Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.887063362952135 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 161.4 | 162.988408119658 | -1.58840811965817 |
14 | 159.55 | 159.670954156608 | -0.120954156608377 |
15 | 158.93 | 158.641474840999 | 0.288525159000983 |
16 | 158.59 | 158.26939629082 | 0.320603709179949 |
17 | 158.29 | 158.012023447242 | 0.277976552758474 |
18 | 158.03 | 157.771004281601 | 0.258995718398666 |
19 | 158.03 | 160.398564579869 | -2.36856457986894 |
20 | 163.94 | 158.423645736929 | 5.51635426307092 |
21 | 164.36 | 163.979816186079 | 0.380183813921235 |
22 | 164.39 | 164.781961337244 | -0.391961337243742 |
23 | 163.22 | 164.239998147262 | -1.01999814726244 |
24 | 163.22 | 163.021759845862 | 0.198240154138404 |
25 | 163.56 | 163.206036637685 | 0.353963362315312 |
26 | 162.82 | 161.777318569146 | 1.04268143085397 |
27 | 162.8 | 161.826302967847 | 0.973697032152614 |
28 | 162.44 | 162.065638127245 | 0.374361872754861 |
29 | 161.98 | 161.851138013340 | 0.128861986659700 |
30 | 161.53 | 161.475701147630 | 0.0542988523695271 |
31 | 161.53 | 163.624934531806 | -2.09493453180568 |
32 | 161.52 | 162.783239097023 | -1.26323909702256 |
33 | 162.07 | 161.745418842888 | 0.324581157111794 |
34 | 161.84 | 162.411037437629 | -0.571037437629315 |
35 | 161.54 | 161.63929403455 | -0.0992940345498994 |
36 | 161.47 | 161.375362356539 | 0.094637643461141 |
37 | 161.47 | 161.485324012272 | -0.0153240122720888 |
38 | 161.54 | 159.806806145871 | 1.73319385412901 |
39 | 161.57 | 160.460527950925 | 1.10947204907515 |
40 | 160.75 | 160.752617256072 | -0.00261725607185781 |
41 | 160.31 | 160.175986836856 | 0.134013163144033 |
42 | 160.57 | 159.796698481447 | 0.773301518552955 |
43 | 160.57 | 162.341005598019 | -1.77100559801872 |
44 | 159.65 | 161.880584538051 | -2.23058453805066 |
45 | 158.76 | 160.1639906636 | -1.40399066359993 |
46 | 158.95 | 159.195108373789 | -0.245108373788639 |
47 | 159.25 | 158.765761815657 | 0.484238184343127 |
48 | 158.72 | 159.041362181660 | -0.321362181659623 |
49 | 158.72 | 158.769886933931 | -0.0498869339310204 |
50 | 158.72 | 157.258181293659 | 1.46181870634086 |
51 | 158.53 | 157.600735104378 | 0.929264895621799 |
52 | 157.92 | 157.607373619735 | 0.312626380265328 |
53 | 157.89 | 157.325814860782 | 0.564185139218011 |
54 | 157.81 | 157.400315382081 | 0.409684617919282 |
55 | 157.81 | 159.334725778587 | -1.52472577858745 |
56 | 157.88 | 159.040867223526 | -1.16086722352611 |
57 | 157.52 | 158.366533119890 | -0.846533119890438 |
58 | 156.11 | 158.023031262051 | -1.91303126205071 |
59 | 155.61 | 156.196501365030 | -0.586501365030216 |
60 | 155.31 | 155.431306109379 | -0.121306109379105 |
61 | 155.31 | 155.367952775427 | -0.0579527754268554 |
62 | 155.31 | 154.019819173891 | 1.29018082610878 |
63 | 153.09 | 154.149974472932 | -1.05997447293200 |
64 | 151.94 | 152.322390544104 | -0.382390544103799 |
65 | 151.73 | 151.452717935168 | 0.277282064832377 |
66 | 151.65 | 151.255268481163 | 0.394731518837091 |
67 | 151.65 | 152.957948726459 | -1.30794872645936 |
68 | 151.09 | 152.897478113839 | -1.80747811383932 |
69 | 149.94 | 151.685059015895 | -1.74505901589504 |
70 | 149.47 | 150.424061041452 | -0.95406104145249 |
71 | 149.15 | 149.598012318800 | -0.448012318799755 |
72 | 149.22 | 149.008203209974 | 0.211796790026256 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 149.247488166659 | 146.861643746193 | 151.633332587126 |
74 | 148.103016024235 | 144.913755587103 | 151.292276461367 |
75 | 146.823280544838 | 142.995681993129 | 150.650879096546 |
76 | 146.012485186851 | 141.638740885886 | 150.386229487817 |
77 | 145.556518425935 | 140.697632983016 | 150.415403868854 |
78 | 145.126366557372 | 139.826565024805 | 150.426168089939 |
79 | 146.286599953234 | 140.579847389667 | 151.993352516801 |
80 | 147.329947567359 | 141.243392436666 | 153.416502698052 |
81 | 147.727925486548 | 141.283914166249 | 154.171936806848 |
82 | 148.104238082441 | 141.321582965650 | 154.886893199232 |
83 | 148.181653396599 | 141.076476483213 | 155.286830309986 |
84 | 148.063776223776 | 140.650095120053 | 155.477457327499 |