Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.681306178212979 |
beta | 0.19014940357291 |
gamma | 0.686106027377372 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 119.7 | 117.356955128205 | 2.34304487179487 |
14 | 114.17 | 113.867608338444 | 0.302391661555873 |
15 | 110.52 | 110.755460070989 | -0.235460070988893 |
16 | 111.27 | 111.482199584934 | -0.212199584934027 |
17 | 111.41 | 111.747712829934 | -0.337712829933551 |
18 | 111.62 | 112.037295774230 | -0.417295774230311 |
19 | 113.91 | 116.117764381270 | -2.20776438126973 |
20 | 118.54 | 119.100276536231 | -0.560276536230816 |
21 | 122.26 | 118.114315200431 | 4.14568479956931 |
22 | 120.44 | 119.430794378018 | 1.00920562198219 |
23 | 121.37 | 125.306113465507 | -3.93611346550738 |
24 | 121.49 | 121.050149416579 | 0.439850583420792 |
25 | 125 | 125.086947594697 | -0.086947594696511 |
26 | 117.24 | 119.224207960210 | -1.98420796020952 |
27 | 117.18 | 113.868731574494 | 3.31126842550589 |
28 | 115.15 | 116.908595540085 | -1.75859554008545 |
29 | 115.27 | 115.784390012376 | -0.514390012375515 |
30 | 114.6 | 115.604606540000 | -1.00460653999951 |
31 | 117.48 | 118.485757031860 | -1.00575703185983 |
32 | 120.8 | 122.39548039581 | -1.5954803958101 |
33 | 118.62 | 121.347152766279 | -2.72715276627878 |
34 | 116.79 | 116.018863471564 | 0.771136528436188 |
35 | 115.46 | 119.343364127123 | -3.88336412712276 |
36 | 112.83 | 114.779722532049 | -1.94972253204939 |
37 | 115.56 | 115.463277710046 | 0.0967222899537603 |
38 | 106.66 | 107.724593675186 | -1.06459367518632 |
39 | 103.39 | 102.686460001761 | 0.703539998238583 |
40 | 102.65 | 101.036173154580 | 1.61382684542036 |
41 | 103.22 | 101.113647947701 | 2.10635205229873 |
42 | 104.1 | 101.583692560525 | 2.51630743947483 |
43 | 104.32 | 106.291036181868 | -1.97103618186829 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
44 | 108.716733679828 | 104.936846395675 | 112.496620963982 |
45 | 108.017234559261 | 103.150877130440 | 112.883591988083 |
46 | 105.174468702014 | 99.148124660124 | 111.200812743903 |
47 | 106.718515253124 | 99.4608783865305 | 113.976152119718 |
48 | 105.489197661900 | 96.9317198149326 | 114.046675508868 |
49 | 108.466926661335 | 98.5438320582813 | 118.390021264389 |
50 | 100.914228815461 | 89.5623561754648 | 112.266101455457 |
51 | 97.6317580172387 | 84.7903552025186 | 110.473160831959 |
52 | 96.2537752099995 | 81.864291922032 | 110.643258497967 |
53 | 95.6829519601663 | 79.6888467048854 | 111.677057215447 |
54 | 94.8782057011409 | 77.2247718010534 | 112.531639601228 |
55 | 96.6346333836248 | 77.2688442882669 | 116.000422478983 |