Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0366764843068366 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 62.2 | 62.19 | 0.0100000000000051 |
4 | 62.22 | 62.2403667648431 | -0.0203667648430752 |
5 | 62.02 | 62.2596197835119 | -0.239619783511912 |
6 | 62.02 | 62.0508313722823 | -0.0308313722823357 |
7 | 62.02 | 62.0497005859407 | -0.0297005859406667 |
8 | 62.07 | 62.0486112728665 | 0.0213887271334912 |
9 | 62.31 | 62.0993957361816 | 0.210604263818439 |
10 | 62.71 | 62.3471199601585 | 0.362880039841542 |
11 | 62.77 | 62.760429124245 | 0.00957087575503834 |
12 | 62.82 | 62.8207801503194 | -0.000780150319400263 |
13 | 62.82 | 62.8707515371485 | -0.0507515371484502 |
14 | 62.82 | 62.8688901491927 | -0.0488901491926796 |
15 | 62.55 | 62.8670970304031 | -0.317097030403055 |
16 | 62.6 | 62.5854670261437 | 0.0145329738562694 |
17 | 62.47 | 62.6360000445313 | -0.166000044531309 |
18 | 62.47 | 62.4999117465031 | -0.0299117465031173 |
19 | 62.47 | 62.4988146888019 | -0.0288146888019085 |
20 | 62.72 | 62.4977578673203 | 0.222242132679746 |
21 | 63.13 | 62.7559089274118 | 0.3740910725882 |
22 | 64.09 | 63.1796292727649 | 0.91037072723509 |
23 | 64.31 | 64.1730184704558 | 0.136981529544244 |
24 | 64.29 | 64.3980424713744 | -0.108042471374404 |
25 | 64.29 | 64.3740798533686 | -0.0840798533685785 |
26 | 64.29 | 64.370996099946 | -0.0809960999459776 |
27 | 64.35 | 64.3680254477574 | -0.0180254477574096 |
28 | 64.42 | 64.4273643377056 | -0.00736433770559586 |
29 | 64.24 | 64.4970942396893 | -0.257094239689309 |
30 | 64.23 | 64.307664926842 | -0.0776649268419618 |
31 | 64.23 | 64.2948164503715 | -0.0648164503714526 |
32 | 64.2 | 64.2924392108466 | -0.0924392108465781 |
33 | 65.35 | 64.2590488655806 | 1.09095113441936 |
34 | 65.83 | 65.4490611177417 | 0.38093888225832 |
35 | 66.15 | 65.9430326166787 | 0.206967383321313 |
36 | 66.19 | 66.2706234526651 | -0.0806234526651224 |
37 | 66.19 | 66.3076664678687 | -0.117666467868673 |
38 | 66.56 | 66.3033508755064 | 0.256649124493563 |
39 | 66.59 | 66.6827638630933 | -0.0927638630932961 |
40 | 66.48 | 66.7093616107243 | -0.229361610724311 |
41 | 66.4 | 66.590949433208 | -0.19094943320799 |
42 | 66.4 | 66.5039460793175 | -0.103946079317538 |
43 | 66.4 | 66.5001337025707 | -0.100133702570702 |
44 | 66.49 | 66.4964611503998 | -0.00646115039978667 |
45 | 66.65 | 66.5862241781185 | 0.0637758218814781 |
46 | 67.69 | 66.7485632510489 | 0.941436748951062 |
47 | 67.91 | 67.8230918411977 | 0.086908158802288 |
48 | 68.14 | 68.0462793269202 | 0.0937206730798437 |
49 | 68.14 | 68.2797166717156 | -0.13971667171559 |
50 | 68.16 | 68.274592355398 | -0.114592355398017 |
51 | 67.94 | 68.2903895106736 | -0.35038951067358 |
52 | 68 | 68.0575384552841 | -0.0575384552840745 |
53 | 68.1 | 68.1154281470318 | -0.0154281470318125 |
54 | 68.12 | 68.2148622968393 | -0.0948622968393096 |
55 | 68.12 | 68.231383081298 | -0.111383081297973 |
56 | 68.24 | 68.2272979414647 | 0.0127020585352824 |
57 | 68.42 | 68.3477638083152 | 0.072236191684766 |
58 | 68.97 | 68.530413177866 | 0.439586822134046 |
59 | 69.13 | 69.0965356770494 | 0.0334643229505502 |
60 | 69.2 | 69.257763030765 | -0.0577630307649741 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 69.3256444858736 | 68.7874554893891 | 69.8638334823581 |
62 | 69.4512889717472 | 68.6760916345408 | 70.2264863089537 |
63 | 69.5769334576208 | 68.6101709253438 | 70.5436959898979 |
64 | 69.7025779434944 | 68.5661258814456 | 70.8390300055433 |
65 | 69.8282224293681 | 68.5350129935216 | 71.1214318652145 |
66 | 69.9538669152417 | 68.5123360943826 | 71.3953977361007 |
67 | 70.0795114011153 | 68.4954773346579 | 71.6635454675727 |
68 | 70.2051558869889 | 68.4827655884837 | 71.927546185494 |
69 | 70.3308003728625 | 68.473064222507 | 72.188536523218 |
70 | 70.4564448587361 | 68.4655634051215 | 72.4473263123507 |
71 | 70.5820893446097 | 68.4596653386201 | 72.7045133505993 |
72 | 70.7077338304833 | 68.4549162729145 | 72.9605513880521 |