Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.149518688899873 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 94.6 | 94.919856849353 | -0.319856849352945 |
14 | 95.9 | 96.3617041743281 | -0.461704174328105 |
15 | 104.7 | 105.090201458249 | -0.390201458249422 |
16 | 102.8 | 103.228104975216 | -0.428104975216129 |
17 | 98.1 | 98.3098622055097 | -0.209862205509722 |
18 | 113.9 | 113.70869326672 | 0.191306733280030 |
19 | 80.9 | 86.186058175999 | -5.28605817599895 |
20 | 95.7 | 94.5274095204302 | 1.17259047956985 |
21 | 113.2 | 111.907354275041 | 1.29264572495933 |
22 | 105.9 | 108.595572393490 | -2.69557239349042 |
23 | 108.8 | 101.766311366548 | 7.0336886334517 |
24 | 102.3 | 100.289801916555 | 2.01019808344506 |
25 | 99 | 93.432230297996 | 5.56776970200396 |
26 | 100.7 | 95.628212993495 | 5.07178700650498 |
27 | 115.5 | 105.290271001686 | 10.2097289983143 |
28 | 100.7 | 104.945952689777 | -4.2459526897772 |
29 | 109.9 | 99.575518963534 | 10.3244810364659 |
30 | 114.6 | 117.380159869492 | -2.78015986949163 |
31 | 85.4 | 83.8481389443058 | 1.55186105569418 |
32 | 100.5 | 99.2823614416082 | 1.21763855839184 |
33 | 114.8 | 117.455317038801 | -2.6553170388012 |
34 | 116.5 | 109.921803365637 | 6.57819663436301 |
35 | 112.9 | 112.783156856469 | 0.116843143531099 |
36 | 102 | 105.749217937900 | -3.74921793790038 |
37 | 106 | 100.899790878517 | 5.10020912148258 |
38 | 105.3 | 102.597715371357 | 2.70228462864254 |
39 | 118.8 | 116.454759617793 | 2.34524038220671 |
40 | 106.1 | 102.459278055813 | 3.64072194418722 |
41 | 109.3 | 110.700874128831 | -1.40087412883109 |
42 | 117.2 | 115.626901807880 | 1.5730981921198 |
43 | 92.5 | 86.1033472724347 | 6.39665272756531 |
44 | 104.2 | 102.267974863519 | 1.93202513648102 |
45 | 112.5 | 117.549583435051 | -5.04958343505081 |
46 | 122.4 | 117.475324743749 | 4.92467525625108 |
47 | 113.3 | 114.542942131052 | -1.24294213105208 |
48 | 100 | 103.868557811495 | -3.86855781149458 |
49 | 110.7 | 106.537112415201 | 4.16288758479921 |
50 | 112.8 | 106.035639434607 | 6.76436056539315 |
51 | 109.8 | 120.410727400431 | -10.6107274004306 |
52 | 117.3 | 105.560826389854 | 11.7391736101455 |
53 | 109.1 | 110.763744612496 | -1.66374461249593 |
54 | 115.9 | 118.263731328191 | -2.36373132819064 |
55 | 96 | 92.0389067413026 | 3.96109325869742 |
56 | 99.8 | 104.054004442563 | -4.25400444256285 |
57 | 116.8 | 112.376476851670 | 4.42352314833039 |
58 | 115.7 | 122.219811614452 | -6.51981161445212 |
59 | 99.4 | 112.412014768593 | -13.0120147685929 |
60 | 94.3 | 98.0422085770475 | -3.74220857704752 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 107.283324107706 | 97.392467790993 | 117.17418042442 |
62 | 108.281693399631 | 98.2785808314555 | 118.284805967807 |
63 | 106.804081909883 | 96.6976633658894 | 116.910500453877 |
64 | 112.229636447467 | 101.981675390702 | 122.477597504231 |
65 | 104.613675132305 | 94.3181698332825 | 114.909180431328 |
66 | 111.461710351872 | 100.992108041063 | 121.931312662682 |
67 | 91.7292885705867 | 81.3700653732765 | 102.088511767897 |
68 | 95.9416467171662 | 85.4236820238656 | 106.459611410467 |
69 | 111.622270349227 | 100.752042590325 | 122.492498108128 |
70 | 111.454141710823 | 100.484419359337 | 122.423864062309 |
71 | 97.434419716843 | 86.6295328862718 | 108.239306547414 |
72 | 92.9636262894019 | 17.9729655925062 | 167.954286986298 |