Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.355246105637169 |
beta | 0.225624128865559 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 114.8 | 115.3 | -0.500000000000014 |
4 | 103.4 | 128.682300900623 | -25.2823009006228 |
5 | 96.4 | 131.234356581565 | -34.8343565815653 |
6 | 110 | 127.601035088618 | -17.6010350886178 |
7 | 71.1 | 128.67902413985 | -57.57902413985 |
8 | 79.4 | 110.939908964968 | -31.5399089649679 |
9 | 119.2 | 99.9230983299301 | 19.2769016700699 |
10 | 99.1 | 108.503845791563 | -9.40384579156283 |
11 | 113.2 | 106.142131487142 | 7.05786851285839 |
12 | 103.6 | 110.19408001573 | -6.5940800157298 |
13 | 97.5 | 108.867697679734 | -11.3676976797344 |
14 | 102.4 | 104.934361495846 | -2.53436149584559 |
15 | 120.8 | 103.935899212459 | 16.8641007875407 |
16 | 89.5 | 111.180358087258 | -21.6803580872575 |
17 | 101.7 | 102.994321972666 | -1.294321972666 |
18 | 112.5 | 101.946603181885 | 10.553396818115 |
19 | 72.4 | 105.953617196682 | -33.5536171966823 |
20 | 84.7 | 91.6023936014691 | -6.9023936014691 |
21 | 117.2 | 86.1656721042439 | 31.0343278957561 |
22 | 112.8 | 96.6932895188823 | 16.1067104811177 |
23 | 111.3 | 103.208915538824 | 8.09108446117578 |
24 | 102.3 | 107.52553898609 | -5.22553898608969 |
25 | 95.2 | 106.692645926076 | -11.4926459260765 |
26 | 103 | 102.712227905591 | 0.287772094409362 |
27 | 116.4 | 102.939823045368 | 13.460176954632 |
28 | 95.1 | 108.925725070258 | -13.8257250702581 |
29 | 100.7 | 104.110255858764 | -3.41025585876355 |
30 | 112.4 | 102.721502377891 | 9.67849762210903 |
31 | 75.3 | 106.758229441386 | -31.4582294413859 |
32 | 93.3 | 93.6598514814247 | -0.359851481424698 |
33 | 118.6 | 91.580208333925 | 27.019791666075 |
34 | 118.7 | 101.392769645938 | 17.3072303540616 |
35 | 110.7 | 109.142192115038 | 1.55780788496247 |
36 | 113.3 | 111.421555148609 | 1.87844485139097 |
37 | 89.5 | 113.965384502472 | -24.4653845024719 |
38 | 106.3 | 105.189719294013 | 1.11028070598707 |
39 | 115.1 | 105.588700872472 | 9.51129912752836 |
40 | 105.7 | 109.734462061905 | -4.03446206190485 |
41 | 95.8 | 108.744773762037 | -12.9447737620369 |
42 | 114.7 | 103.552181218727 | 11.147818781273 |
43 | 79.6 | 107.811909360142 | -28.2119093601421 |
44 | 80.6 | 95.8280037743317 | -15.2280037743317 |
45 | 125 | 87.2360237073308 | 37.7639762926692 |
46 | 127.5 | 100.496099933423 | 27.0039000665772 |
47 | 99.5 | 112.098120096502 | -12.5981200965022 |
48 | 104.3 | 108.621911126206 | -4.32191112620568 |
49 | 90 | 107.739382939014 | -17.7393829390142 |
50 | 96 | 100.668501469655 | -4.66850146965523 |
51 | 108.9 | 97.8668095750172 | 11.0331904249828 |
52 | 95.8 | 101.527415884188 | -5.72741588418776 |
53 | 87.2 | 98.774817702637 | -11.574817702637 |
54 | 108.4 | 93.0172069306693 | 15.3827930693307 |
55 | 74.9 | 98.0691454652223 | -23.1691454652223 |
56 | 80.8 | 87.5686024658359 | -6.7686024658359 |
57 | 119.1 | 82.351770842201 | 36.748229157799 |
58 | 107.9 | 95.5395716678814 | 12.3604283321186 |
59 | 106.9 | 101.054415427829 | 5.84558457217081 |
60 | 96.8 | 104.723422152174 | -7.92342215217444 |
61 | 93.7 | 102.865963989056 | -9.16596398905551 |
62 | 95.2 | 99.832426478133 | -4.63242647813303 |
63 | 112.7 | 98.0381118342916 | 14.6618881657084 |
64 | 98.5 | 104.273208354146 | -5.77320835414582 |
65 | 91.5 | 102.786081683415 | -11.2860816834153 |
66 | 112 | 98.4359251615726 | 13.5640748384274 |
67 | 76.7 | 104.000878958088 | -27.3008789580878 |
68 | 84.7 | 92.8604944689162 | -8.16049446891623 |
69 | 114.9 | 87.8655763173654 | 27.0344236826346 |
70 | 108.4 | 97.5403814217541 | 10.8596185782459 |
71 | 104.6 | 102.33957116287 | 2.26042883712984 |
72 | 111.3 | 104.265110339458 | 7.03488966054179 |
73 | 90.8 | 108.450619261222 | -17.650619261222 |
74 | 109.1 | 102.451963194255 | 6.64803680574525 |
75 | 121 | 105.618164132396 | 15.3818358676043 |
76 | 95.2 | 113.119899515454 | -17.9198995154544 |
77 | 110.5 | 107.355005638107 | 3.14499436189284 |
78 | 102.4 | 109.325411157295 | -6.92541115729549 |
79 | 86.7 | 107.16325813365 | -20.4632581336502 |
80 | 99.1 | 98.5516647215319 | 0.548335278468045 |
81 | 126 | 97.4483082625996 | 28.5516917374004 |
82 | 110.3 | 108.581512985264 | 1.71848701473597 |
83 | 104.6 | 110.320066559663 | -5.720066559663 |
84 | 103.1 | 108.957627637656 | -5.85762763765619 |
85 | 102 | 107.076819562545 | -5.07681956254534 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
86 | 105.066472801051 | 70.9257391018018 | 139.2072065003 |
87 | 104.859646418173 | 67.6232073900714 | 142.096085446275 |
88 | 104.652820035296 | 63.4659661987051 | 145.839673871887 |
89 | 104.445993652418 | 58.5114789496276 | 150.380508355209 |
90 | 104.239167269541 | 52.8349178475851 | 155.643416691497 |
91 | 104.032340886663 | 46.5120408788718 | 161.552640894455 |
92 | 103.825514503786 | 39.6108733765126 | 168.040155631059 |
93 | 103.618688120908 | 32.1891504207559 | 175.048225821061 |
94 | 103.411861738031 | 24.2946233704422 | 182.529100105619 |
95 | 103.205035355153 | 15.9664422971382 | 190.443628413168 |
96 | 102.998208972276 | 7.23673800085476 | 198.759679943697 |
97 | 102.791382589398 | -1.86794737973227 | 207.450712558529 |