Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.888966488320276 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 2.26 | 1.93469425938856 | 0.325305740611437 |
14 | 2.57 | 2.52078854176534 | 0.0492114582346606 |
15 | 3.07 | 3.03420164067502 | 0.0357983593249784 |
16 | 2.76 | 2.78222736468926 | -0.0222273646892632 |
17 | 2.51 | 2.57835260397630 | -0.0683526039763032 |
18 | 2.87 | 2.90961127396768 | -0.0396112739676839 |
19 | 3.14 | 3.19612999117814 | -0.0561299911781408 |
20 | 3.11 | 2.89790720766739 | 0.212092792332605 |
21 | 3.16 | 2.66095729753223 | 0.499042702467769 |
22 | 2.47 | 4.23348483147476 | -1.76348483147476 |
23 | 2.57 | 2.40525201288053 | 0.164747987119474 |
24 | 2.89 | 2.30334674674196 | 0.586653253258037 |
25 | 2.63 | 2.8464304290902 | -0.2164304290902 |
26 | 2.38 | 2.95696193075564 | -0.576961930755638 |
27 | 1.69 | 2.89239067395073 | -1.20239067395073 |
28 | 1.96 | 1.67412754061246 | 0.285872459387537 |
29 | 2.19 | 1.81151962604167 | 0.378480373958327 |
30 | 1.87 | 2.49460661561066 | -0.624606615610657 |
31 | 1.6 | 2.17618175811147 | -0.576181758111474 |
32 | 1.63 | 1.57479023769102 | 0.0552097623089802 |
33 | 1.22 | 1.43800469373072 | -0.218004693730717 |
34 | 1.21 | 1.58134542110573 | -0.371345421105732 |
35 | 1.49 | 1.25591593674353 | 0.234084063256472 |
36 | 1.64 | 1.36484532354974 | 0.275154676450262 |
37 | 1.66 | 1.59302168861610 | 0.0669783113839038 |
38 | 1.77 | 1.82930579339221 | -0.0593057933922083 |
39 | 1.82 | 2.01601796141711 | -0.196017961417114 |
40 | 1.78 | 1.84932255172931 | -0.0693225517293077 |
41 | 1.28 | 1.68923463784740 | -0.409234637847403 |
42 | 1.29 | 1.47814694140706 | -0.188146941407060 |
43 | 1.37 | 1.48525488635487 | -0.115254886354868 |
44 | 1.12 | 1.37408714745063 | -0.254087147450625 |
45 | 1.51 | 1.00769512144109 | 0.502304878558914 |
46 | 2.24 | 1.81153135781857 | 0.428468642181429 |
47 | 2.94 | 2.26787632094682 | 0.672123679053183 |
48 | 3.09 | 2.62537908394678 | 0.464620916053222 |
49 | 3.46 | 2.92176232499024 | 0.53823767500976 |
50 | 3.64 | 3.67694736369968 | -0.0369473636996784 |
51 | 4.39 | 4.03955325347355 | 0.350446746526447 |
52 | 4.15 | 4.32232514268676 | -0.172325142686762 |
53 | 5.21 | 3.75249973923036 | 1.45750026076964 |
54 | 5.8 | 5.57276717316195 | 0.227232826838049 |
55 | 5.91 | 6.37556886689363 | -0.465568866893626 |
56 | 5.39 | 5.64135319843935 | -0.251353198439354 |
57 | 5.46 | 4.86698354118025 | 0.593016458819752 |
58 | 4.72 | 6.45703392550234 | -1.73703392550234 |
59 | 3.14 | 5.03095591214422 | -1.89095591214422 |
60 | 2.63 | 3.03471010365082 | -0.404710103650824 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 2.58062800055381 | 1.36225236851070 | 3.79900363259691 |
62 | 2.75295883243842 | 1.08922390814993 | 4.41669375672691 |
63 | 3.09686438962256 | 0.981270518214004 | 5.21245826103111 |
64 | 3.05196134635758 | 0.732711312332134 | 5.37121138038303 |
65 | 2.86201824786779 | 0.4581515401765 | 5.26588495555908 |
66 | 3.09988366620187 | 0.330621930310382 | 5.86914540209336 |
67 | 3.40606501472994 | 0.235105566147667 | 6.57702446331222 |
68 | 3.25853623848574 | 0.0813760710131928 | 6.43569640595828 |
69 | 2.99856143897777 | -0.0816123929101518 | 6.07873527086569 |
70 | 3.43295465304555 | -0.187862690392194 | 7.0537719964833 |
71 | 3.44533392960542 | -0.289989914068904 | 7.18065777327974 |
72 | 3.26869252487611 | -17.1231856882811 | 23.6605707380333 |