Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.536600454094031 |
beta | 0.263284283989488 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 9084 | 8462 | 622 |
4 | 9743 | 8264.64068851282 | 1478.35931148718 |
5 | 8587 | 8735.66450867045 | -148.664508670448 |
6 | 9731 | 8312.62351432486 | 1418.37648567514 |
7 | 9563 | 8930.84348372447 | 632.156516275527 |
8 | 9998 | 9216.4875636356 | 781.5124363644 |
9 | 9437 | 9692.68697652683 | -255.686976526827 |
10 | 10038 | 9576.20164956657 | 461.798350433433 |
11 | 9918 | 9909.96143756868 | 8.03856243132213 |
12 | 9252 | 10001.3691930512 | -749.36919305116 |
13 | 9737 | 9580.48187268725 | 156.518127312745 |
14 | 9035 | 9667.80674077051 | -632.806740770515 |
15 | 9133 | 9242.17756038402 | -109.177560384018 |
16 | 9487 | 9082.1035976795 | 404.896402320495 |
17 | 8700 | 9255.08509954843 | -555.085099548429 |
18 | 9627 | 8834.51852003769 | 792.481479962315 |
19 | 8947 | 9249.01734710991 | -302.017347109908 |
20 | 9283 | 9033.53905896064 | 249.460941039357 |
21 | 8829 | 9149.22772981819 | -320.227729818191 |
22 | 9947 | 8913.97991865163 | 1033.02008134837 |
23 | 9628 | 9550.82899025485 | 77.1710097451469 |
24 | 9318 | 9685.67161789349 | -367.671617893486 |
25 | 9605 | 9529.86740724643 | 75.1325927535745 |
26 | 8640 | 9622.28675458404 | -982.286754584044 |
27 | 9214 | 9008.51843377425 | 205.481566225750 |
28 | 9567 | 9061.13725380796 | 505.862746192044 |
29 | 8547 | 9346.40826437574 | -799.408264375745 |
30 | 9185 | 8818.3310843829 | 366.668915617105 |
31 | 9470 | 8967.77387073751 | 502.226129262488 |
32 | 9123 | 9260.91045679034 | -137.910456790341 |
33 | 9278 | 9191.0656822568 | 86.9343177432002 |
34 | 10170 | 9254.1546629221 | 915.845337077903 |
35 | 9434 | 9891.42689759714 | -457.426897597144 |
36 | 9655 | 9727.17605699355 | -72.1760569935541 |
37 | 9429 | 9759.4540697591 | -330.454069759107 |
38 | 8739 | 9606.45393941927 | -867.453939419269 |
39 | 9552 | 9042.74687298564 | 509.253127014365 |
40 | 9687 | 9289.72794432052 | 397.272055679479 |
41 | 9019 | 9532.74590867513 | -513.745908675128 |
42 | 9672 | 9214.3299856008 | 457.670014399195 |
43 | 9206 | 9481.83520568856 | -275.835205688560 |
44 | 9069 | 9316.77161677336 | -247.771616773358 |
45 | 9788 | 9131.7621683921 | 656.237831607894 |
46 | 10312 | 9524.55687492438 | 787.443125075615 |
47 | 10105 | 10099.0051585553 | 5.99484144474991 |
48 | 9863 | 10254.9748803441 | -391.974880344085 |
49 | 9656 | 10142.0162587647 | -486.016258764743 |
50 | 9295 | 9909.93135916443 | -614.931359164435 |
51 | 9946 | 9521.79399882013 | 424.206001179868 |
52 | 9701 | 9751.18939116352 | -50.1893911635161 |
53 | 9049 | 9718.93332034497 | -669.933320344973 |
54 | 10190 | 9259.47522365417 | 930.524776345828 |
55 | 9706 | 9790.2867817039 | -84.286781703895 |
56 | 9765 | 9764.64208963202 | 0.357910367982186 |
57 | 9893 | 9784.46834279044 | 108.531657209560 |
58 | 9994 | 9877.6738637055 | 116.326136294494 |
59 | 10433 | 9991.49628376845 | 441.503716231551 |
60 | 10073 | 10342.1841088014 | -269.184108801443 |
61 | 10112 | 10273.4866061468 | -161.486606146831 |
62 | 9266 | 10239.7650522699 | -973.765052269862 |
63 | 9820 | 9632.60248218784 | 187.397517812156 |
64 | 10097 | 9674.99550840211 | 422.004491597889 |
65 | 9115 | 9902.8988906469 | -787.898890646902 |
66 | 10411 | 9370.25442166405 | 1040.74557833595 |
67 | 9678 | 9965.89634427613 | -287.896344276134 |
68 | 10408 | 9807.91485390067 | 600.085146099334 |
69 | 10153 | 10211.2037436048 | -58.2037436048467 |
70 | 10368 | 10253.0315805367 | 114.968419463297 |
71 | 10581 | 10404.0262407872 | 176.973759212795 |
72 | 10597 | 10613.2955757884 | -16.2955757883610 |
73 | 10680 | 10716.5542839099 | -36.5542839098653 |
74 | 9738 | 10803.7778268849 | -1065.7778268849 |
75 | 9556 | 10188.1480924889 | -632.148092488906 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
76 | 9715.895357469 | 8605.84652425033 | 10825.9441906876 |
77 | 9582.8535759333 | 8241.79704723972 | 10923.9101046269 |
78 | 9449.8117943976 | 7829.544022337 | 11070.0795664582 |
79 | 9316.77001286191 | 7377.20760894004 | 11256.3324167838 |
80 | 9183.72823132622 | 6890.79879581453 | 11476.6576668379 |
81 | 9050.68644979053 | 6374.62111571105 | 11726.75178387 |
82 | 8917.64466825484 | 5831.7911504607 | 12003.4981860490 |
83 | 8784.60288671915 | 5264.62945417806 | 12304.5763192602 |
84 | 8651.56110518345 | 4674.91961313302 | 12628.2025972339 |
85 | 8518.51932364776 | 4064.07497094944 | 12972.9636763461 |
86 | 8385.47754211207 | 3433.24647346644 | 13337.7086107577 |
87 | 8252.43576057638 | 2783.39374750739 | 13721.4777736454 |