Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.548494920609622 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 16704.4 | 15975.8158653846 | 728.584134615385 |
14 | 15991.2 | 15712.6032081456 | 278.596791854447 |
15 | 16583.6 | 16484.8789457302 | 98.721054269834 |
16 | 19123.5 | 19062.9270882420 | 60.5729117579613 |
17 | 17838.7 | 17853.7095016888 | -15.0095016887972 |
18 | 17209.4 | 17246.4186786059 | -37.0186786059203 |
19 | 18586.5 | 19023.4684337772 | -436.968433777198 |
20 | 16258.1 | 16785.2061130713 | -527.106113071311 |
21 | 15141.6 | 14432.4703997837 | 709.129600216274 |
22 | 19202.1 | 18768.6495292439 | 433.45047075607 |
23 | 17746.5 | 19038.1575564771 | -1291.65755647713 |
24 | 19090.1 | 17837.3234266034 | 1252.77657339663 |
25 | 18040.3 | 17798.6693261245 | 241.630673875545 |
26 | 17515.5 | 17268.3651690963 | 247.134830903684 |
27 | 17751.8 | 18023.384180907 | -271.584180907012 |
28 | 21072.4 | 20398.3217828492 | 674.078217150771 |
29 | 17170 | 19525.608740071 | -2355.608740071 |
30 | 19439.5 | 17634.5111235527 | 1804.98887644726 |
31 | 19795.4 | 20421.8926663952 | -626.492666395232 |
32 | 17574.9 | 18079.6772667659 | -504.777266765916 |
33 | 16165.4 | 15739.1888122599 | 426.211187740086 |
34 | 19464.6 | 19920.18862953 | -455.588629529993 |
35 | 19932.1 | 19702.0632260329 | 230.036773967062 |
36 | 19961.2 | 19335.8707071283 | 625.329292871727 |
37 | 17343.4 | 18953.0649603311 | -1609.66496033113 |
38 | 18924.2 | 17407.3345513939 | 1516.86544860614 |
39 | 18574.1 | 18858.7943575569 | -284.694357556877 |
40 | 21350.6 | 21226.5410941984 | 124.058905801645 |
41 | 18594.6 | 20052.1452529079 | -1457.54525290793 |
42 | 19823.1 | 18653.6308974836 | 1169.46910251642 |
43 | 20844.4 | 21092.4330723780 | -248.033072378032 |
44 | 19640.2 | 18957.8008377231 | 682.39916227687 |
45 | 17735.4 | 17268.4726244146 | 466.927375585434 |
46 | 19813.6 | 21471.8050639044 | -1658.20506390440 |
47 | 22160 | 20594.0506547113 | 1565.94934528867 |
48 | 20664.3 | 20960.5993955551 | -296.299395555103 |
49 | 17877.4 | 20072.2849944677 | -2194.88499446773 |
50 | 20906.5 | 18205.5643693675 | 2700.93563063245 |
51 | 21164.1 | 20306.4806560173 | 857.619343982693 |
52 | 21374.4 | 23300.780655696 | -1926.38065569601 |
53 | 22952.3 | 21001.7291299071 | 1950.5708700929 |
54 | 21343.5 | 21472.5491567965 | -129.049156796456 |
55 | 23899.3 | 23199.1206621390 | 700.179337861049 |
56 | 22392.9 | 21584.5781181592 | 808.32188184081 |
57 | 18274.1 | 19964.3178769208 | -1690.2178769208 |
58 | 22786.7 | 22984.4671023938 | -197.767102393806 |
59 | 22321.5 | 22907.7554969548 | -586.255496954767 |
60 | 17842.2 | 22093.8308137166 | -4251.63081371658 |
61 | 16373.5 | 19036.03722044 | -2662.53722043999 |
62 | 16087.1 | 16912.8117247822 | -825.711724782237 |
63 | 16555.9 | 17079.3798502057 | -523.47985020568 |
64 | 17880.2 | 19316.1539570140 | -1435.95395701402 |
65 | 16764.5 | 17286.0989843835 | -521.59898438353 |
66 | 16049 | 16400.9464032083 | -351.946403208338 |
67 | 18288.3 | 18005.2599010760 | 283.040098923953 |
68 | 17570.4 | 16161.9186033523 | 1408.48139664768 |
69 | 15133.4 | 14870.8428075410 | 262.557192458968 |
70 | 19334.2 | 18962.0792396619 | 372.120760338057 |
71 | 19291.8 | 19197.9482322484 | 93.8517677515956 |
72 | 20176.7 | 18757.0589291714 | 1419.64107082863 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 18809.929157964 | 16420.8605138487 | 21198.9978020793 |
74 | 18147.0918036516 | 15422.2475470677 | 20871.9360602356 |
75 | 18766.5586160059 | 15743.0005366925 | 21790.1166953194 |
76 | 21290.4587616936 | 17995.1544213746 | 24585.7631020126 |
77 | 20048.0172407146 | 16501.7293319755 | 23594.3051494536 |
78 | 19448.9590530689 | 15668.3129220468 | 23229.6051840909 |
79 | 21246.3133654232 | 17245.0120265641 | 25247.6147042823 |
80 | 19247.7260111108 | 15037.3175225318 | 23458.1344996899 |
81 | 17184.1053234652 | 12774.4945836104 | 21593.7160633199 |
82 | 21131.3304691528 | 16531.1354609618 | 25731.5254773438 |
83 | 21163.0931148404 | 16379.9015705126 | 25946.2846591682 |
84 | 20670.7265938614 | 15711.2862437743 | 25630.1669439486 |