Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.251329581019462 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 84.27 | 84.57 | -0.300000000000011 |
4 | 84.47 | 84.2246011256942 | 0.245398874305849 |
5 | 84.25 | 84.4862771219561 | -0.236277121956093 |
6 | 84.33 | 84.2068936918904 | 0.123106308109612 |
7 | 84.29 | 84.3178339487284 | -0.0278339487284143 |
8 | 84.53 | 84.2708384540564 | 0.259161545943599 |
9 | 84.01 | 84.5759734168148 | -0.565973416814757 |
10 | 84.18 | 83.9137275550986 | 0.266272444901446 |
11 | 84.08 | 84.1506496971127 | -0.0706496971126711 |
12 | 83.44 | 84.0328933383382 | -0.592893338338186 |
13 | 83.61 | 83.2438817040244 | 0.366118295975582 |
14 | 83.89 | 83.5058980619555 | 0.384101938044481 |
15 | 83.4 | 83.882434241113 | -0.482434241112998 |
16 | 82.96 | 83.2711842454246 | -0.311184245424641 |
17 | 82.76 | 82.7529744394022 | 0.00702556059781045 |
18 | 83.35 | 82.5547401706037 | 0.795259829396315 |
19 | 87.78 | 83.3446124903274 | 4.43538750967255 |
20 | 88.99 | 88.8893565747924 | 0.100643425207579 |
21 | 88.92 | 90.1246512446822 | -1.2046512446822 |
22 | 88.91 | 89.7518867520816 | -0.841886752081649 |
23 | 89.79 | 89.5302957074151 | 0.259704292584871 |
24 | 90.54 | 90.4755670784594 | 0.0644329215405577 |
25 | 93.15 | 91.2417609776341 | 1.9082390223659 |
26 | 92.79 | 94.3313578916103 | -1.5413578916103 |
27 | 93.21 | 93.5839690585108 | -0.373969058510852 |
28 | 95.35 | 93.9099795717211 | 1.44002042827893 |
29 | 100.91 | 96.4118993026199 | 4.49810069738012 |
30 | 103.69 | 103.102405066276 | 0.587594933724233 |
31 | 104.04 | 106.030085054778 | -1.99008505477784 |
32 | 104.16 | 105.879917811767 | -1.71991781176744 |
33 | 104.71 | 105.567651588748 | -0.857651588748013 |
34 | 105.18 | 105.902098374287 | -0.722098374287285 |
35 | 104.92 | 106.190613692423 | -1.27061369242284 |
36 | 104.83 | 105.611270885469 | -0.781270885468615 |
37 | 104.9 | 105.324914401161 | -0.424914401161075 |
38 | 105.05 | 105.288120842748 | -0.238120842748145 |
39 | 104.6 | 105.378274031108 | -0.778274031108239 |
40 | 103.21 | 104.732670744951 | -1.52267074495148 |
41 | 102.52 | 102.959978544592 | -0.439978544592236 |
42 | 101.09 | 102.159398921322 | -1.0693989213223 |
43 | 101.19 | 100.460627338484 | 0.72937266151628 |
44 | 102.34 | 100.74394026391 | 1.59605973609035 |
45 | 102.62 | 102.295077288663 | 0.324922711336725 |
46 | 102.47 | 102.656739977567 | -0.186739977567242 |
47 | 101.82 | 102.459806697246 | -0.639806697245689 |
48 | 101.86 | 101.649004348093 | 0.210995651906529 |
49 | 101.54 | 101.742033796884 | -0.202033796884066 |
50 | 101.98 | 101.371256727361 | 0.608743272638563 |
51 | 101.23 | 101.964251919022 | -0.7342519190221 |
52 | 100.4 | 101.029712691852 | -0.629712691851537 |
53 | 99.94 | 100.041447264846 | -0.101447264845859 |
54 | 99.94 | 99.5559505662766 | 0.384049433723433 |
55 | 100 | 99.652473549545 | 0.347526450454964 |
56 | 98.8 | 99.7998172267311 | -0.999817226731068 |
57 | 99.07 | 98.3485335820407 | 0.721466417959292 |
58 | 99.46 | 98.799859434586 | 0.660140565413968 |
59 | 99.18 | 99.3557722863055 | -0.17577228630546 |
60 | 98.47 | 99.0315955112335 | -0.561595511233492 |
61 | 97.12 | 98.1804499466928 | -1.06044994669276 |
62 | 96.91 | 96.5639275058984 | 0.346072494101634 |
63 | 96.09 | 96.4409057608433 | -0.350905760843276 |
64 | 97.17 | 95.5327127629932 | 1.63728723700677 |
65 | 96.8 | 97.0242114782787 | -0.224211478278662 |
66 | 97.13 | 96.5978605013831 | 0.532139498616871 |
67 | 99.9 | 97.0616028986144 | 2.8383971013856 |
68 | 100.56 | 100.544976052873 | 0.0150239471274887 |
69 | 100.84 | 101.208752015209 | -0.36875201520931 |
70 | 99.81 | 101.396073725727 | -1.58607372572668 |
71 | 100.44 | 99.9674464807738 | 0.472553519226182 |
72 | 100.07 | 100.71621315877 | -0.646213158770209 |
73 | 101.32 | 100.183800676327 | 1.13619932367277 |
74 | 103.98 | 101.7193611763 | 2.26063882369951 |
75 | 104.81 | 104.947526584697 | -0.137526584697227 |
76 | 106.23 | 105.742962085786 | 0.487037914213772 |
77 | 106.48 | 107.285369120706 | -0.805369120706175 |
78 | 107.59 | 107.332956037033 | 0.257043962966918 |
79 | 107.16 | 108.507558788549 | -1.34755878854914 |
80 | 107.54 | 107.738877402824 | -0.198877402823982 |
81 | 107.1 | 108.068893628498 | -0.968893628498009 |
82 | 106.38 | 107.385381998795 | -1.00538199879516 |
83 | 106.64 | 106.412699762273 | 0.227300237726539 |
84 | 106.13 | 106.729827035787 | -0.599827035786902 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 106.069072758198 | 103.86081767169 | 108.277327844707 |
86 | 106.008145516397 | 102.47091945113 | 109.545371581664 |
87 | 105.947218274595 | 101.097189126008 | 110.797247423183 |
88 | 105.886291032794 | 99.679449351543 | 112.093132714045 |
89 | 105.825363790992 | 98.2007772060221 | 113.449950375962 |
90 | 105.764436549191 | 96.6558064018013 | 114.87306669658 |
91 | 105.703509307389 | 95.0433310265261 | 116.363687588252 |
92 | 105.642582065587 | 93.3638547838914 | 117.921309347284 |
93 | 105.581654823786 | 91.6186171596389 | 119.544692487933 |
94 | 105.520727581984 | 89.809162349674 | 121.232292814295 |
95 | 105.459800340183 | 87.9371356744552 | 122.98246500591 |
96 | 105.398873098381 | 86.0041842573978 | 124.793561939365 |