Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.630243947316295 |
beta | 0 |
gamma | 0.749185747177312 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 17428.5 | 17045.0413728632 | 383.458627136752 |
14 | 17167.2 | 16972.2721121519 | 194.927887848087 |
15 | 19630 | 19575.0533274542 | 54.9466725458369 |
16 | 17183.6 | 17148.4288957409 | 35.1711042591451 |
17 | 18344.7 | 18304.7410318101 | 39.958968189876 |
18 | 19301.4 | 19328.5706901423 | -27.1706901423095 |
19 | 18147.5 | 17198.0131209586 | 949.48687904144 |
20 | 16192.9 | 16392.1964066868 | -199.296406686839 |
21 | 18374.4 | 19641.4409798067 | -1267.04097980675 |
22 | 20515.2 | 19100.2626651047 | 1414.93733489531 |
23 | 18957.2 | 20065.7391167438 | -1108.53911674381 |
24 | 16471.5 | 16943.7431418755 | -472.243141875519 |
25 | 18746.8 | 18126.5805153514 | 620.219484648616 |
26 | 19009.5 | 18150.8023274469 | 858.69767255308 |
27 | 19211.2 | 21133.1434005877 | -1921.94340058765 |
28 | 20547.7 | 17455.1178176478 | 3092.58218235222 |
29 | 19325.8 | 20539.6710948882 | -1213.87109488816 |
30 | 20605.5 | 20754.6859579458 | -149.185957945836 |
31 | 20056.9 | 18817.7787433632 | 1239.12125663684 |
32 | 16141.4 | 17876.2710324896 | -1734.87103248964 |
33 | 20359.8 | 19861.9466991722 | 497.853300827766 |
34 | 19711.6 | 21176.0331323852 | -1464.43313238521 |
35 | 15638.6 | 19627.7605115353 | -3989.16051153528 |
36 | 14384.5 | 14866.5344813411 | -482.034481341103 |
37 | 13855.6 | 16345.8305106622 | -2490.23051066216 |
38 | 14308.3 | 14475.7723050423 | -167.472305042258 |
39 | 15290.6 | 16041.0939917945 | -750.493991794543 |
40 | 14423.8 | 14490.4709497192 | -66.6709497191696 |
41 | 13779.7 | 14390.9677538183 | -611.267753818256 |
42 | 15686.3 | 15280.7045054266 | 405.595494573441 |
43 | 14733.8 | 14078.0282055907 | 655.771794409327 |
44 | 12522.5 | 11945.0246842833 | 577.475315716734 |
45 | 16189.4 | 16006.5429259088 | 182.857074091233 |
46 | 16059.1 | 16578.5202246694 | -519.420224669355 |
47 | 16007.1 | 14926.4464787478 | 1080.65352125218 |
48 | 15806.8 | 14331.9699569763 | 1474.83004302370 |
49 | 15160 | 16488.2656483216 | -1328.26564832162 |
50 | 15692.1 | 15993.9698690558 | -301.869869055789 |
51 | 18908.9 | 17313.0819896142 | 1595.81801038576 |
52 | 16969.9 | 17430.6377850470 | -460.737785046964 |
53 | 16997.5 | 16931.9143423353 | 65.5856576646911 |
54 | 19858.9 | 18529.9212133739 | 1328.97878662613 |
55 | 17681.2 | 17978.5044734271 | -297.304473427073 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
56 | 15223.1410284149 | 12823.7453771385 | 17622.5366796913 |
57 | 18811.3933947315 | 15975.2230538323 | 21647.5637356306 |
58 | 19073.584105987 | 15859.4551549603 | 22287.7130570137 |
59 | 18192.1177849397 | 14640.0215552382 | 21744.2140146412 |
60 | 17025.7591116554 | 13165.1697348514 | 20886.3484884594 |
61 | 17476.0498382518 | 13329.8572417213 | 21622.2424347822 |
62 | 18103.2134611267 | 13689.8614743988 | 22516.5654478547 |
63 | 20138.2670779740 | 15473.0298417782 | 24803.5043141698 |
64 | 18680.3694439107 | 13776.1670438033 | 23584.5718440182 |
65 | 18617.8231977009 | 13485.7705973809 | 23749.8757980209 |
66 | 20524.4751712578 | 15174.2670815025 | 25874.6832610131 |
67 | 18684.9711689265 | 13125.1609819763 | 24244.7813558767 |