Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.277254341489538 |
beta | 0.097258390234304 |
gamma | 0.452433755682275 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 5592 | 5238.68248791591 | 353.31751208409 |
14 | 4163 | 3935.51659519542 | 227.483404804584 |
15 | 4962 | 4760.32445506898 | 201.675544931019 |
16 | 5208 | 5082.53187493351 | 125.468125066493 |
17 | 4755 | 4723.33769533325 | 31.6623046667464 |
18 | 4491 | 4563.81926664071 | -72.8192666407149 |
19 | 5732 | 5034.31493456657 | 697.685065433434 |
20 | 5731 | 5114.2942342393 | 616.705765760701 |
21 | 5040 | 5699.13295441262 | -659.132954412617 |
22 | 6102 | 6490.97195685918 | -388.97195685918 |
23 | 4904 | 6068.89264576003 | -1164.89264576003 |
24 | 5369 | 6756.14632973248 | -1387.14632973248 |
25 | 5578 | 6266.3255281321 | -688.3255281321 |
26 | 4619 | 4415.46618587403 | 203.533814125966 |
27 | 4731 | 5237.68846193254 | -506.688461932541 |
28 | 5011 | 5271.06423036057 | -260.064230360566 |
29 | 5299 | 4694.2415269454 | 604.758473054599 |
30 | 4146 | 4595.25595490521 | -449.255954905211 |
31 | 4625 | 5121.12484018266 | -496.124840182661 |
32 | 4736 | 4753.97026089655 | -17.9702608965536 |
33 | 4219 | 4636.08973084054 | -417.089730840545 |
34 | 5116 | 5308.43775572016 | -192.437755720164 |
35 | 4205 | 4660.57688175995 | -455.576881759947 |
36 | 4121 | 5202.5094190291 | -1081.50941902910 |
37 | 5103 | 4897.60912864472 | 205.390871355279 |
38 | 4300 | 3732.88160090191 | 567.118399098094 |
39 | 4578 | 4286.02217213461 | 291.977827865392 |
40 | 3809 | 4550.7109470601 | -741.710947060098 |
41 | 5526 | 4099.02790827187 | 1426.97209172813 |
42 | 4247 | 3922.99543678625 | 324.004563213745 |
43 | 3830 | 4590.97799967912 | -760.977999679119 |
44 | 4394 | 4298.01757331991 | 95.9824266800888 |
45 | 4826 | 4087.762805934 | 738.237194066002 |
46 | 4409 | 5158.0265806207 | -749.0265806207 |
47 | 4569 | 4303.69111136198 | 265.308888638021 |
48 | 4106 | 4847.15931538226 | -741.159315382262 |
49 | 4794 | 5106.19081958986 | -312.190819589859 |
50 | 3914 | 3929.44190868129 | -15.4419086812909 |
51 | 3793 | 4220.95165934588 | -427.951659345876 |
52 | 4405 | 3932.87097618722 | 472.129023812784 |
53 | 4022 | 4499.90741280991 | -477.907412809911 |
54 | 4100 | 3513.95765222796 | 586.042347772044 |
55 | 4788 | 3841.21203685334 | 946.787963146664 |
56 | 3163 | 4322.05319388231 | -1159.05319388231 |
57 | 3585 | 3952.21458139702 | -367.214581397021 |
58 | 3903 | 4118.40463904438 | -215.404639044376 |
59 | 4178 | 3753.28354416713 | 424.716455832868 |
60 | 3863 | 3955.73717859487 | -92.7371785948667 |
61 | 4187 | 4453.2216652102 | -266.221665210201 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 3482.54353582633 | 2780.16749069576 | 4184.9195809569 |
63 | 3609.23629718211 | 2815.16058797161 | 4403.31200639261 |
64 | 3716.55664392634 | 2819.30773568077 | 4613.80555217191 |
65 | 3807.59079318825 | 2797.20921579116 | 4817.97237058534 |
66 | 3339.80668718432 | 2302.33546993931 | 4377.27790442934 |
67 | 3546.50581583174 | 2355.94078585877 | 4737.0708458047 |
68 | 3105.40420211295 | 1910.49379467755 | 4300.31460954835 |
69 | 3267.47060099993 | 1907.43175087806 | 4627.5094511218 |
70 | 3537.37208247747 | 1955.54069517085 | 5119.2034697841 |
71 | 3446.49895045390 | 1762.84219546465 | 5130.15570544316 |
72 | 3360.57234025523 | 1573.34092155564 | 5147.80375895481 |
73 | 3748.96359391127 | 1739.60299337568 | 5758.32419444687 |