Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0281561480639734 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 1.32 | 1.31 | 0.01 |
4 | 1.4 | 1.31028156148064 | 0.0897184385193601 |
5 | 1.43 | 1.39280768711966 | 0.0371923128803406 |
6 | 1.43 | 1.42385487938796 | 0.0061451206120402 |
7 | 1.45 | 1.42402790231378 | 0.0259720976862166 |
8 | 1.45 | 1.44475917654177 | 0.00524082345823151 |
9 | 1.33 | 1.44490673794304 | -0.114906737943036 |
10 | 1.27 | 1.32167140681596 | -0.0516714068159634 |
11 | 1.27 | 1.26021653903498 | 0.0097834609650207 |
12 | 1.29 | 1.26049200361049 | 0.0295079963895115 |
13 | 1.25 | 1.2813228351259 | -0.0313228351259027 |
14 | 1.26 | 1.24044090474231 | 0.0195590952576856 |
15 | 1.32 | 1.25099161352439 | 0.0690083864756128 |
16 | 1.36 | 1.31293462387165 | 0.0470653761283497 |
17 | 1.4 | 1.35425980357061 | 0.0457401964293931 |
18 | 1.41 | 1.39554767131375 | 0.0144523286862519 |
19 | 1.42 | 1.40595459322011 | 0.0140454067798927 |
20 | 1.39 | 1.41635005777302 | -0.0263500577730207 |
21 | 1.38 | 1.38560814164487 | -0.00560814164486945 |
22 | 1.41 | 1.37545023797835 | 0.0345497620216473 |
23 | 1.47 | 1.40642302619341 | 0.0635769738065908 |
24 | 1.44 | 1.46821310888137 | -0.0282131088813669 |
25 | 1.47 | 1.43741873641036 | 0.0325812635896419 |
26 | 1.45 | 1.4683360992921 | -0.0183360992920996 |
27 | 1.47 | 1.44781982536552 | 0.0221801746344845 |
28 | 1.49 | 1.46844433364661 | 0.0215556663533913 |
29 | 1.54 | 1.48905125818007 | 0.0509487418199277 |
30 | 1.61 | 1.54048577849843 | 0.0695142215015725 |
31 | 1.63 | 1.61244303121158 | 0.0175569687884223 |
32 | 1.55 | 1.63293736782434 | -0.0829373678243388 |
33 | 1.53 | 1.55060217101584 | -0.0206021710158406 |
34 | 1.41 | 1.53002209323828 | -0.120022093238279 |
35 | 1.26 | 1.40664273341011 | -0.146642733410114 |
36 | 1.19 | 1.25251383889571 | -0.0625138388957134 |
37 | 1.17 | 1.18075368999172 | -0.0107536899917182 |
38 | 1.21 | 1.16045090750408 | 0.0495490924959225 |
39 | 1.24 | 1.20184601908883 | 0.0381539809111719 |
40 | 1.26 | 1.23292028822459 | 0.0270797117754069 |
41 | 1.32 | 1.25368274859887 | 0.066317251401129 |
42 | 1.39 | 1.31554998694852 | 0.0744500130514827 |
43 | 1.35 | 1.38764621253936 | -0.0376462125393593 |
44 | 1.41 | 1.34658624020505 | 0.0634137597949465 |
45 | 1.37 | 1.40837172741513 | -0.038371727415133 |
46 | 1.32 | 1.36729132737656 | -0.0472913273765623 |
47 | 1.38 | 1.31595978576081 | 0.064040214239194 |
48 | 1.38 | 1.37776291151497 | 0.00223708848502668 |
49 | 1.41 | 1.37782589930959 | 0.0321741006904102 |
50 | 1.4 | 1.40873179805245 | -0.00873179805245416 |
51 | 1.45 | 1.39848594425362 | 0.0515140557463754 |
52 | 1.49 | 1.4499363816346 | 0.0400636183654046 |
53 | 1.51 | 1.49106441880527 | 0.0189355811947298 |
54 | 1.48 | 1.51159757183307 | -0.0315975718330663 |
55 | 1.47 | 1.48070790592207 | -0.0107079059220725 |
56 | 1.46 | 1.47040641253748 | -0.0104064125374757 |
57 | 1.46 | 1.46011340804526 | -0.000113408045255614 |
58 | 1.45 | 1.46011021491154 | -0.0101102149115417 |
59 | 1.47 | 1.44982555020353 | 0.0201744497964662 |
60 | 1.53 | 1.47039358499911 | 0.0596064150008877 |
61 | 1.55 | 1.53207187204544 | 0.01792812795456 |
62 | 1.55 | 1.55257665907064 | -0.00257665907063842 |
63 | 1.6 | 1.55250411027634 | 0.047495889723665 |
64 | 1.65 | 1.60384141157982 | 0.046158588420175 |
65 | 1.68 | 1.65514105962981 | 0.0248589403701929 |
66 | 1.63 | 1.68584099163558 | -0.055840991635584 |
67 | 1.62 | 1.63426872440705 | -0.014268724407053 |
68 | 1.63 | 1.62386697208996 | 0.00613302791003556 |
69 | 1.66 | 1.63403965453188 | 0.0259603454681203 |
70 | 1.63 | 1.66477059786267 | -0.034770597862672 |
71 | 1.6 | 1.63379159176098 | -0.0337915917609775 |
72 | 1.6 | 1.60284015070004 | -0.0028401507000384 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 1.6027601829964 | 1.51147473277945 | 1.69404563321336 |
74 | 1.60552036599281 | 1.47459319060074 | 1.73644754138487 |
75 | 1.60828054898921 | 1.44567708088289 | 1.77088401709554 |
76 | 1.61104073198562 | 1.42067231677658 | 1.80140914719465 |
77 | 1.61380091498202 | 1.39803281122514 | 1.8295690187389 |
78 | 1.61656109797842 | 1.37697745194884 | 1.85614474400801 |
79 | 1.61932128097483 | 1.35704910863685 | 1.88159345331281 |
80 | 1.62208146397123 | 1.33795439072987 | 1.9062085372126 |
81 | 1.62484164696764 | 1.31949260099238 | 1.9301906929429 |
82 | 1.62760182996404 | 1.30151987231154 | 1.95368378761654 |
83 | 1.63036201296044 | 1.28392931275756 | 1.97679471316333 |
84 | 1.63312219595685 | 1.2666392219951 | 1.99960516991859 |