Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.461822201228865 |
beta | 0.0370500609885143 |
gamma | 0.86645948143892 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 99.8 | 92.998084926643 | 6.80191507335697 |
14 | 96 | 92.229967963995 | 3.77003203600505 |
15 | 115.9 | 113.809266248514 | 2.09073375148630 |
16 | 109.1 | 108.636518125516 | 0.46348187448443 |
17 | 117.3 | 117.624969281130 | -0.324969281130365 |
18 | 109.8 | 111.2670794324 | -1.46707943240001 |
19 | 112.8 | 106.533552097769 | 6.26644790223148 |
20 | 110.7 | 107.134609916413 | 3.56539008358713 |
21 | 100 | 112.948784398470 | -12.9487843984698 |
22 | 113.3 | 112.641097030181 | 0.658902969818968 |
23 | 122.4 | 130.817513237740 | -8.41751323773954 |
24 | 112.5 | 127.960805437920 | -15.4608054379197 |
25 | 104.2 | 106.483992710884 | -2.28399271088448 |
26 | 92.5 | 99.3359375733496 | -6.83593757334964 |
27 | 117.2 | 114.696231671484 | 2.50376832851623 |
28 | 109.3 | 108.385609539991 | 0.914390460008633 |
29 | 106.1 | 116.608663453095 | -10.5086634530947 |
30 | 118.8 | 104.686527039703 | 14.1134729602971 |
31 | 105.3 | 110.218566781973 | -4.91856678197304 |
32 | 106 | 103.961169838870 | 2.03883016113022 |
33 | 102 | 100.695653786049 | 1.30434621395054 |
34 | 112.9 | 112.946094328629 | -0.0460943286294935 |
35 | 116.5 | 125.944662047986 | -9.44466204798623 |
36 | 114.8 | 118.477738958324 | -3.67773895832434 |
37 | 100.5 | 108.059179232688 | -7.55917923268757 |
38 | 85.4 | 95.907751752781 | -10.5077517527811 |
39 | 114.6 | 112.977419077033 | 1.62258092296726 |
40 | 109.9 | 105.314182076481 | 4.58581792351919 |
41 | 100.7 | 109.270395269952 | -8.57039526995169 |
42 | 115.5 | 108.905169952549 | 6.5948300474506 |
43 | 100.7 | 102.096080523330 | -1.39608052333041 |
44 | 99 | 100.346625170941 | -1.34662517094054 |
45 | 102.3 | 95.0304539301931 | 7.26954606980685 |
46 | 108.8 | 108.673330620483 | 0.126669379517253 |
47 | 105.9 | 116.527437348416 | -10.6274373484158 |
48 | 113.2 | 110.809731038577 | 2.39026896142300 |
49 | 95.7 | 101.283044609479 | -5.58304460947906 |
50 | 80.9 | 88.4225705544356 | -7.52257055443562 |
51 | 113.9 | 111.887289391268 | 2.01271060873175 |
52 | 98.1 | 105.620839082788 | -7.5208390827876 |
53 | 102.8 | 97.6122601000413 | 5.18773989995869 |
54 | 104.7 | 110.246555160514 | -5.54655516051434 |
55 | 95.9 | 94.6230649890839 | 1.27693501091612 |
56 | 94.6 | 93.8887683122773 | 0.711231687722716 |
57 | 101.6 | 93.2001560864915 | 8.39984391350846 |
58 | 103.9 | 103.453687685606 | 0.446312314393722 |
59 | 110.3 | 105.843734949953 | 4.45626505004702 |
60 | 114.1 | 113.173783403346 | 0.926216596653745 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 99.0581327150875 | 87.7211444014213 | 110.395121028754 |
62 | 87.4087193818926 | 74.9582578401013 | 99.859180923684 |
63 | 121.295764595340 | 105.534434680454 | 137.057094510225 |
64 | 108.911314660016 | 92.8206127123768 | 125.002016607656 |
65 | 110.673822872648 | 93.1569965419248 | 128.190649203372 |
66 | 116.464629762852 | 97.0755663407604 | 135.853693184943 |
67 | 105.785363843426 | 86.468428298939 | 125.102299387912 |
68 | 104.275948059050 | 83.9426197141613 | 124.609276403938 |
69 | 107.173087948143 | 85.1942741553576 | 129.151901740929 |
70 | 110.084822935379 | 86.4198322354816 | 133.749813635277 |
71 | 114.417866956333 | 88.7705966990604 | 140.065137213606 |
72 | 118.191018111397 | 74.2164417364099 | 162.165594486384 |