Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.53660045409414 |
beta | 0.263284283989569 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 9084 | 8462 | 622 |
4 | 9743 | 8264.64068851293 | 1478.35931148707 |
5 | 8587 | 8735.6645086708 | -148.664508670796 |
6 | 9731 | 8312.62351432508 | 1418.37648567492 |
7 | 9563 | 8930.84348372488 | 632.156516275123 |
8 | 9998 | 9216.48756363599 | 781.51243636401 |
9 | 9437 | 9692.68697652723 | -255.686976527229 |
10 | 10038 | 9576.20164956678 | 461.798350433215 |
11 | 9918 | 9909.9614375689 | 8.0385624311075 |
12 | 9252 | 10001.3691930513 | -749.36919305129 |
13 | 9737 | 9580.4818726872 | 156.518127312806 |
14 | 9035 | 9667.80674077049 | -632.806740770488 |
15 | 9133 | 9242.17756038388 | -109.177560383876 |
16 | 9487 | 9082.10359767938 | 404.896402320623 |
17 | 8700 | 9255.08509954841 | -555.085099548412 |
18 | 9627 | 8834.51852003758 | 792.481479962422 |
19 | 8947 | 9249.01734710998 | -302.017347109977 |
20 | 9283 | 9033.53905896064 | 249.460941039355 |
21 | 8829 | 9149.22772981824 | -320.227729818236 |
22 | 9947 | 8913.9799186516 | 1033.02008134839 |
23 | 9628 | 9550.82899025502 | 77.1710097449777 |
24 | 9318 | 9685.67161789362 | -367.671617893622 |
25 | 9605 | 9529.86740724645 | 75.1325927535509 |
26 | 8640 | 9622.28675458407 | -982.286754584067 |
27 | 9214 | 9008.51843377409 | 205.481566225913 |
28 | 9567 | 9061.13725380787 | 505.86274619213 |
29 | 8547 | 9346.40826437578 | -799.408264375776 |
30 | 9185 | 8818.33108438278 | 366.668915617223 |
31 | 9470 | 8967.7738707375 | 502.226129262506 |
32 | 9123 | 9260.91045679043 | -137.910456790425 |
33 | 9278 | 9191.06568225684 | 86.934317743162 |
34 | 10170 | 9254.15466292214 | 915.845337077859 |
35 | 9434 | 9891.42689759734 | -457.426897597339 |
36 | 9655 | 9727.1760569936 | -72.1760569936087 |
37 | 9429 | 9759.45406975913 | -330.454069759127 |
38 | 8739 | 9606.45393941922 | -867.453939419218 |
39 | 9552 | 9042.74687298543 | 509.253127014566 |
40 | 9687 | 9289.72794432047 | 397.272055679534 |
41 | 9019 | 9532.74590867517 | -513.745908675166 |
42 | 9672 | 9214.32998560075 | 457.670014399253 |
43 | 9206 | 9481.8352056886 | -275.835205688600 |
44 | 9069 | 9316.77161677334 | -247.771616773343 |
45 | 9788 | 9131.76216839205 | 656.23783160795 |
46 | 10312 | 9524.55687492446 | 787.443125075537 |
47 | 10105 | 10099.0051585555 | 5.994841444548 |
48 | 9863 | 10254.9748803442 | -391.974880344231 |
49 | 9656 | 10142.0162587648 | -486.016258764772 |
50 | 9295 | 9909.93135916436 | -614.931359164359 |
51 | 9946 | 9521.79399881996 | 424.206001180039 |
52 | 9701 | 9751.18939116347 | -50.1893911634688 |
53 | 9049 | 9718.93332034494 | -669.933320344935 |
54 | 10190 | 9259.47522365403 | 930.524776345974 |
55 | 9706 | 9790.28678170396 | -84.2867817039605 |
56 | 9765 | 9764.64208963206 | 0.357910367942168 |
57 | 9893 | 9784.46834279047 | 108.531657209531 |
58 | 9994 | 9877.67386370555 | 116.326136294452 |
59 | 10433 | 9991.4962837685 | 441.5037162315 |
60 | 10073 | 10342.1841088016 | -269.184108801557 |
61 | 10112 | 10273.4866061469 | -161.486606146864 |
62 | 9266 | 10239.7650522699 | -973.765052269851 |
63 | 9820 | 9632.60248218766 | 187.397517812344 |
64 | 10097 | 9674.995508402 | 422.004491597991 |
65 | 9115 | 9902.89889064691 | -787.898890646911 |
66 | 10411 | 9370.25442166391 | 1040.74557833609 |
67 | 9678 | 9965.89634427623 | -287.896344276229 |
68 | 10408 | 9807.91485390069 | 600.085146099313 |
69 | 10153 | 10211.2037436050 | -58.2037436049723 |
70 | 10368 | 10253.0315805368 | 114.968419463217 |
71 | 10581 | 10404.0262407873 | 176.973759212720 |
72 | 10597 | 10613.2955757884 | -16.2955757884429 |
73 | 10680 | 10716.5542839099 | -36.5542839099126 |
74 | 9738 | 10803.7778268849 | -1065.77782688492 |
75 | 9556 | 10188.1480924887 | -632.148092488724 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
76 | 9715.89535746874 | 8605.84652425008 | 10825.9441906874 |
77 | 9582.85357593296 | 8241.79704723925 | 10923.9101046267 |
78 | 9449.81179439717 | 7829.5440223363 | 11070.0795664580 |
79 | 9316.77001286138 | 7377.20760893909 | 11256.3324167837 |
80 | 9183.7282313256 | 6890.79879581331 | 11476.6576668379 |
81 | 9050.6864497898 | 6374.62111570954 | 11726.7517838701 |
82 | 8917.64466825402 | 5831.79115045889 | 12003.4981860491 |
83 | 8784.60288671823 | 5264.62945417595 | 12304.5763192605 |
84 | 8651.56110518244 | 4674.91961313059 | 12628.2025972343 |
85 | 8518.51932364665 | 4064.07497094669 | 12972.9636763466 |
86 | 8385.47754211086 | 3433.24647346334 | 13337.7086107584 |
87 | 8252.43576057508 | 2783.39374750394 | 13721.4777736462 |