Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.690931889653249 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1.2727 | 1.3790280715812 | -0.106328071581196 |
14 | 1.3917 | 1.42402632536787 | -0.0323263253678738 |
15 | 1.2816 | 1.29131724550336 | -0.0097172455033625 |
16 | 1.2644 | 1.26226699991296 | 0.00213300008704098 |
17 | 1.3308 | 1.31745030023452 | 0.0133496997654787 |
18 | 1.3275 | 1.30024190939391 | 0.0272580906060869 |
19 | 1.4098 | 1.40599326931884 | 0.00380673068115822 |
20 | 1.4134 | 1.43284550348257 | -0.0194455034825682 |
21 | 1.4138 | 1.40281536089022 | 0.0109846391097754 |
22 | 1.4272 | 1.32867287422163 | 0.0985271257783733 |
23 | 1.4643 | 1.36129128329191 | 0.103008716708093 |
24 | 1.48 | 1.28453116645191 | 0.195468833548088 |
25 | 1.5023 | 1.38583374336399 | 0.116466256636013 |
26 | 1.4406 | 1.60763928321432 | -0.167039283214318 |
27 | 1.3966 | 1.38884047041459 | 0.00775952958541182 |
28 | 1.357 | 1.37552801907309 | -0.0185280190730872 |
29 | 1.3479 | 1.41990268655812 | -0.0720026865581216 |
30 | 1.3315 | 1.3480202502236 | -0.016520250223605 |
31 | 1.2307 | 1.41627569089613 | -0.185575690896131 |
32 | 1.2271 | 1.30509104657803 | -0.0779910465780296 |
33 | 1.3028 | 1.24401490793256 | 0.0587850920674391 |
34 | 1.268 | 1.229955869482 | 0.0380441305179982 |
35 | 1.3648 | 1.22216976518514 | 0.142630234814862 |
36 | 1.3857 | 1.20136189231576 | 0.18433810768424 |
37 | 1.2998 | 1.27055671861478 | 0.0292432813852248 |
38 | 1.3362 | 1.34447460187952 | -0.00827460187952345 |
39 | 1.3692 | 1.28939610912751 | 0.0798038908724927 |
40 | 1.3834 | 1.31773676147942 | 0.06566323852058 |
41 | 1.4207 | 1.40375453923491 | 0.0169454607650901 |
42 | 1.486 | 1.41047706616692 | 0.0755229338330816 |
43 | 1.4385 | 1.49007843233694 | -0.0515784323369382 |
44 | 1.4453 | 1.50472774980522 | -0.0594277498052178 |
45 | 1.426 | 1.49875072758886 | -0.0727507275888624 |
46 | 1.445 | 1.38739902691323 | 0.0576009730867744 |
47 | 1.3503 | 1.42544959843162 | -0.0751495984316177 |
48 | 1.4001 | 1.2670612673032 | 0.133038732696798 |
49 | 1.3418 | 1.25287685461532 | 0.088923145384681 |
50 | 1.2939 | 1.35643387780261 | -0.0625338778026145 |
51 | 1.3176 | 1.2910881743229 | 0.0265118256771046 |
52 | 1.3443 | 1.27823721466436 | 0.0660627853356415 |
53 | 1.3356 | 1.3494739405446 | -0.0138739405446018 |
54 | 1.3214 | 1.35300678920173 | -0.0316067892017349 |
55 | 1.2403 | 1.31930583433262 | -0.0790058343326212 |
56 | 1.259 | 1.31257871139431 | -0.0535787113943116 |
57 | 1.2284 | 1.30652526877207 | -0.078125268772075 |
58 | 1.2611 | 1.23174768000901 | 0.0293523199909937 |
59 | 1.293 | 1.20925138797713 | 0.083748612022869 |
60 | 1.2993 | 1.22499527175866 | 0.0743047282413438 |
61 | 1.2986 | 1.15659494117807 | 0.142005058821929 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 1.25001741516773 | 1.08685448855302 | 1.41318034178245 |
63 | 1.25539954935449 | 1.05707859441296 | 1.45372050429603 |
64 | 1.23645466424678 | 1.00833131665526 | 1.46457801183831 |
65 | 1.2373406122042 | 0.982881730921181 | 1.49179949348722 |
66 | 1.24497875079323 | 0.96666528936664 | 1.52329221221981 |
67 | 1.2184664012023 | 0.91818745861942 | 1.51874534378517 |
68 | 1.27418564151115 | 0.953441968298208 | 1.5949293147241 |
69 | 1.29756488109351 | 0.95758611050103 | 1.63754365168599 |
70 | 1.30998442717643 | 0.95180203648557 | 1.66816681786728 |
71 | 1.28401984041563 | 0.908515265811724 | 1.65952441501953 |
72 | 1.23898033412167 | 0.846918162909112 | 1.63104250533422 |
73 | 1.14016451048951 | 0.732216221311403 | 1.54811279966762 |