210892 |
57 | 16349.8 | 17001.9720051595 | -652.172005159511 |
58 | 15662.3 | 15064.6069679350 | 597.693032065039 |
59 | 17782.3 | 16842.0211896562 | 940.278810343767 |
60 | 16398.9 | 14736.5583475352 | 1662.34165246485 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 12962.318981157 | 10473.9966432103 | 15450.6413191037 |
62 | 15277.3509126681 | 12546.4029491879 | 18008.2988761483 |
63 | 14602.8882141092 | 11655.1143141912 | 17550.6621140273 |
64 | 12477.5640325729 | 9409.06376016824 | 15546.0643049776 |
65 | 10882.9735733212 | 7679.75340311765 | 14086.1937435248 |
66 | 11318.6247551700 | 7691.90763956933 | 14945.3418707707 |
67 | 11853.1013534477 | 7676.41975220837 | 16029.7829546871 |
68 | 12776.9950409588 | 7816.70768107842 | 17737.2824008391 |
69 | 11908.8939136802 | 6620.370238292 | 17197.4175890683 |
70 | 11299.1377226850 | 5602.17672937129 | 16996.0987159986 |
71 | 12607.8120617308 | 5579.20203342722 | 19636.4220900345 |
72 | 11184.1087743144 | 4539.17215568877 | 17829.0453929401 |