Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.104119016628758 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 15.73 | 15.74 | -0.00999999999999979 |
4 | 15.74 | 15.8089588098337 | -0.0689588098337133 |
5 | 15.77 | 15.8117788863659 | -0.0417788863659379 |
6 | 15.78 | 15.8374289098017 | -0.0574289098016703 |
7 | 15.8 | 15.8414494681871 | -0.0414494681870572 |
8 | 15.81 | 15.8571337903196 | -0.0471337903196378 |
9 | 15.82 | 15.8622262664216 | -0.0422262664215705 |
10 | 15.88 | 15.8678297090859 | 0.0121702909141472 |
11 | 15.85 | 15.9290968678079 | -0.0790968678079214 |
12 | 15.89 | 15.8908613797133 | -0.00086137971334388 |
13 | 15.92 | 15.9307716937046 | -0.0107716937046476 |
14 | 16.02 | 15.9596501555487 | 0.0603498444513075 |
15 | 16.1 | 16.0659337220067 | 0.0340662779933396 |
16 | 16.13 | 16.1494806693715 | -0.0194806693715321 |
17 | 16.21 | 16.1774523612333 | 0.0325476387667045 |
18 | 16.25 | 16.2608411893753 | -0.0108411893752738 |
19 | 16.27 | 16.2997124153984 | -0.0297124153984356 |
20 | 16.21 | 16.3166187879255 | -0.106618787925484 |
21 | 16.21 | 16.2455177445725 | -0.0355177445725339 |
22 | 16.24 | 16.2418196719348 | -0.00181967193477206 |
23 | 16.32 | 16.2716302094823 | 0.0483697905176683 |
24 | 16.32 | 16.3566664245056 | -0.0366664245055723 |
25 | 16.36 | 16.3528487524428 | 0.00715124755723906 |
26 | 16.48 | 16.3935933333061 | 0.0864066666939145 |
27 | 16.54 | 16.5225899104724 | 0.0174100895275728 |
28 | 16.58 | 16.5844026318735 | -0.00440263187345735 |
29 | 16.56 | 16.6239442341722 | -0.0639442341722116 |
30 | 16.55 | 16.5972864233911 | -0.047286423391121 |
31 | 16.58 | 16.5823630074877 | -0.00236300748775164 |
32 | 16.53 | 16.6121169734718 | -0.0821169734718339 |
33 | 16.6 | 16.5535670349454 | 0.0464329650545778 |
34 | 16.46 | 16.6284015896061 | -0.168401589606063 |
35 | 16.48 | 16.4708677816976 | 0.00913221830244026 |
36 | 16.48 | 16.4918186192868 | -0.0118186192868492 |
37 | 16.49 | 16.4905880762688 | -0.000588076268794424 |
38 | 16.54 | 16.500526846346 | 0.0394731536540185 |
39 | 16.67 | 16.5546367522877 | 0.115363247712327 |
40 | 16.72 | 16.6966482601946 | 0.0233517398054168 |
41 | 16.79 | 16.7490796203797 | 0.0409203796203066 |
42 | 16.86 | 16.8233402100658 | 0.0366597899341663 |
43 | 16.84 | 16.8971571913436 | -0.0571571913435953 |
44 | 16.86 | 16.8712060407876 | -0.0112060407876413 |
45 | 16.96 | 16.8900392788405 | 0.0699607211594717 |
46 | 17.01 | 16.9973235203303 | 0.0126764796697074 |
47 | 17.02 | 17.0486433829278 | -0.0286433829278181 |
48 | 17.04 | 17.0556610620645 | -0.0156610620644528 |
49 | 17.04 | 17.0740304476829 | -0.0340304476829374 |
50 | 17.39 | 17.0704872309348 | 0.319512769065248 |
51 | 17.54 | 17.4537545862502 | 0.0862454137498396 |
52 | 17.57 | 17.6127343739185 | -0.0427343739185311 |
53 | 17.58 | 17.6382849129299 | -0.0582849129298921 |
54 | 17.56 | 17.6422163451113 | -0.0822163451113376 |
55 | 17.63 | 17.6136560601075 | 0.0163439398924652 |
56 | 17.67 | 17.685357775057 | -0.0153577750569731 |
57 | 17.71 | 17.7237587386204 | -0.0137587386204387 |
58 | 17.75 | 17.7623261922852 | -0.0123261922852294 |
59 | 17.82 | 17.8010428012657 | 0.018957198734288 |
60 | 17.86 | 17.873016606156 | -0.0130166061559613 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 17.9116613299232 | 17.7823640559878 | 18.0409586038585 |
62 | 17.9633226598463 | 17.7707140348339 | 18.1559312848587 |
63 | 18.0149839897695 | 17.7669852811865 | 18.2629826983524 |
64 | 18.0666453196926 | 17.7661522524704 | 18.3671383869149 |
65 | 18.1183066496158 | 17.7663993866738 | 18.4702139125578 |
66 | 18.169967979539 | 17.7668628548389 | 18.573073104239 |
67 | 18.2216293094621 | 17.767070611046 | 18.6761880078782 |
68 | 18.2732906393853 | 17.766742719379 | 18.7798385593915 |
69 | 18.3249519693084 | 17.7657044715554 | 18.8841994670614 |
70 | 18.3766132992316 | 17.7638433725386 | 18.9893832259246 |
71 | 18.4282746291547 | 17.7610858099107 | 19.0954634483988 |
72 | 18.4799359590779 | 17.7573835087669 | 19.2024884093889 |