Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.118633222491654 |
beta | 0.177842898060244 |
gamma | 0.593783465803279 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 9737 | 9768.09802350428 | -31.0980235042789 |
14 | 9035 | 9094.82069242711 | -59.820692427109 |
15 | 9133 | 9216.5404637229 | -83.5404637228985 |
16 | 9487 | 9563.68373905254 | -76.6837390525397 |
17 | 8700 | 8755.77257036385 | -55.772570363848 |
18 | 9627 | 9656.62380040259 | -29.6238004025945 |
19 | 8947 | 9350.24380475761 | -403.243804757614 |
20 | 9283 | 9699.78239553138 | -416.78239553138 |
21 | 8829 | 9042.42155295804 | -213.421552958043 |
22 | 9947 | 9575.43327830336 | 371.566721696643 |
23 | 9628 | 9462.01672409253 | 165.983275907465 |
24 | 9318 | 8775.37973766891 | 542.620262331086 |
25 | 9605 | 9309.97278290489 | 295.027217095108 |
26 | 8640 | 8661.11902781648 | -21.1190278164759 |
27 | 9214 | 8776.59914227238 | 437.400857727622 |
28 | 9567 | 9201.70519948747 | 365.294800512525 |
29 | 8547 | 8479.06936733716 | 67.9306326628412 |
30 | 9185 | 9432.78885628291 | -247.788856282914 |
31 | 9470 | 8924.90192534116 | 545.098074658838 |
32 | 9123 | 9419.7736209385 | -296.773620938502 |
33 | 9278 | 8925.52238256567 | 352.477617434326 |
34 | 10170 | 9886.20179988817 | 283.798200111829 |
35 | 9434 | 9707.31587557311 | -273.315875573109 |
36 | 9655 | 9208.9377754286 | 446.062224571398 |
37 | 9429 | 9643.72781956261 | -214.727819562615 |
38 | 8739 | 8799.42061988801 | -60.4206198880147 |
39 | 9552 | 9179.84407265274 | 372.155927347258 |
40 | 9687 | 9587.74086183288 | 99.2591381671227 |
41 | 9019 | 8700.57566008411 | 318.42433991589 |
42 | 9672 | 9546.72216589415 | 125.277834105849 |
43 | 9206 | 9533.85368355124 | -327.85368355124 |
44 | 9069 | 9501.97079455686 | -432.970794556861 |
45 | 9788 | 9345.86084071546 | 442.139159284539 |
46 | 10312 | 10297.6450143538 | 14.354985646165 |
47 | 10105 | 9805.95946624944 | 299.040533750564 |
48 | 9863 | 9774.76348051094 | 88.2365194890554 |
49 | 9656 | 9836.5370992484 | -180.537099248399 |
50 | 9295 | 9093.01482721567 | 201.985172784327 |
51 | 9946 | 9752.4631185881 | 193.536881411899 |
52 | 9701 | 10014.0928950338 | -313.092895033786 |
53 | 9049 | 9201.7485726286 | -152.748572628605 |
54 | 10190 | 9890.01737584722 | 299.982624152781 |
55 | 9706 | 9663.51885783036 | 42.4811421696395 |
56 | 9765 | 9631.15772152312 | 133.842278476883 |
57 | 9893 | 10022.8300650886 | -129.830065088627 |
58 | 9994 | 10693.3737308995 | -699.373730899468 |
59 | 10433 | 10261.4366175684 | 171.563382431581 |
60 | 10073 | 10097.5384434728 | -24.5384434728476 |
61 | 10112 | 9995.63683516219 | 116.363164837807 |
62 | 9266 | 9484.15430846765 | -218.154308467645 |
63 | 9820 | 10077.1025414272 | -257.102541427173 |
64 | 10097 | 9998.38752182948 | 98.6124781705221 |
65 | 9115 | 9305.74224179466 | -190.742241794662 |
66 | 10411 | 10212.5772925227 | 198.422707477264 |
67 | 9678 | 9823.26733998667 | -145.267339986673 |
68 | 10408 | 9796.48292855588 | 611.517071444121 |
69 | 10153 | 10096.9477401598 | 56.0522598402149 |
70 | 10368 | 10485.5143429535 | -117.514342953506 |
71 | 10581 | 10584.7149952148 | -3.71499521481746 |
72 | 10597 | 10300.0096105419 | 296.99038945808 |
73 | 10680 | 10319.3899927212 | 360.610007278758 |
74 | 9738 | 9676.36807640993 | 61.6319235900664 |
75 | 9556 | 10302.5795309444 | -746.579530944382 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
76 | 10362.0840042987 | 9787.76490004338 | 10936.4031085541 |
77 | 9514.35574484607 | 8934.45700121202 | 10094.2544884801 |
78 | 10659.5563690087 | 10072.3474741505 | 11246.7652638668 |
79 | 10074.7246791611 | 9478.29255540159 | 10671.1568029206 |
80 | 10472.1798752547 | 9864.45693363846 | 11079.9028168708 |
81 | 10407.448840612 | 9786.24386841144 | 11028.6538128125 |
82 | 10695.3965809528 | 10058.4269944297 | 11332.3661674758 |
83 | 10867.4388523227 | 10212.3627281082 | 11522.5149765371 |
84 | 10739.968678645 | 10064.4150647022 | 11415.5222925877 |
85 | 10750.5679901763 | 10052.1642607445 | 11448.9717196081 |
86 | 9893.84717468503 | 9170.2425691315 | 10617.4517802386 |
87 | 10074.0254369372 | 9322.91033408258 | 10825.1405397918 |