Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.874062409366971 |
beta | 0.104535919024592 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 165 | 149.557959401709 | 15.4420405982906 |
14 | 173 | 172.640025387546 | 0.359974612453669 |
15 | 167 | 168.363982316763 | -1.36398231676347 |
16 | 161 | 162.581464983391 | -1.58146498339147 |
17 | 151 | 152.922687653636 | -1.92268765363627 |
18 | 163 | 164.873316013435 | -1.87331601343536 |
19 | 158 | 162.862598332247 | -4.86259833224653 |
20 | 152 | 148.46142794204 | 3.53857205795993 |
21 | 176 | 176.060060692617 | -0.0600606926173839 |
22 | 170 | 173.29944269689 | -3.2994426968898 |
23 | 168 | 176.405929556026 | -8.40592955602571 |
24 | 164 | 158.489304047142 | 5.51069595285847 |
25 | 185 | 190.518261825438 | -5.51826182543761 |
26 | 186 | 191.600547777861 | -5.60054777786058 |
27 | 184 | 179.573138221568 | 4.42686177843231 |
28 | 179 | 177.029518581964 | 1.97048141803569 |
29 | 171 | 168.96166371623 | 2.03833628377001 |
30 | 187 | 183.27188673354 | 3.72811326645953 |
31 | 191 | 185.183707328696 | 5.81629267130444 |
32 | 176 | 181.55331987906 | -5.55331987905967 |
33 | 204 | 200.299876596675 | 3.70012340332531 |
34 | 196 | 200.309513754014 | -4.30951375401381 |
35 | 193 | 201.689325247976 | -8.68932524797589 |
36 | 179 | 185.051014808082 | -6.0510148080815 |
37 | 195 | 204.30234563926 | -9.30234563925984 |
38 | 201 | 200.437978259309 | 0.562021740691108 |
39 | 192 | 193.994181471391 | -1.99418147139085 |
40 | 181 | 183.876436669793 | -2.87643666979326 |
41 | 171 | 169.485369024861 | 1.51463097513852 |
42 | 177 | 181.407546570152 | -4.40754657015239 |
43 | 176 | 173.584809518029 | 2.41519048197102 |
44 | 155 | 162.352559564808 | -7.35255956480839 |
45 | 173 | 177.330201360827 | -4.33020136082749 |
46 | 167 | 165.216757462987 | 1.78324253701294 |
47 | 164 | 167.831774385888 | -3.83177438588831 |
48 | 152 | 152.676706986618 | -0.676706986617916 |
49 | 173 | 173.612286895238 | -0.612286895238213 |
50 | 162 | 176.776119903521 | -14.7761199035211 |
51 | 158 | 153.392699974185 | 4.60730002581508 |
52 | 154 | 146.325928294044 | 7.67407170595615 |
53 | 151 | 140.065648919928 | 10.934351080072 |
54 | 160 | 158.692098430905 | 1.30790156909526 |
55 | 160 | 156.463158041378 | 3.53684195862209 |
56 | 143 | 144.822560123293 | -1.82256012329285 |
57 | 170 | 165.361061736334 | 4.6389382636664 |
58 | 166 | 163.02330320914 | 2.97669679085985 |
59 | 153 | 167.249564125411 | -14.2495641254107 |
60 | 144 | 143.709389103903 | 0.290610896097007 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 165.910312036243 | 154.582293908862 | 177.238330163624 |
62 | 168.29324212888 | 152.547453780263 | 184.039030477497 |
63 | 162.083961125261 | 142.304006467522 | 181.863915783 |
64 | 152.773157048524 | 129.100030424598 | 176.446283672451 |
65 | 140.911478356038 | 113.387244175592 | 168.435712536484 |
66 | 148.464835629067 | 117.081896023371 | 179.847775234764 |
67 | 144.950455728853 | 109.673326024091 | 180.227585433615 |
68 | 128.797363231203 | 89.5738106666367 | 168.02091579577 |
69 | 151.163046875532 | 107.930360770447 | 194.395732980617 |
70 | 143.557769262324 | 96.2465363544522 | 190.869002170195 |
71 | 141.737335253825 | 90.273828058712 | 193.200842448937 |
72 | 132.509876577932 | 76.8176217181563 | 188.202131437708 |