Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.118633222491737 |
beta | 0.177842898057947 |
gamma | 0.593783465809374 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 9737 | 9768.09802350427 | -31.0980235042716 |
14 | 9035 | 9094.82069242711 | -59.8206924271108 |
15 | 9133 | 9216.54046372292 | -83.5404637229203 |
16 | 9487 | 9563.68373905259 | -76.6837390525943 |
17 | 8700 | 8755.77257036396 | -55.7725703639553 |
18 | 9627 | 9656.62380040276 | -29.62380040276 |
19 | 8947 | 9350.24380475784 | -403.243804757836 |
20 | 9283 | 9699.78239553172 | -416.782395531722 |
21 | 8829 | 9042.42155295859 | -213.421552958589 |
22 | 9947 | 9575.43327830414 | 371.566721695855 |
23 | 9628 | 9462.01672409347 | 165.983275906532 |
24 | 9318 | 8775.3797376699 | 542.6202623301 |
25 | 9605 | 9309.97278290563 | 295.02721709437 |
26 | 8640 | 8661.11902781689 | -21.1190278168924 |
27 | 9214 | 8776.5991422725 | 437.4008577275 |
28 | 9567 | 9201.70519948741 | 365.294800512585 |
29 | 8547 | 8479.0693673369 | 67.9306326630958 |
30 | 9185 | 9432.78885628248 | -247.788856282479 |
31 | 9470 | 8924.90192533848 | 545.098074661517 |
32 | 9123 | 9419.77362093571 | -296.773620935714 |
33 | 9278 | 8925.52238256396 | 352.477617436036 |
34 | 10170 | 9886.20179988942 | 283.798200110577 |
35 | 9434 | 9707.3158755727 | -273.315875572704 |
36 | 9655 | 9208.93777542992 | 446.06222457008 |
37 | 9429 | 9643.72781956204 | -214.72781956204 |
38 | 8739 | 8799.42061988547 | -60.4206198854663 |
39 | 9552 | 9179.84407265267 | 372.155927347334 |
40 | 9687 | 9587.74086183219 | 99.2591381678085 |
41 | 9019 | 8700.57566008173 | 318.424339918272 |
42 | 9672 | 9546.72216589018 | 125.277834109822 |
43 | 9206 | 9533.85368355076 | -327.853683550757 |
44 | 9069 | 9501.97079455157 | -432.970794551573 |
45 | 9788 | 9345.86084071458 | 442.139159285423 |
46 | 10312 | 10297.645014354 | 14.3549856459813 |
47 | 10105 | 9805.95946624617 | 299.040533753827 |
48 | 9863 | 9774.76348051283 | 88.2365194871691 |
49 | 9656 | 9836.53709924596 | -180.537099245963 |
50 | 9295 | 9093.01482721357 | 201.985172786433 |
51 | 9946 | 9752.46311858959 | 193.536881410406 |
52 | 9701 | 10014.0928950335 | -313.092895033498 |
53 | 9049 | 9201.74857262885 | -152.748572628851 |
54 | 10190 | 9890.01737584565 | 299.982624154345 |
55 | 9706 | 9663.51885782801 | 42.4811421719933 |
56 | 9765 | 9631.15772151834 | 133.842278481663 |
57 | 9893 | 10022.8300650906 | -129.830065090609 |
58 | 9994 | 10693.3737308994 | -699.373730899397 |
59 | 10433 | 10261.4366175685 | 171.563382431515 |
60 | 10073 | 10097.5384434741 | -24.5384434740972 |
61 | 10112 | 9995.63683516032 | 116.363164839684 |
62 | 9266 | 9484.15430846813 | -218.154308468131 |
63 | 9820 | 10077.1025414293 | -257.102541429251 |
64 | 10097 | 9998.38752182827 | 98.6124781717281 |
65 | 9115 | 9305.74224179498 | -190.742241794984 |
66 | 10411 | 10212.5772925249 | 198.422707475118 |
67 | 9678 | 9823.26733998686 | -145.26733998686 |
68 | 10408 | 9796.48292855531 | 611.517071444689 |
69 | 10153 | 10096.9477401606 | 56.0522598394018 |
70 | 10368 | 10485.5143429505 | -117.514342950461 |
71 | 10581 | 10584.7149952168 | -3.71499521678197 |
72 | 10597 | 10300.0096105431 | 296.99038945692 |
73 | 10680 | 10319.3899927215 | 360.610007278467 |
74 | 9738 | 9676.36807640906 | 61.6319235909414 |
75 | 9556 | 10302.5795309439 | -746.579530943922 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
76 | 10362.0840042987 | 9787.76490004346 | 10936.403108554 |
77 | 9514.35574484495 | 8934.45700121101 | 10094.2544884789 |
78 | 10659.5563690104 | 10072.3474741524 | 11246.7652638684 |
79 | 10074.7246791602 | 9478.2925554009 | 10671.1568029195 |
80 | 10472.1798752573 | 9864.45693364145 | 11079.9028168732 |
81 | 10407.4488406122 | 9786.24386841219 | 11028.6538128123 |
82 | 10695.3965809505 | 10058.426994428 | 11332.3661674729 |
83 | 10867.4388523229 | 10212.3627281093 | 11522.5149765366 |
84 | 10739.9686786467 | 10064.4150647051 | 11415.5222925883 |
85 | 10750.5679901782 | 10052.1642607478 | 11448.9717196086 |
86 | 9893.84717468497 | 9170.24256913318 | 10617.4517802368 |
87 | 10074.0254369331 | 9322.91033408063 | 10825.1405397856 |