Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.819865360221212 |
beta | 0.0686375790750982 |
gamma | 0.350889833848575 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 106.61 | 105.651223290598 | 0.958776709401704 |
14 | 106.74 | 106.619747225446 | 0.120252774554018 |
15 | 107.01 | 107.055894819076 | -0.0458948190755848 |
16 | 107.1 | 107.170324423863 | -0.0703244238633118 |
17 | 107.28 | 107.34410096862 | -0.0641009686203802 |
18 | 107.4 | 107.467706051517 | -0.0677060515167227 |
19 | 107.59 | 107.631212057026 | -0.041212057026371 |
20 | 107.69 | 107.735787087819 | -0.0457870878192637 |
21 | 107.78 | 108.039034606292 | -0.259034606291721 |
22 | 108.02 | 107.809121068261 | 0.210878931738904 |
23 | 108 | 108.115923606757 | -0.11592360675742 |
24 | 108.07 | 108.202435295371 | -0.132435295370513 |
25 | 108.36 | 108.510642144692 | -0.150642144691531 |
26 | 108.74 | 108.479341931551 | 0.260658068449217 |
27 | 108.99 | 108.990753179764 | -0.000753179764245715 |
28 | 109.21 | 109.113840977579 | 0.0961590224213893 |
29 | 109.31 | 109.407065778747 | -0.0970657787465967 |
30 | 109.41 | 109.484122117323 | -0.0741221173232702 |
31 | 109.54 | 109.624387204228 | -0.084387204227653 |
32 | 109.81 | 109.671190406349 | 0.138809593651033 |
33 | 109.85 | 110.100606595151 | -0.250606595151112 |
34 | 110.01 | 109.896082255001 | 0.11391774499937 |
35 | 110.23 | 110.086054323478 | 0.143945676522236 |
36 | 110.28 | 110.382524939277 | -0.102524939276947 |
37 | 110.79 | 110.713731373008 | 0.0762686269919612 |
38 | 110.91 | 110.906861671592 | 0.00313832840791406 |
39 | 111.21 | 111.188523727795 | 0.0214762722050494 |
40 | 111.44 | 111.335118634989 | 0.104881365011209 |
41 | 111.52 | 111.62292856219 | -0.102928562189931 |
42 | 111.85 | 111.695945716886 | 0.154054283113908 |
43 | 112.03 | 112.034793502049 | -0.00479350204935258 |
44 | 111.9 | 112.177597139011 | -0.277597139011235 |
45 | 112.11 | 112.234205810038 | -0.124205810037935 |
46 | 112.15 | 112.156670688085 | -0.00667068808535021 |
47 | 112.09 | 112.243205475438 | -0.153205475438 |
48 | 112.13 | 112.25728263771 | -0.127282637709925 |
49 | 112.45 | 112.554908219789 | -0.10490821978928 |
50 | 112.5 | 112.560096100735 | -0.0600961007354641 |
51 | 112.72 | 112.752735685775 | -0.0327356857745968 |
52 | 112.72 | 112.818767358988 | -0.09876735898753 |
53 | 112.83 | 112.873629034488 | -0.0436290344876227 |
54 | 112.95 | 112.961995446027 | -0.0119954460267593 |
55 | 112.98 | 113.09580864802 | -0.115808648019609 |
56 | 113.07 | 113.065248576509 | 0.00475142349100111 |
57 | 113.1 | 113.313826261771 | -0.213826261771459 |
58 | 113.16 | 113.115986003015 | 0.0440139969852567 |
59 | 113.2 | 113.183408007405 | 0.0165919925951385 |
60 | 113.3 | 113.296484542196 | 0.00351545780361562 |
61 | 113.48 | 113.668271451998 | -0.188271451997622 |
62 | 113.67 | 113.568764288654 | 0.101235711346035 |
63 | 113.81 | 113.865301460536 | -0.0553014605357447 |
64 | 113.94 | 113.877286530161 | 0.0627134698386129 |
65 | 114.13 | 114.045740982499 | 0.0842590175012816 |
66 | 114.19 | 114.225869660908 | -0.0358696609075082 |
67 | 114.21 | 114.317115775454 | -0.107115775454119 |
68 | 114.21 | 114.28536047673 | -0.0753604767299265 |
69 | 114.35 | 114.433990774309 | -0.0839907743090009 |
70 | 114.54 | 114.345751171485 | 0.194248828514802 |
71 | 114.51 | 114.529922108299 | -0.0199221082987577 |
72 | 114.53 | 114.605490555855 | -0.0754905558546426 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 114.889189959712 | 114.553092375892 | 115.225287543531 |
74 | 114.961742887125 | 114.514894932981 | 115.408590841269 |
75 | 115.15909305088 | 114.613308188895 | 115.704877912865 |
76 | 115.220696256338 | 114.581711839853 | 115.859680672824 |
77 | 115.332385799858 | 114.603243539903 | 116.061528059812 |
78 | 115.424388703804 | 114.606685455609 | 116.242091951999 |
79 | 115.531106640526 | 114.625575294081 | 116.436637986971 |
80 | 115.58577362576 | 114.592592312292 | 116.578954939228 |
81 | 115.796479272097 | 114.715451824478 | 116.877506719716 |
82 | 115.800249465584 | 114.630917982659 | 116.969580948509 |
83 | 115.806256114034 | 114.547974794498 | 117.064537433571 |
84 | 115.890397546884 | 114.542383057635 | 117.238412036133 |