Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.913036634752078 |
beta | 0.0354041768981070 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 5.44 | 5.44 | 0 |
4 | 5.44 | 5.44 | 0 |
5 | 5.49 | 5.44 | 0.0499999999999998 |
6 | 5.49 | 5.48726809726416 | 0.00273190273583523 |
7 | 5.49 | 5.4914669996754 | -0.00146699967539909 |
8 | 5.49 | 5.49178472913937 | -0.00178472913937089 |
9 | 5.49 | 5.49175466803915 | -0.00175466803915292 |
10 | 5.49 | 5.49169533363547 | -0.00169533363546925 |
11 | 5.6 | 5.49163537152983 | 0.10836462847017 |
12 | 5.6 | 5.59556710711196 | 0.00443289288803772 |
13 | 5.6 | 5.6047486552334 | -0.00474865523339929 |
14 | 5.6 | 5.6053936118012 | -0.00539361180119968 |
15 | 5.6 | 5.60527534921842 | -0.0052753492184161 |
16 | 5.6 | 5.60509453740459 | -0.0050945374045881 |
17 | 5.6 | 5.60491413089717 | -0.00491413089716541 |
18 | 5.67 | 5.60473959133292 | 0.0652604086670756 |
19 | 5.67 | 5.67074654019325 | -0.000746540193252265 |
20 | 5.67 | 5.67646259445232 | -0.00646259445232289 |
21 | 5.67 | 5.67675077639412 | -0.00675077639412258 |
22 | 5.67 | 5.67655761672232 | -0.00655761672231936 |
23 | 5.67 | 5.67632884191033 | -0.00632884191033423 |
24 | 5.67 | 5.67610436510275 | -0.00610436510274592 |
25 | 5.67 | 5.6758875183466 | -0.00588751834659629 |
26 | 5.67 | 5.67567834476413 | -0.00567834476412621 |
27 | 5.82 | 5.67547660006767 | 0.144523399932330 |
28 | 5.82 | 5.8170863146646 | 0.00291368533540304 |
29 | 5.95 | 5.829495357781 | 0.120504642218999 |
30 | 5.95 | 5.95316460242786 | -0.00316460242786043 |
31 | 5.95 | 5.96381699936383 | -0.0138169993638328 |
32 | 5.95 | 5.9642967288543 | -0.0142967288542959 |
33 | 5.95 | 5.9638763015454 | -0.0138763015453991 |
34 | 5.95 | 5.9633911840153 | -0.0133911840152958 |
35 | 6.02 | 5.96291612238066 | 0.0570838776193376 |
36 | 6.02 | 6.02863262792523 | -0.00863262792523045 |
37 | 6.05 | 6.03406850402134 | 0.0159314959786645 |
38 | 6.05 | 6.06244731569702 | -0.0124473156970248 |
39 | 6.05 | 6.06451286931689 | -0.014512869316893 |
40 | 6.12 | 6.06422336380341 | 0.0557766361965903 |
41 | 6.12 | 6.12991374894779 | -0.00991374894778563 |
42 | 6.12 | 6.13530594089111 | -0.0153059408911078 |
43 | 6.12 | 6.13528009475628 | -0.0152800947562843 |
44 | 6.12 | 6.13478391328148 | -0.0147839132814775 |
45 | 6.12 | 6.13426286908296 | -0.0142628690829643 |
46 | 6.12 | 6.13375650565385 | -0.0137565056538458 |
47 | 6.12 | 6.13326778726893 | -0.0132677872689264 |
48 | 6.17 | 6.13279640132999 | 0.0372035986700148 |
49 | 6.17 | 6.1796098576399 | -0.0096098576398953 |
50 | 6.17 | 6.18337027170712 | -0.0133702717071200 |
51 | 6.17 | 6.18326509178431 | -0.0132650917843131 |
52 | 6.17 | 6.18282714677312 | -0.0128271467731160 |
53 | 6.28 | 6.18237442009848 | 0.0976255799015213 |
54 | 6.27 | 6.28592485647215 | -0.0159248564721501 |
55 | 6.28 | 6.28528480861395 | -0.00528480861394609 |
56 | 6.28 | 6.29418868116626 | -0.0141886811662548 |
57 | 6.27 | 6.29450433836242 | -0.0245043383624157 |
58 | 6.27 | 6.28460931228001 | -0.0146093122800091 |
59 | 6.28 | 6.28327655695657 | -0.00327655695656759 |
60 | 6.59 | 6.29218510669502 | 0.297814893304983 |
61 | 6.59 | 6.5856281398398 | 0.00437186016020075 |
62 | 6.59 | 6.6112882552479 | -0.0212882552479048 |
63 | 6.59 | 6.61283159577489 | -0.0228315957748872 |
64 | 6.59 | 6.61222777143749 | -0.0222277714374908 |
65 | 6.63 | 6.61145674122696 | 0.0185432587730414 |
66 | 6.63 | 6.64851057183333 | -0.0185105718333256 |
67 | 6.63 | 6.65113453765556 | -0.0211345376555592 |
68 | 6.63 | 6.6506795460611 | -0.020679546061106 |
69 | 6.63 | 6.64997150571282 | -0.0199715057128227 |
70 | 6.63 | 6.64926434701746 | -0.0192643470174625 |
71 | 6.63 | 6.64858012411803 | -0.0185801241180288 |
72 | 6.63 | 6.64792001351029 | -0.0179200135102908 |
73 | 6.63 | 6.64728333806896 | -0.0172833380689621 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
74 | 6.64666928135992 | 6.55100417054986 | 6.74233439216997 |
75 | 6.66183554547864 | 6.53018877054082 | 6.79348232041646 |
76 | 6.67700180959736 | 6.5155123704913 | 6.83849124870343 |
77 | 6.69216807371609 | 6.50397977405268 | 6.8803563733795 |
78 | 6.70733433783481 | 6.49436018249222 | 6.9203084931774 |
79 | 6.72250060195354 | 6.48601079453266 | 6.95899040937441 |
80 | 6.73766686607226 | 6.47854859853686 | 6.99678513360766 |
81 | 6.75283313019098 | 6.47172521595918 | 7.03394104442279 |
82 | 6.76799939430971 | 6.4653697467804 | 7.07062904183901 |
83 | 6.78316565842843 | 6.45935933535779 | 7.10697198149907 |
84 | 6.79833192254715 | 6.45360263852224 | 7.14306120657207 |
85 | 6.81349818666588 | 6.44802990800789 | 7.17896646532387 |