Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.819828902860289 |
beta | 0.380658228872049 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 102.48 | 102.641041747874 | -0.161041747874194 |
14 | 102.57 | 102.545592990979 | 0.0244070090205071 |
15 | 102.88 | 102.837940082573 | 0.0420599174272809 |
16 | 102.63 | 102.648872734969 | -0.0188727349688236 |
17 | 102.38 | 102.424351424615 | -0.044351424614689 |
18 | 101.69 | 101.741505230615 | -0.0515052306153052 |
19 | 101.96 | 102.078938340214 | -0.118938340213560 |
20 | 102.19 | 101.596091894191 | 0.593908105808836 |
21 | 101.87 | 102.449108102370 | -0.579108102369659 |
22 | 101.6 | 102.054102773546 | -0.454102773545628 |
23 | 101.63 | 101.365358516229 | 0.264641483771214 |
24 | 101.22 | 101.479890564252 | -0.259890564251990 |
25 | 101.21 | 100.373903427511 | 0.836096572488913 |
26 | 101.49 | 101.201661785410 | 0.288338214589800 |
27 | 101.64 | 101.867100895439 | -0.227100895439463 |
28 | 101.66 | 101.521685353881 | 0.138314646119412 |
29 | 101.77 | 101.54507234628 | 0.224927653719917 |
30 | 101.82 | 101.290503505736 | 0.529496494264279 |
31 | 101.78 | 102.480721223983 | -0.700721223982526 |
32 | 101.28 | 101.855579183130 | -0.575579183130472 |
33 | 101.29 | 101.378370479508 | -0.0883704795080575 |
34 | 101.37 | 101.400813155179 | -0.0308131551786772 |
35 | 101.12 | 101.314660205805 | -0.194660205805420 |
36 | 101.51 | 100.941014072638 | 0.568985927361908 |
37 | 102.24 | 100.950924563253 | 1.28907543674656 |
38 | 102.94 | 102.433690719131 | 0.506309280869218 |
39 | 103.09 | 103.639610313187 | -0.549610313187472 |
40 | 103.46 | 103.444384803987 | 0.0156151960129591 |
41 | 103.64 | 103.692209483583 | -0.0522094835825868 |
42 | 104.39 | 103.479699699620 | 0.910300300379731 |
43 | 104.15 | 105.109346253215 | -0.959346253215443 |
44 | 105.21 | 104.554402238713 | 0.655597761286984 |
45 | 105.8 | 105.829732951958 | -0.0297329519584082 |
46 | 105.91 | 106.589733235301 | -0.679733235301129 |
47 | 105.39 | 106.410749210747 | -1.02074921074669 |
48 | 105.46 | 105.711338035133 | -0.251338035132790 |
49 | 104.72 | 105.116760392585 | -0.396760392584511 |
50 | 103.14 | 104.499455246477 | -1.35945524647687 |
51 | 102.63 | 102.827331842622 | -0.197331842621836 |
52 | 102.32 | 101.974212448107 | 0.345787551893338 |
53 | 101.93 | 101.537660601359 | 0.392339398641354 |
54 | 100.62 | 101.064479808940 | -0.444479808939647 |
55 | 100.6 | 100.022325667924 | 0.577674332076143 |
56 | 99.63 | 100.262918510549 | -0.632918510548976 |
57 | 98.9 | 99.20254370552 | -0.302543705519966 |
58 | 98.32 | 98.3732347798924 | -0.0532347798924491 |
59 | 99.22 | 97.6011398544248 | 1.61886014557516 |
60 | 98.81 | 98.9661073748992 | -0.156107374899179 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 98.2533040371124 | 97.131288856674 | 99.375319217551 |
62 | 97.7345435613244 | 96.0421666742657 | 99.4269204483831 |
63 | 97.7289902862882 | 95.3819957589803 | 100.075984813596 |
64 | 97.550182733870 | 94.481777828534 | 100.618587639206 |
65 | 97.1555323399272 | 93.3103004670476 | 101.000764212807 |
66 | 96.4202885937162 | 91.7583609879724 | 101.08221619946 |
67 | 96.248739913619 | 90.6930365262981 | 101.804443300940 |
68 | 95.9448718458424 | 89.4516267574393 | 102.438116934245 |
69 | 95.8020655033174 | 88.3115404178762 | 103.292590588759 |
70 | 95.699728834307 | 87.1598850147617 | 104.239572653852 |
71 | 95.7182796388638 | 86.069524657624 | 105.367034620104 |
72 | 95.3891336499251 | 83.9709845580115 | 106.807282741839 |