Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.243934263225562 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 15.33 | 15.37 | -0.0399999999999991 |
4 | 15.36 | 15.440242629471 | -0.0802426294709768 |
5 | 15.4 | 15.4506687027717 | -0.0506687027716914 |
6 | 15.4 | 15.4783088700925 | -0.078308870092485 |
7 | 15.41 | 15.4592066535624 | -0.0492066535624485 |
8 | 15.47 | 15.4572034647799 | 0.0127965352201027 |
9 | 15.54 | 15.5203249781707 | 0.0196750218293449 |
10 | 15.55 | 15.5951243901245 | -0.0451243901245402 |
11 | 15.59 | 15.594117005266 | -0.00411700526600889 |
12 | 15.65 | 15.6331127266197 | 0.0168872733802523 |
13 | 15.75 | 15.6972321112096 | 0.0527678887903509 |
14 | 15.86 | 15.8101040072837 | 0.0498959927163085 |
15 | 15.89 | 15.9322753495049 | -0.0422753495048518 |
16 | 15.94 | 15.9519629432708 | -0.0119629432707846 |
17 | 15.93 | 15.999044771518 | -0.0690447715180156 |
18 | 15.95 | 15.9722023860482 | -0.0222023860481908 |
19 | 15.99 | 15.9867864633657 | 0.00321353663432511 |
20 | 15.99 | 16.0275703550569 | -0.0375703550569195 |
21 | 16.06 | 16.018405658177 | 0.0415943418230107 |
22 | 16.08 | 16.0985519433039 | -0.0185519433039367 |
23 | 16.07 | 16.1140264886827 | -0.044026488682686 |
24 | 16.11 | 16.0932869196035 | 0.0167130803965314 |
25 | 16.15 | 16.1373638125562 | 0.0126361874437748 |
26 | 16.18 | 16.1804462116303 | -0.000446211630301008 |
27 | 16.3 | 16.210337365325 | 0.0896626346749798 |
28 | 16.42 | 16.3522091540533 | 0.0677908459466749 |
29 | 16.49 | 16.4887456641128 | 0.00125433588723212 |
30 | 16.5 | 16.5590516396133 | -0.0590516396132514 |
31 | 16.58 | 16.5546469214119 | 0.0253530785880649 |
32 | 16.64 | 16.6408314059578 | -0.000831405957811171 |
33 | 16.66 | 16.7006285975581 | -0.0406285975580545 |
34 | 16.81 | 16.7107178905468 | 0.0992821094531564 |
35 | 16.91 | 16.8849361987678 | 0.0250638012322248 |
36 | 16.92 | 16.991050118655 | -0.0710501186549912 |
37 | 16.95 | 16.9837185603088 | -0.0337185603087988 |
38 | 17.11 | 17.0054934481428 | 0.104506551857156 |
39 | 17.16 | 17.1909861768724 | -0.0309861768723643 |
40 | 17.16 | 17.2334275866468 | -0.0734275866468259 |
41 | 17.27 | 17.2155160823977 | 0.0544839176022975 |
42 | 17.34 | 17.3388065766957 | 0.0011934233043398 |
43 | 17.39 | 17.4090976935301 | -0.0190976935301208 |
44 | 17.43 | 17.4544391117295 | -0.0244391117295457 |
45 | 17.45 | 17.4884775750159 | -0.0384775750159108 |
46 | 17.5 | 17.4990915761037 | 0.000908423896301969 |
47 | 17.56 | 17.5493131718175 | 0.010686828182461 |
48 | 17.65 | 17.6119200553764 | 0.0380799446235542 |
49 | 17.62 | 17.7112090586119 | -0.0912090586118595 |
50 | 17.7 | 17.6589600440999 | 0.0410399559001178 |
51 | 17.72 | 17.7489710955052 | -0.0289710955051845 |
52 | 17.71 | 17.7619040526683 | -0.0519040526682879 |
53 | 17.74 | 17.7392428758222 | 0.000757124177766855 |
54 | 17.75 | 17.7694275643507 | -0.0194275643507034 |
55 | 17.78 | 17.7746885157545 | 0.00531148424545336 |
56 | 17.8 | 17.8059841687506 | -0.00598416875059726 |
57 | 17.86 | 17.8245244249554 | 0.0354755750445968 |
58 | 17.88 | 17.8931781332164 | -0.0131781332164103 |
59 | 17.89 | 17.9099635349996 | -0.0199635349995759 |
60 | 17.94 | 17.9150937447981 | 0.0249062552019232 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 17.9711692338105 | 17.8835671853591 | 18.0587712822618 |
62 | 18.0023384676209 | 17.8625213046718 | 18.14215563057 |
63 | 18.0335077014314 | 17.8423600075572 | 18.2246553953056 |
64 | 18.0646769352419 | 17.8206416821852 | 18.3087121882985 |
65 | 18.0958461690523 | 17.7966649346397 | 18.395027403465 |
66 | 18.1270154028628 | 17.7701970455283 | 18.4838337601973 |
67 | 18.1581846366733 | 17.7411759168127 | 18.5751933565338 |
68 | 18.1893538704837 | 17.7096107221869 | 18.6690970187806 |
69 | 18.2205231042942 | 17.6755421246154 | 18.765504083973 |
70 | 18.2516923381047 | 17.6390244897169 | 18.8643601864924 |
71 | 18.2828615719151 | 17.600117372794 | 18.9656057710363 |
72 | 18.3140308057256 | 17.5588812870507 | 19.0691803244005 |