Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0545658791491502 |
beta | 0.25774916210425 |
gamma | 0.484979752162203 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 87.6 | 87.4374732905983 | 0.162526709401661 |
14 | 85.4 | 85.4574707694395 | -0.0574707694395045 |
15 | 86.1 | 86.3438222724077 | -0.243822272407698 |
16 | 86.7 | 86.9249094831851 | -0.224909483185087 |
17 | 89.1 | 89.1038654903233 | -0.00386549032332084 |
18 | 103.7 | 103.728161925143 | -0.0281619251432375 |
19 | 86.9 | 89.263236525602 | -2.36323652560203 |
20 | 85.2 | 87.7751584373825 | -2.57515843738254 |
21 | 80.8 | 82.160132151459 | -1.36013215145903 |
22 | 91.2 | 89.1006088566335 | 2.09939114336653 |
23 | 102.8 | 99.0552173122356 | 3.74478268776444 |
24 | 182.5 | 185.839775787221 | -3.33977578722073 |
25 | 80.9 | 86.181975289146 | -5.28197528914602 |
26 | 83.1 | 83.668516015986 | -0.568516015986035 |
27 | 88.3 | 84.2988489052085 | 4.00115109479145 |
28 | 86.6 | 85.0372535044138 | 1.56274649558621 |
29 | 93 | 87.357263836485 | 5.64273616351507 |
30 | 105.3 | 102.300104302552 | 2.99989569744844 |
31 | 93.8 | 86.993897618399 | 6.80610238160105 |
32 | 86.4 | 86.1021034188466 | 0.297896581153410 |
33 | 87 | 81.434485449809 | 5.56551455019095 |
34 | 96.7 | 90.6700468404298 | 6.0299531595702 |
35 | 100.5 | 101.979782024187 | -1.47978202418733 |
36 | 196.7 | 185.543604488798 | 11.1563955112018 |
37 | 86.8 | 86.3028818725309 | 0.497118127469122 |
38 | 88.2 | 86.8638531606971 | 1.3361468393029 |
39 | 93.8 | 90.3180616041513 | 3.48193839584873 |
40 | 85 | 90.5274626381015 | -5.52746263810151 |
41 | 90.4 | 94.8489890207248 | -4.44898902072482 |
42 | 115.9 | 108.405104118965 | 7.49489588103494 |
43 | 94.9 | 95.5283225539246 | -0.628322553924605 |
44 | 87.7 | 91.5811265114215 | -3.8811265114215 |
45 | 91.7 | 89.376373876203 | 2.323626123797 |
46 | 95.9 | 98.8780047194497 | -2.97800471944967 |
47 | 106.8 | 106.356198492784 | 0.443801507216449 |
48 | 204.5 | 195.949254076707 | 8.55074592329348 |
49 | 90.2 | 91.7726280734287 | -1.57262807342873 |
50 | 90.5 | 92.6699904442213 | -2.16999044422133 |
51 | 93.2 | 96.9320728302648 | -3.73207283026477 |
52 | 97.8 | 92.5307255072453 | 5.26927449275469 |
53 | 99.4 | 98.0015805305656 | 1.3984194694344 |
54 | 120 | 117.501168892219 | 2.49883110778102 |
55 | 108.2 | 100.704814643964 | 7.49518535603633 |
56 | 98.5 | 95.9013434063614 | 2.59865659363864 |
57 | 104.3 | 97.178202817712 | 7.12179718228789 |
58 | 102.9 | 104.86130443706 | -1.96130443705988 |
59 | 111.1 | 114.328767906606 | -3.22876790660592 |
60 | 188.1 | 207.751779632248 | -19.6517796322481 |
61 | 93.8 | 97.3110620246897 | -3.51106202468972 |
62 | 94.5 | 97.7180259149318 | -3.21802591493179 |
63 | 112.4 | 101.081215347127 | 11.3187846528730 |
64 | 102.5 | 101.714611058633 | 0.785388941367344 |
65 | 115.8 | 105.189099981901 | 10.6109000180992 |
66 | 136.5 | 125.848651000864 | 10.6513489991358 |
67 | 122.1 | 112.055434753528 | 10.0445652464716 |
68 | 110.6 | 105.449167474752 | 5.15083252524811 |
69 | 116.4 | 109.278350938839 | 7.12164906116134 |
70 | 112.6 | 113.135819450739 | -0.535819450739439 |
71 | 121.5 | 122.459087510953 | -0.959087510953069 |
72 | 199.3 | 208.866822068269 | -9.56682206826866 |
73 | 102.1 | 106.910116854964 | -4.81011685496409 |
74 | 100.6 | 107.895222227845 | -7.2952222278455 |
75 | 119 | 118.158622725819 | 0.841377274181042 |
76 | 106.8 | 113.700537986824 | -6.90053798682369 |
77 | 121.3 | 121.462661551200 | -0.162661551199690 |
78 | 145.5 | 141.603233506010 | 3.89676649398976 |
79 | 129.7 | 127.118571954011 | 2.58142804598928 |
80 | 117.7 | 117.711596156171 | -0.0115961561713505 |
81 | 121.3 | 121.940513740341 | -0.640513740340609 |
82 | 124.3 | 121.531963481098 | 2.76803651890198 |
83 | 135.2 | 130.55650585504 | 4.64349414495996 |
84 | 210.1 | 213.11703099708 | -3.01703099708001 |
85 | 106.8 | 113.584734859316 | -6.78473485931625 |
86 | 110.5 | 113.180846833161 | -2.68084683316064 |
87 | 111.5 | 127.349912094680 | -15.8499120946802 |
88 | 122.1 | 118.119618813076 | 3.98038118692401 |
89 | 126.3 | 129.406290293180 | -3.10629029318035 |
90 | 143.2 | 151.047548918185 | -7.84754891818466 |
91 | 137.3 | 134.95376252927 | 2.34623747073013 |
92 | 121.5 | 123.976519736902 | -2.47651973690213 |
93 | 121.9 | 127.379410643105 | -5.47941064310531 |
94 | 123.9 | 127.798485263545 | -3.89848526354541 |
95 | 131.6 | 136.754218408707 | -5.15421840870664 |
96 | 220.9 | 214.564875538885 | 6.33512446111544 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
97 | 113.244094803911 | 102.467369407242 | 124.020820200579 |
98 | 114.616305249382 | 103.814229925541 | 125.418380573224 |
99 | 122.455308528548 | 111.616534345608 | 133.294082711489 |
100 | 122.967200226293 | 112.078383074296 | 133.85601737829 |
101 | 130.516148052962 | 119.562029371918 | 141.470266734005 |
102 | 149.925471584574 | 138.888982000064 | 160.961961169083 |
103 | 138.816794562731 | 127.679180679348 | 149.954408446115 |
104 | 125.350098416348 | 114.091071668384 | 136.609125164312 |
105 | 127.395963051111 | 115.993868135220 | 138.798057967002 |
106 | 128.800685877624 | 117.232685024923 | 140.368686730326 |
107 | 137.409977678774 | 125.652245996318 | 149.167709361230 |
108 | 220.859030615277 | 208.886957049244 | 232.831104181309 |