Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0122813786912377 |
beta | 1 |
gamma | 0.307319000739082 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 11214.14286 | 11317.8707366739 | -103.727876673851 |
14 | 13950.23077 | 13936.3930139257 | 13.8377560742665 |
15 | 11179.13333 | 11156.0907405461 | 23.0425894539458 |
16 | 11801.875 | 11968.9629018635 | -167.087901863466 |
17 | 11188.82353 | 11369.3560351760 | -180.532505175972 |
18 | 16456.27273 | 16980.4703000559 | -524.197570055858 |
19 | 11110.0625 | 13168.7856608462 | -2058.72316084616 |
20 | 16530.69231 | 11691.6722248175 | 4839.02008518248 |
21 | 10038.41176 | 14659.1242517512 | -4620.71249175119 |
22 | 11681.25 | 12142.2725291783 | -461.022529178315 |
23 | 11148.88235 | 11832.7142237104 | -683.831873710384 |
24 | 8631 | 13100.0922870866 | -4469.09228708658 |
25 | 9386.444444 | 10442.0305732304 | -1055.5861292304 |
26 | 9764.736842 | 12771.7203402321 | -3006.98349823212 |
27 | 12043.75 | 10077.4131873612 | 1966.33681263881 |
28 | 12948.06667 | 10681.0953869251 | 2266.97128307485 |
29 | 10987.125 | 10097.4583126012 | 889.666687398842 |
30 | 11648.3125 | 14944.1062254668 | -3295.79372546682 |
31 | 10633.35294 | 11025.2312092342 | -391.878269234188 |
32 | 10219.3 | 11498.7853851808 | -1279.48538518083 |
33 | 9037.6 | 11354.2387879176 | -2316.6387879176 |
34 | 10296.31579 | 10169.619844963 | 126.695945036998 |
35 | 11705.41176 | 9735.9377172832 | 1969.4740427168 |
36 | 10681.94444 | 9770.63335280387 | 911.311087196129 |
37 | 9362.947368 | 8435.79129498913 | 927.156073010865 |
38 | 11306.35294 | 9892.65616766243 | 1413.69677233757 |
39 | 10984.45 | 8975.67548809964 | 2008.77451190036 |
40 | 10062.61905 | 9598.36072023008 | 464.258329769917 |
41 | 8118.583333 | 8751.10972783345 | -632.526394833453 |
42 | 8867.48 | 11741.3831926416 | -2873.90319264157 |
43 | 8346.72 | 9177.31323726594 | -830.59323726594 |
44 | 8529.307692 | 9330.20333134276 | -800.895639342758 |
45 | 10697.18182 | 8937.03659889367 | 1760.14522110633 |
46 | 8591.84 | 8643.8730759575 | -52.0330759574972 |
47 | 8695.607143 | 8781.57830909206 | -85.9711660920602 |
48 | 8125.571429 | 8528.63927066995 | -403.067841669952 |
49 | 7009.758621 | 7384.15879524876 | -374.400174248764 |
50 | 7883.466667 | 8704.91215291219 | -821.445485912192 |
51 | 7527.645161 | 8015.4737319519 | -487.828570951894 |
52 | 6763.758621 | 8042.31200932614 | -1278.55338832614 |
53 | 6682.333333 | 6964.31746764857 | -281.984134648573 |
54 | 7855.681818 | 8738.03916057733 | -882.357342577327 |
55 | 6738.88 | 7111.96439923036 | -373.084399230363 |
56 | 7895.434783 | 7166.41343459764 | 729.021348402359 |
57 | 6361.884615 | 7419.61285898916 | -1057.72824398916 |
58 | 6935.956522 | 6640.7472986639 | 295.209223336094 |
59 | 8344.454545 | 6652.04511734723 | 1692.40942765277 |
60 | 9107.944444 | 6338.76752977868 | 2769.17691422132 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 5487.30425388594 | 4394.04792426595 | 6580.56058350593 |
62 | 6356.38614700257 | 5258.50582137402 | 7454.26647263112 |
63 | 5900.20191241537 | 4794.64505720045 | 7005.75876763029 |
64 | 5727.33411657789 | 4608.05582034988 | 6846.61241280591 |
65 | 5152.36354068328 | 4019.04907990065 | 6285.6780014659 |
66 | 6343.91084194806 | 5147.9386692853 | 7539.88301461081 |
67 | 5252.30501390955 | 4046.7609614443 | 6457.8490663748 |
68 | 5555.67828777825 | 4276.90252668637 | 6834.45404887014 |
69 | 5332.44736907051 | 3995.47527608233 | 6669.41946205868 |
70 | 5075.58343609087 | 3677.55515513498 | 6473.61171704676 |
71 | 5408.51857865374 | 3864.33652985064 | 6952.70062745684 |
72 | 5391.11312417866 | 4128.19368486639 | 6654.03256349093 |