Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0533214777581741 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 62.9 | 65.6 | -2.7 |
4 | 63.5 | 63.0560320100529 | 0.443967989947076 |
5 | 62.1 | 63.6797050393542 | -1.57970503935423 |
6 | 59.3 | 62.1954728322338 | -2.89547283223384 |
7 | 61.6 | 59.2410819420105 | 2.35891805798953 |
8 | 61.5 | 61.6668629387729 | -0.166862938772923 |
9 | 60.1 | 61.5579655602945 | -1.45796556029448 |
10 | 59.5 | 60.0802246820991 | -0.58022468209905 |
11 | 62.7 | 59.4492862446178 | 3.25071375538224 |
12 | 65.5 | 62.8226191058236 | 2.67738089417643 |
13 | 63.8 | 65.7653810116226 | -1.96538101162255 |
14 | 63.8 | 63.960583991725 | -0.160583991724984 |
15 | 62.7 | 63.9520214159819 | -1.2520214159819 |
16 | 62.3 | 62.7852617838969 | -0.485261783896874 |
17 | 62.4 | 62.3593869084799 | 0.0406130915200862 |
18 | 64.8 | 62.4615524585361 | 2.3384475414639 |
19 | 66.4 | 64.9862419371069 | 1.41375806289309 |
20 | 65.1 | 66.6616256062129 | -1.56162560621293 |
21 | 67.4 | 65.2783574211846 | 2.12164257881537 |
22 | 68.8 | 67.6914865387617 | 1.10851346123826 |
23 | 68.6 | 69.1505941146298 | -0.550594114629789 |
24 | 71.5 | 68.9212356227928 | 2.57876437720724 |
25 | 75 | 71.9587391501756 | 3.0412608498244 |
26 | 84.3 | 75.6209036729363 | 8.67909632706368 |
27 | 84 | 85.3836859147009 | -1.38368591470089 |
28 | 79.1 | 85.0099057369759 | -5.90990573697587 |
29 | 78.8 | 79.7947808296688 | -0.994780829668798 |
30 | 82.7 | 79.4417376457854 | 3.25826235421464 |
31 | 85.3 | 83.5154730094359 | 1.78452699056407 |
32 | 84.5 | 86.2106266256721 | -1.71062662567213 |
33 | 80.8 | 85.3194134860988 | -4.51941348609883 |
34 | 70.1 | 81.3784316804198 | -11.2784316804198 |
35 | 68.2 | 70.0770490364252 | -1.87704903642521 |
36 | 68.1 | 68.0769620079785 | 0.0230379920215142 |
37 | 72.3 | 67.9781904277576 | 4.32180957224236 |
38 | 73.1 | 72.408635700739 | 0.691364299260968 |
39 | 71.5 | 73.2455002668449 | -1.74550026684486 |
40 | 74.1 | 71.5524276131894 | 2.54757238681059 |
41 | 80.3 | 74.2882679375501 | 6.01173206244994 |
42 | 80.6 | 80.8088223750061 | -0.208822375006093 |
43 | 81.4 | 81.0976876573818 | 0.302312342618208 |
44 | 87.4 | 81.9138073982347 | 5.48619260176527 |
45 | 89.3 | 88.2063392950268 | 1.09366070497317 |
46 | 93.2 | 90.164654899982 | 3.03534510001796 |
47 | 92.8 | 94.226503986221 | -1.42650398622104 |
48 | 96.8 | 93.7504406856478 | 3.04955931435221 |
49 | 100.3 | 97.9130476948003 | 2.38695230519974 |
50 | 95.6 | 101.540323519052 | -5.94032351905179 |
51 | 89 | 96.5235766906543 | -7.52357669065431 |
52 | 87.4 | 89.5224084634817 | -2.12240846348166 |
53 | 86.7 | 87.8092385078024 | -1.10923850780237 |
54 | 92.8 | 87.0500922713801 | 5.74990772861992 |
55 | 98.6 | 93.4566858484432 | 5.14331415155675 |
56 | 100.8 | 99.5309349595788 | 1.26906504042122 |
57 | 105.5 | 101.798603382905 | 3.70139661709473 |
58 | 107.8 | 106.695967320298 | 1.10403267970213 |
59 | 113.7 | 109.054835974273 | 4.6451640257271 |
60 | 120.3 | 115.202522984554 | 5.09747701544622 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 122.074327991856 | 115.238882110821 | 128.909773872891 |
62 | 123.848655983711 | 113.920806439478 | 133.776505527945 |
63 | 125.622983975567 | 113.141705428864 | 138.10426252227 |
64 | 127.397311967423 | 112.6105151955 | 142.184108739345 |
65 | 129.171639959279 | 112.217908333662 | 146.125371584895 |
66 | 130.945967951134 | 111.909503690208 | 149.982432212061 |
67 | 132.72029594299 | 111.653997953888 | 153.786593932092 |
68 | 134.494623934846 | 111.431655351486 | 157.557592518206 |
69 | 136.268951926701 | 111.229233799075 | 161.308670054327 |
70 | 138.043279918557 | 111.037438167435 | 165.049121669679 |
71 | 139.817607910413 | 110.849518228431 | 168.785697592394 |
72 | 141.591935902268 | 110.660441225479 | 172.523430579058 |