Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.536600454093893 |
beta | 0.263284283989902 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 9084 | 8462 | 622 |
4 | 9743 | 8264.64068851285 | 1478.35931148715 |
5 | 8587 | 8735.66450867064 | -148.664508670643 |
6 | 9731 | 8312.6235143253 | 1418.3764856747 |
7 | 9563 | 8930.84348372501 | 632.156516274987 |
8 | 9998 | 9216.48756363634 | 781.512436363664 |
9 | 9437 | 9692.68697652768 | -255.686976527675 |
10 | 10038 | 9576.20164956744 | 461.798350432558 |
11 | 9918 | 9909.96143756943 | 8.03856243056907 |
12 | 9252 | 10001.3691930518 | -749.369193051811 |
13 | 9737 | 9580.48187268773 | 156.518127312265 |
14 | 9035 | 9667.80674077075 | -632.806740770753 |
15 | 9133 | 9242.1775603841 | -109.177560384098 |
16 | 9487 | 9082.10359767941 | 404.896402320592 |
17 | 8700 | 9255.08509954827 | -555.085099548267 |
18 | 9627 | 8834.51852003755 | 792.481479962451 |
19 | 8947 | 9249.01734710976 | -302.017347109762 |
20 | 9283 | 9033.53905896061 | 249.46094103939 |
21 | 8829 | 9149.22772981818 | -320.227729818183 |
22 | 9947 | 8913.97991865166 | 1033.02008134834 |
23 | 9628 | 9550.82899025489 | 77.171009745105 |
24 | 9318 | 9685.67161789368 | -367.671617893677 |
25 | 9605 | 9529.86740724665 | 75.1325927533508 |
26 | 8640 | 9622.2867545842 | -982.286754584204 |
27 | 9214 | 9008.51843377432 | 205.481566225675 |
28 | 9567 | 9061.13725380785 | 505.86274619215 |
29 | 8547 | 9346.40826437562 | -799.408264375625 |
30 | 9185 | 8818.33108438282 | 366.668915617183 |
31 | 9470 | 8967.77387073737 | 502.22612926263 |
32 | 9123 | 9260.91045679027 | -137.910456790267 |
33 | 9278 | 9191.06568225683 | 86.9343177431711 |
34 | 10170 | 9254.15466292216 | 915.845337077842 |
35 | 9434 | 9891.42689759726 | -457.426897597265 |
36 | 9655 | 9727.17605699379 | -72.1760569937887 |
37 | 9429 | 9759.4540697593 | -330.454069759297 |
38 | 8739 | 9606.45393941938 | -867.453939419383 |
39 | 9552 | 9042.74687298561 | 509.253127014388 |
40 | 9687 | 9289.72794432034 | 397.272055679659 |
41 | 9019 | 9532.74590867499 | -513.74590867499 |
42 | 9672 | 9214.32998560074 | 457.67001439926 |
43 | 9206 | 9481.83520568848 | -275.835205688483 |
44 | 9069 | 9316.77161677334 | -247.771616773343 |
45 | 9788 | 9131.76216839207 | 656.237831607932 |
46 | 10312 | 9524.55687492434 | 787.443125075661 |
47 | 10105 | 10099.0051585553 | 5.9948414446626 |
48 | 9863 | 10254.9748803443 | -391.974880344331 |
49 | 9656 | 10142.016258765 | -486.016258765008 |
50 | 9295 | 9909.93135916459 | -614.931359164593 |
51 | 9946 | 9521.79399882012 | 424.206001179877 |
52 | 9701 | 9751.18939116337 | -50.1893911633651 |
53 | 9049 | 9718.93332034484 | -669.933320344835 |
54 | 10190 | 9259.47522365402 | 930.524776345979 |
55 | 9706 | 9790.28678170371 | -84.2867817037095 |
56 | 9765 | 9764.64208963197 | 0.357910368031298 |
57 | 9893 | 9784.46834279045 | 108.531657209553 |
58 | 9994 | 9877.67386370554 | 116.326136294456 |
59 | 10433 | 9991.49628376852 | 441.50371623148 |
60 | 10073 | 10342.1841088016 | -269.184108801554 |
61 | 10112 | 10273.486606147 | -161.486606146995 |
62 | 9266 | 10239.76505227 | -973.765052269981 |
63 | 9820 | 9632.60248218786 | 187.397517812142 |
64 | 10097 | 9674.99550840195 | 422.004491598051 |
65 | 9115 | 9902.89889064673 | -787.898890646728 |
66 | 10411 | 9370.25442166391 | 1040.74557833609 |
67 | 9678 | 9965.89634427598 | -287.896344275976 |
68 | 10408 | 9807.91485390065 | 600.085146099349 |
69 | 10153 | 10211.2037436049 | -58.2037436048886 |
70 | 10368 | 10253.0315805368 | 114.968419463155 |
71 | 10581 | 10404.0262407874 | 176.973759212629 |
72 | 10597 | 10613.2955757885 | -16.2955757885393 |
73 | 10680 | 10716.55428391 | -36.5542839100453 |
74 | 9738 | 10803.7778268851 | -1065.77782688506 |
75 | 9556 | 10188.148092489 | -632.148092488971 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
76 | 9715.89535746883 | 8605.84652425015 | 10825.9441906875 |
77 | 9582.85357593285 | 8241.79704723922 | 10923.9101046265 |
78 | 9449.81179439688 | 7829.54402233608 | 11070.0795664577 |
79 | 9316.7700128609 | 7377.2076089386 | 11256.3324167832 |
80 | 9183.72823132493 | 6890.79879581251 | 11476.6576668373 |
81 | 9050.68644978895 | 6374.62111570839 | 11726.7517838695 |
82 | 8917.64466825298 | 5831.79115045734 | 12003.4981860486 |
83 | 8784.602886717 | 5264.62945417398 | 12304.57631926 |
84 | 8651.56110518103 | 4674.91961312817 | 12628.2025972339 |
85 | 8518.51932364506 | 4064.07497094379 | 12972.9636763463 |
86 | 8385.47754210908 | 3433.24647345995 | 13337.7086107582 |
87 | 8252.43576057311 | 2783.39374750003 | 13721.4777736462 |