Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.174213016968126 |
beta | 0.071262125638547 |
gamma | 0.820829629452682 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 15998.1 | 16019.0046906877 | -20.9046906877138 |
14 | 15370.6 | 15381.7795139018 | -11.1795139018432 |
15 | 14956.9 | 14986.4485311220 | -29.5485311219745 |
16 | 15469.7 | 15454.8801920301 | 14.8198079698795 |
17 | 15101.8 | 15054.6616042820 | 47.1383957180406 |
18 | 11703.7 | 11666.8127328053 | 36.8872671946519 |
19 | 16283.6 | 15835.0451371595 | 448.554862840509 |
20 | 16726.5 | 17109.3856576046 | -382.885657604569 |
21 | 14968.9 | 15186.9490245128 | -218.049024512839 |
22 | 14861 | 13743.8744889277 | 1117.12551107228 |
23 | 14583.3 | 15073.5723660567 | -490.272366056741 |
24 | 15305.8 | 14971.7315619558 | 334.068438044204 |
25 | 17903.9 | 16329.6695214283 | 1574.23047857171 |
26 | 16379.4 | 15984.5847732169 | 394.815226783079 |
27 | 15420.3 | 15664.8373794033 | -244.537379403268 |
28 | 17870.5 | 16181.8629013158 | 1688.63709868421 |
29 | 15912.8 | 16123.2749764559 | -210.474976455887 |
30 | 13866.5 | 12498.4973933048 | 1368.00260669516 |
31 | 17823.2 | 17645.9248718308 | 177.275128169211 |
32 | 17872 | 18439.6057917032 | -567.605791703198 |
33 | 17422 | 16499.272029197 | 922.727970803007 |
34 | 16704.5 | 16169.2672153693 | 535.232784630674 |
35 | 15991.2 | 16377.7493962974 | -386.549396297412 |
36 | 16583.6 | 16984.088031371 | -400.488031370984 |
37 | 19123.5 | 19337.7247223212 | -214.224722321214 |
38 | 17838.7 | 17790.8187262451 | 47.8812737548942 |
39 | 17209.4 | 16936.8887144717 | 272.511285528333 |
40 | 18586.5 | 19062.4184921581 | -475.918492158104 |
41 | 16258.1 | 17227.6074888604 | -969.50748886043 |
42 | 15141.6 | 14351.0528873066 | 790.547112693432 |
43 | 19202.1 | 18833.0722295353 | 369.027770464727 |
44 | 17746.5 | 19166.0280206825 | -1419.52802068245 |
45 | 19090.1 | 18024.5912323028 | 1065.50876769723 |
46 | 18040.3 | 17403.617036241 | 636.682963759016 |
47 | 17515.5 | 16966.9836008095 | 548.516399190496 |
48 | 17751.8 | 17768.9934852483 | -17.1934852483391 |
49 | 21072.4 | 20494.3883128606 | 578.011687139438 |
50 | 17170 | 19178.077194932 | -2008.07719493199 |
51 | 19439.5 | 18069.5293065612 | 1369.97069343875 |
52 | 19795.4 | 19986.0304630315 | -190.630463031473 |
53 | 17574.9 | 17721.4772259718 | -146.577225971789 |
54 | 16165.4 | 16071.5973180745 | 93.8026819255138 |
55 | 19464.6 | 20440.5032438393 | -975.903243839315 |
56 | 19932.1 | 19250.3052946916 | 681.794705308432 |
57 | 19961.2 | 20231.1940490922 | -269.994049092227 |
58 | 17343.4 | 19011.8849180024 | -1668.48491800241 |
59 | 18924.2 | 18059.6935282454 | 864.50647175462 |
60 | 18574.1 | 18524.9254579748 | 49.174542025241 |
61 | 21350.6 | 21775.1998836831 | -424.599883683055 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 18365.7770606726 | 17083.2890348883 | 19648.2650864569 |
63 | 19953.2518489561 | 18635.2211578152 | 21271.2825400971 |
64 | 20568.4366645827 | 19212.3926978402 | 21924.4806313251 |
65 | 18261.7217721645 | 16891.1596437904 | 19632.2839005387 |
66 | 16726.2933537078 | 15337.0987141783 | 18115.4879932373 |
67 | 20453.0622219953 | 18957.2546012740 | 21948.8698427166 |
68 | 20545.4417384779 | 18999.7614822297 | 22091.1219947261 |
69 | 20748.6995950576 | 19146.8365305768 | 22350.5626595384 |
70 | 18515.2402124425 | 16928.6762803804 | 20101.8041445047 |
71 | 19624.7043224995 | 17947.9596411013 | 21301.4490038978 |
72 | 19368.9287712446 | 17645.9693862652 | 21091.888156224 |
73 | 22405.6473817675 | 20975.8504742229 | 23835.4442893122 |