Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.350759329200033 |
beta | 0 |
gamma | 0.714202236422672 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 80 | 63.3541666666667 | 16.6458333333333 |
14 | 42 | 27.5678480006422 | 14.4321519993578 |
15 | 54 | 40.7967266215166 | 13.2032733784834 |
16 | 66 | 53.302897934998 | 12.6971020650019 |
17 | 81 | 71.7981916047691 | 9.20180839523086 |
18 | 63 | 61.1924784115742 | 1.80752158842579 |
19 | 137 | 103.368150138112 | 33.6318498618883 |
20 | 72 | 70.8731685687572 | 1.12683143124282 |
21 | 107 | 77.4767485390348 | 29.5232514609652 |
22 | 58 | 58.2489710839535 | -0.248971083953485 |
23 | 36 | 87.744975486889 | -51.7449754868891 |
24 | 52 | 150.636609262302 | -98.6366092623024 |
25 | 79 | 64.6323904901925 | 14.3676095098075 |
26 | 77 | 27.0205035721521 | 49.9794964278479 |
27 | 54 | 52.1481272098814 | 1.85187279011862 |
28 | 84 | 60.4379827269411 | 23.5620172730589 |
29 | 48 | 81.1235170544008 | -33.1235170544008 |
30 | 96 | 52.2431506148959 | 43.7568493851041 |
31 | 83 | 123.889535798133 | -40.8895357981334 |
32 | 66 | 50.1832589723158 | 15.8167410276842 |
33 | 61 | 75.1065733346721 | -14.1065733346721 |
34 | 53 | 26.7701715613457 | 26.2298284386543 |
35 | 30 | 41.6757239761287 | -11.6757239761287 |
36 | 74 | 96.8788802384768 | -22.8788802384768 |
37 | 69 | 89.8462205932832 | -20.8462205932832 |
38 | 59 | 56.3955994351144 | 2.6044005648856 |
39 | 42 | 42.5897098574903 | -0.589709857490305 |
40 | 65 | 60.0899156870922 | 4.91008431290784 |
41 | 70 | 47.9486439116022 | 22.0513560883978 |
42 | 100 | 74.069969889459 | 25.9300301105410 |
43 | 63 | 100.213822431864 | -37.2138224318639 |
44 | 105 | 54.0909210414992 | 50.9090789585008 |
45 | 82 | 77.4480844419703 | 4.55191555802971 |
46 | 81 | 54.3598731276625 | 26.6401268723375 |
47 | 75 | 51.8329485809399 | 23.1670514190601 |
48 | 102 | 114.062751486308 | -12.0627514863078 |
49 | 121 | 111.766472107652 | 9.23352789234812 |
50 | 98 | 99.7404016861067 | -1.74040168610671 |
51 | 76 | 82.9294578735977 | -6.92945787359767 |
52 | 77 | 100.756132765662 | -23.756132765662 |
53 | 63 | 86.5081394689932 | -23.5081394689932 |
54 | 37 | 98.447546364477 | -61.447546364477 |
55 | 35 | 64.6637801729412 | -29.6637801729412 |
56 | 23 | 62.0507588180824 | -39.0507588180824 |
57 | 40 | 32.3583566785795 | 7.64164332142052 |
58 | 29 | 20.5959598897179 | 8.40404011028209 |
59 | 37 | 10.0621304162760 | 26.937869583724 |
60 | 51 | 57.2789059931065 | -6.2789059931065 |
61 | 20 | 66.886217830153 | -46.886217830153 |
62 | 28 | 30.0871310857474 | -2.08713108574736 |
63 | 13 | 10.7484597054850 | 2.25154029451503 |
64 | 22 | 23.9931089624076 | -1.99310896240757 |
65 | 25 | 17.4936910945581 | 7.50630890544188 |
66 | 13 | 22.7196141774821 | -9.7196141774821 |
67 | 16 | 21.8176899622591 | -5.81768996225912 |
68 | 13 | 23.2162671673847 | -10.2162671673847 |
69 | 16 | 25.2885917259022 | -9.28859172590225 |
70 | 17 | 7.94127215929363 | 9.05872784070637 |
71 | 9 | 6.23101594707102 | 2.76898405292898 |
72 | 17 | 29.5680713779749 | -12.5680713779749 |
73 | 25 | 18.140230318059 | 6.85976968194101 |
74 | 14 | 20.9659000638613 | -6.96590006386126 |
75 | 8 | 1.92774974650005 | 6.07225025349995 |
76 | 7 | 14.5443509061419 | -7.54435090614195 |
77 | 10 | 10.5025600306134 | -0.502560030613406 |
78 | 7 | 4.93182417400826 | 2.06817582599174 |
79 | 10 | 9.97385715319611 | 0.0261428468038893 |
80 | 3 | 11.3826407570439 | -8.38264075704385 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
81 | 14.5282799120459 | -35.3287020636707 | 64.3852618877625 |
82 | 8.94647336236186 | -43.8885704524202 | 61.7815171771439 |
83 | 1.14229796745304 | -54.5116781536917 | 56.7962740885977 |
84 | 16.3964803808856 | -41.9403712763298 | 74.733332038101 |
85 | 18.38548650175 | -42.5161675353856 | 79.2871405388856 |
86 | 12.3942151340628 | -50.9685078790935 | 75.7569381472191 |
87 | 1.8450679459928 | -63.8866433570379 | 67.5767792490235 |
88 | 6.01790061131881 | -62.0003401334107 | 74.0361413560483 |
89 | 7.887563147406 | -62.3428026297348 | 78.1179289245468 |
90 | 3.68512720612633 | -68.6897819846561 | 76.0600363969087 |
91 | 7.05485970586599 | -67.4028509999904 | 81.5125704117224 |
92 | 4.5554118324795 | -71.928402708507 | 81.039226373466 |