Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.622649335200591 |
beta | 0.363515429297754 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 124 | 130.470085470085 | -6.47008547008548 |
14 | 115 | 115.832221304801 | -0.83222130480091 |
15 | 106 | 104.558069013133 | 1.44193098686662 |
16 | 105 | 102.901286600841 | 2.09871339915868 |
17 | 105 | 103.003477653116 | 1.99652234688365 |
18 | 101 | 99.6606043208817 | 1.33939567911834 |
19 | 95 | 92.5867338603554 | 2.41326613964456 |
20 | 93 | 92.4360664915055 | 0.563933508494543 |
21 | 84 | 86.9282222552874 | -2.92822225528737 |
22 | 87 | 83.2498746640973 | 3.75012533590265 |
23 | 116 | 117.370275697779 | -1.37027569777884 |
24 | 120 | 122.950643945718 | -2.95064394571752 |
25 | 117 | 112.354316026409 | 4.64568397359085 |
26 | 109 | 109.066629190610 | -0.0666291906098024 |
27 | 105 | 101.602110423898 | 3.39788957610195 |
28 | 107 | 104.328543663260 | 2.67145633673979 |
29 | 109 | 107.795929068584 | 1.20407093141627 |
30 | 109 | 106.579441863871 | 2.42055813612944 |
31 | 108 | 103.696468045321 | 4.30353195467852 |
32 | 107 | 107.565260112051 | -0.565260112051277 |
33 | 99 | 103.321305834355 | -4.3213058343546 |
34 | 103 | 104.265069281223 | -1.26506928122338 |
35 | 131 | 135.164858294000 | -4.16485829400025 |
36 | 137 | 139.610577641091 | -2.61057764109131 |
37 | 135 | 133.371191779804 | 1.62880822019585 |
38 | 124 | 127.022727741909 | -3.02272774190858 |
39 | 118 | 118.951716471318 | -0.951716471317653 |
40 | 121 | 117.638030847692 | 3.36196915230843 |
41 | 121 | 120.080217750886 | 0.91978224911449 |
42 | 118 | 118.179987002091 | -0.179987002091053 |
43 | 113 | 112.833939010808 | 0.166060989191777 |
44 | 107 | 109.798421611970 | -2.79842161196989 |
45 | 100 | 99.7503107939767 | 0.249689206023334 |
46 | 102 | 102.731751579039 | -0.731751579038601 |
47 | 130 | 131.028363149648 | -1.02836314964833 |
48 | 136 | 136.882440500291 | -0.882440500291096 |
49 | 133 | 132.578876826758 | 0.421123173242137 |
50 | 120 | 122.709901360124 | -2.70990136012379 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
51 | 114.672687707702 | 109.601425126943 | 119.743950288461 |
52 | 114.852292868824 | 108.199872209566 | 121.504713528083 |
53 | 112.791567106821 | 104.189635502630 | 121.393498711012 |
54 | 108.207425995109 | 97.3645310319048 | 119.050320958313 |
55 | 101.448557064966 | 88.121321074667 | 114.775793055264 |
56 | 95.4979345728904 | 79.4739257695044 | 111.521943376276 |
57 | 87.2828100429444 | 68.3707933581374 | 106.194826727751 |
58 | 88.6222636511885 | 66.6464392766377 | 110.598088025739 |
59 | 116.312028841193 | 91.1084300777474 | 141.515627604638 |
60 | 122.143697821153 | 93.5578085909214 | 150.729587051384 |
61 | 118.363437659216 | 86.2485351801843 | 150.478340138247 |
62 | 106.437389710516 | 70.6533405820786 | 142.221438838954 |