Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.536600454094042 |
beta | 0.263284283989557 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 9084 | 8462 | 622 |
4 | 9743 | 8264.64068851285 | 1478.35931148715 |
5 | 8587 | 8735.66450867056 | -148.664508670558 |
6 | 9731 | 8312.62351432497 | 1418.37648567503 |
7 | 9563 | 8930.84348372464 | 632.156516275361 |
8 | 9998 | 9216.48756363578 | 781.512436364215 |
9 | 9437 | 9692.68697652703 | -255.686976527028 |
10 | 10038 | 9576.20164956672 | 461.798350433275 |
11 | 9918 | 9909.96143756882 | 8.03856243117843 |
12 | 9252 | 10001.3691930513 | -749.36919305127 |
13 | 9737 | 9580.4818726873 | 156.518127312702 |
14 | 9035 | 9667.80674077054 | -632.806740770538 |
15 | 9133 | 9242.17756038399 | -109.177560383992 |
16 | 9487 | 9082.10359767946 | 404.896402320541 |
17 | 8700 | 9255.0850995484 | -555.085099548405 |
18 | 9627 | 8834.51852003764 | 792.481479962358 |
19 | 8947 | 9249.01734710991 | -302.017347109908 |
20 | 9283 | 9033.53905896064 | 249.460941039359 |
21 | 8829 | 9149.2277298182 | -320.227729818202 |
22 | 9947 | 8913.97991865163 | 1033.02008134837 |
23 | 9628 | 9550.8289902549 | 77.1710097450996 |
24 | 9318 | 9685.67161789354 | -367.671617893542 |
25 | 9605 | 9529.86740724646 | 75.1325927535436 |
26 | 8640 | 9622.28675458407 | -982.286754584067 |
27 | 9214 | 9008.51843377422 | 205.481566225782 |
28 | 9567 | 9061.13725380792 | 505.862746192081 |
29 | 8547 | 9346.40826437574 | -799.408264375737 |
30 | 9185 | 8818.33108438285 | 366.668915617145 |
31 | 9470 | 8967.77387073749 | 502.22612926251 |
32 | 9123 | 9260.91045679035 | -137.910456790352 |
33 | 9278 | 9191.06568225681 | 86.9343177431874 |
34 | 10170 | 9254.15466292212 | 915.845337077884 |
35 | 9434 | 9891.4268975972 | -457.42689759721 |
36 | 9655 | 9727.1760569936 | -72.176056993596 |
37 | 9429 | 9759.45406975913 | -330.454069759135 |
38 | 8739 | 9606.45393941927 | -867.45393941927 |
39 | 9552 | 9042.74687298558 | 509.253127014419 |
40 | 9687 | 9289.72794432049 | 397.272055679514 |
41 | 9019 | 9532.74590867512 | -513.745908675119 |
42 | 9672 | 9214.32998560078 | 457.670014399218 |
43 | 9206 | 9481.83520568856 | -275.83520568856 |
44 | 9069 | 9316.77161677335 | -247.771616773352 |
45 | 9788 | 9131.76216839209 | 656.237831607912 |
46 | 10312 | 9524.5568749244 | 787.4431250756 |
47 | 10105 | 10099.0051585553 | 5.99484144468806 |
48 | 9863 | 10254.9748803442 | -391.974880344151 |
49 | 9656 | 10142.0162587648 | -486.016258764781 |
50 | 9295 | 9909.93135916443 | -614.931359164435 |
51 | 9946 | 9521.7939988201 | 424.206001179911 |
52 | 9701 | 9751.18939116349 | -50.1893911634852 |
53 | 9049 | 9718.93332034495 | -669.933320344948 |
54 | 10190 | 9259.47522365412 | 930.524776345883 |
55 | 9706 | 9790.28678170389 | -84.2867817038896 |
56 | 9765 | 9764.64208963202 | 0.357910367976729 |
57 | 9893 | 9784.46834279045 | 108.531657209553 |
58 | 9994 | 9877.67386370552 | 116.32613629448 |
59 | 10433 | 9991.49628376847 | 441.503716231528 |
60 | 10073 | 10342.1841088015 | -269.184108801486 |
61 | 10112 | 10273.4866061469 | -161.48660614686 |
62 | 9266 | 10239.7650522699 | -973.765052269875 |
63 | 9820 | 9632.6024821878 | 187.3975178122 |
64 | 10097 | 9674.99550840207 | 422.004491597934 |
65 | 9115 | 9902.89889064689 | -787.898890646886 |
66 | 10411 | 9370.254421664 | 1040.745578336 |
67 | 9678 | 9965.89634427614 | -287.896344276138 |
68 | 10408 | 9807.91485390067 | 600.085146099329 |
69 | 10153 | 10211.2037436049 | -58.2037436048831 |
70 | 10368 | 10253.0315805367 | 114.968419463261 |
71 | 10581 | 10404.0262407872 | 176.973759212757 |
72 | 10597 | 10613.2955757884 | -16.2955757884029 |
73 | 10680 | 10716.5542839099 | -36.554283909898 |
74 | 9738 | 10803.7778268849 | -1065.77782688493 |
75 | 9556 | 10188.1480924889 | -632.148092488867 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
76 | 9715.8953574689 | 8605.84652425025 | 10825.9441906876 |
77 | 9582.85357593316 | 8241.79704723954 | 10923.9101046268 |
78 | 9449.81179439741 | 7829.54402233671 | 11070.0795664581 |
79 | 9316.77001286166 | 7377.20760893963 | 11256.3324167837 |
80 | 9183.72823132591 | 6890.79879581398 | 11476.6576668378 |
81 | 9050.68644979016 | 6374.62111571035 | 11726.75178387 |
82 | 8917.64466825441 | 5831.79115045984 | 12003.498186049 |
83 | 8784.60288671866 | 5264.62945417704 | 12304.5763192603 |
84 | 8651.56110518291 | 4674.91961313183 | 12628.202597234 |
85 | 8518.51932364716 | 4064.07497094808 | 12972.9636763462 |
86 | 8385.47754211141 | 3433.24647346489 | 13337.7086107579 |
87 | 8252.43576057566 | 2783.39374750565 | 13721.4777736457 |