Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.176362058368753 |
gamma | 0.479537072882266 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 8854.34 | 7758.3541611546 | 1095.98583884539 |
14 | 9218.1 | 9392.10719616172 | -174.007196161721 |
15 | 9332.9 | 9477.31508899954 | -144.415088999538 |
16 | 9358.31 | 9496.38394000953 | -138.073940009532 |
17 | 9248.66 | 9374.8502648369 | -126.190264836894 |
18 | 9401.2 | 9505.65425610844 | -104.454256108442 |
19 | 9652.04 | 9399.20384066522 | 252.836159334785 |
20 | 9957.38 | 9893.5957769089 | 63.7842230911028 |
21 | 10110.63 | 10556.0337836706 | -445.403783670636 |
22 | 10169.26 | 10533.1392441504 | -363.879244150394 |
23 | 10343.78 | 10490.1606506331 | -146.380650633082 |
24 | 10750.21 | 10636.6790413784 | 113.530958621624 |
25 | 11337.5 | 10906.8953002396 | 430.604699760373 |
26 | 11786.96 | 11772.8960219015 | 14.0639780984493 |
27 | 12083.04 | 11909.8761193753 | 173.163880624727 |
28 | 12007.74 | 12146.5864978091 | -138.846497809071 |
29 | 11745.93 | 11895.4333983305 | -149.503398330531 |
30 | 11051.51 | 11944.6936977710 | -893.183697771025 |
31 | 11445.9 | 10817.4201879184 | 628.479812081601 |
32 | 11924.88 | 11556.8932393684 | 367.986760631593 |
33 | 12247.63 | 12510.6936107980 | -263.063610797968 |
34 | 12690.91 | 12671.2144707954 | 19.6955292045677 |
35 | 12910.7 | 13077.9663608808 | -167.266360880754 |
36 | 13202.12 | 13265.4076767090 | -63.2876767089838 |
37 | 13654.67 | 13350.9388804778 | 303.731119522243 |
38 | 13862.82 | 14100.2577307416 | -237.437730741571 |
39 | 13523.93 | 13892.0469578098 | -368.116957809822 |
40 | 14211.17 | 13398.1988744156 | 812.97112558436 |
41 | 14510.35 | 14037.415506651 | 472.934493349001 |
42 | 14289.23 | 14818.4073565848 | -529.177356584833 |
43 | 14111.82 | 14142.8103012448 | -30.9903012448431 |
44 | 13086.59 | 14266.0795960327 | -1179.48959603274 |
45 | 13351.54 | 13483.1778420786 | -131.637842078622 |
46 | 13747.69 | 13592.0466794586 | 155.643320541370 |
47 | 12855.61 | 13967.8734777699 | -1112.26347776991 |
48 | 12926.93 | 12855.6713560749 | 71.2586439250663 |
49 | 12121.95 | 12746.2478767205 | -624.297876720511 |
50 | 11731.65 | 12040.6082042189 | -308.958204218876 |
51 | 11639.51 | 11274.7136004484 | 364.796399551631 |
52 | 12163.78 | 11173.6319913155 | 990.148008684493 |
53 | 12029.53 | 11718.8152167479 | 310.714783252055 |
54 | 11234.18 | 11981.3512041393 | -747.171204139322 |
55 | 9852.13 | 10780.2956805676 | -928.165680567628 |
56 | 9709.04 | 9483.63219436466 | 225.407805635339 |
57 | 9332.75 | 9702.91720775136 | -370.167207751361 |
58 | 7108.6 | 9145.57380846076 | -2036.97380846076 |
59 | 6691.49 | 6481.45123315786 | 210.038766842144 |
60 | 6143.05 | 6081.19010417265 | 61.8598958273524 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 5444.31184533735 | 4353.1866697828 | 6535.4370208919 |
62 | 4830.62276020013 | 3129.75589656294 | 6531.48962383733 |
63 | 4083.22994098617 | 1845.61866296288 | 6320.84121900947 |
64 | 3328.18624262841 | 578.840434563896 | 6077.53205069293 |
65 | 2566.16528062199 | -656.707915518706 | 5789.03847676269 |
66 | 1899.64364108859 | -1887.90680682754 | 5687.19408900472 |
67 | 1204.22777904199 | -3062.42747681425 | 5470.88303489822 |
68 | 556.003241732614 | -4285.92195371408 | 5397.92843717931 |
69 | -88.9399258571853 | -5699.24521123826 | 5521.36535952389 |
70 | -764.110964473387 | -7134.18620329472 | 5605.96427434794 |
71 | -1458.65852935581 | -8603.5564670228 | 5686.23940831118 |
72 | -2171.96421143836 | -10049.6016070779 | 5705.6731842012 |