Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999933893038648 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 2.09 | 2.08 | 0.00999999999999979 |
3 | 2.36 | 2.08999933893039 | 0.270000661069614 |
4 | 2.99 | 2.35998215107673 | 0.630017848923267 |
5 | 2.75 | 2.98995835143441 | -0.239958351434411 |
6 | 1.58 | 2.75001586291746 | -1.17001586291746 |
7 | 1.69 | 1.58007734619343 | 0.109922653806569 |
8 | 1.3 | 1.68999273334737 | -0.389992733347373 |
9 | 1.97 | 1.30002578123455 | 0.669974218765449 |
10 | 1.84 | 1.96995571004021 | -0.129955710040213 |
11 | 1.96 | 1.8400085909771 | 0.119991409022899 |
12 | 1.86 | 1.95999206773256 | -0.099992067732561 |
13 | 2.75 | 1.86000661017176 | 0.889993389828243 |
14 | 2.62 | 2.74994116524137 | -0.129941165241375 |
15 | 2.41 | 2.62000859001559 | -0.210008590015589 |
16 | 3.61 | 2.41001388302974 | 1.19998611697026 |
17 | 2.03 | 3.60992067256414 | -1.57992067256414 |
18 | 1.45 | 2.03010444375484 | -0.58010444375484 |
19 | 1.4 | 1.45003834894204 | -0.0500383489420435 |
20 | 1.3 | 1.4000033078832 | -0.1000033078832 |
21 | 1.58 | 1.30000661091481 | 0.279993389085191 |
22 | 2.1 | 1.57998149048785 | 0.520018509512151 |
23 | 2.27 | 2.09996562315649 | 0.170034376843511 |
24 | 2.54 | 2.26998875954402 | 0.270011240455978 |
25 | 2.55 | 2.53998215037736 | 0.0100178496226371 |
26 | 2.05 | 2.5499993377504 | -0.499999337750402 |
27 | 2.32 | 2.0500330534369 | 0.269966946563104 |
28 | 2.6 | 2.3199821533055 | 0.280017846694503 |
29 | 2.1 | 2.59998148887103 | -0.499981488871031 |
30 | 1.61 | 2.10003305225696 | -0.490033052256961 |
31 | 1.55 | 1.61003239459605 | -0.0600323945960466 |
32 | 1.12 | 1.55000396855919 | -0.430003968559189 |
33 | 1.39 | 1.12002842625573 | 0.269971573744269 |
34 | 2.18 | 1.38998215299961 | 0.790017847000392 |
35 | 1.94 | 2.17994777432072 | -0.239947774320721 |
36 | 2.27 | 1.94001586221824 | 0.329984137781757 |
37 | 2.41 | 2.26997818575136 | 0.140021814248643 |
38 | 2.2 | 2.40999074358334 | -0.209990743583337 |
39 | 2.58 | 2.20001388184997 | 0.379986118150029 |
40 | 2.9 | 2.57997488027237 | 0.320025119727627 |
41 | 2.12 | 2.89997884411178 | -0.779978844111778 |
42 | 1.34 | 2.1200515620313 | -0.780051562031303 |
43 | 1.07 | 1.34005156683846 | -0.270051566838464 |
44 | 0.86 | 1.07001785228849 | -0.210017852288492 |
45 | 1 | 0.860013883642044 | 0.139986116357956 |
46 | 1.54 | 0.999990745943216 | 0.540009254056784 |
47 | 1.29 | 1.53996430162911 | -0.249964301629112 |
48 | 1.44 | 1.29001652438043 | 0.149983475619573 |
49 | 2.6 | 1.43999008504817 | 1.16000991495183 |
50 | 2.77 | 2.59992331526938 | 0.170076684730615 |
51 | 3.31 | 2.76998875674718 | 0.540011243252824 |
52 | 3.2 | 3.30996430149761 | -0.109964301497612 |
53 | 2.07 | 3.20000726940583 | -1.13000726940583 |
54 | 1.42 | 2.07007470134689 | -0.650074701346886 |
55 | 1.43 | 1.42004297446316 | 0.00995702553684241 |
56 | 1.28 | 1.4299993417713 | -0.149999341771297 |
57 | 1.59 | 1.28000991600069 | 0.309990083999311 |
58 | 1.68 | 1.5899795074975 | 0.0900204925025021 |
59 | 2.01 | 1.67999404901878 | 0.330005950981219 |
60 | 2.52 | 2.00997818430935 | 0.510021815690648 |
61 | 2.74 | 2.51996628400754 | 0.220033715992459 |
62 | 3.06 | 2.73998545423964 | 0.320014545760359 |
63 | 2.69 | 3.05997884481079 | -0.369978844810791 |
64 | 2.32 | 2.6900244581772 | -0.370024458177195 |
65 | 1.67 | 2.32002446119256 | -0.650024461192556 |
66 | 1.04 | 1.67004297114193 | -0.630042971141934 |
67 | 0.98 | 1.04004165022634 | -0.0600416502263434 |
68 | 0.86 | 0.980003969171051 | -0.120003969171051 |
69 | 0.97 | 0.860007933097752 | 0.109992066902248 |
70 | 1.3 | 0.969992728758684 | 0.330007271241316 |
71 | 1.82 | 1.29997818422207 | 0.520021815777926 |
72 | 1.99 | 1.81996562293792 | 0.170034377062078 |
73 | 2.7 | 1.98998875954401 | 0.710011240455993 |
74 | 2.86 | 2.69995306331437 | 0.160046936685632 |
75 | 2.91 | 2.85998941978334 | 0.0500105802166582 |
76 | 2.56 | 2.90999669395251 | -0.349996693952506 |
77 | 2.05 | 2.56002313721792 | -0.51002313721792 |
78 | 1.62 | 2.05003371607982 | -0.43003371607982 |
79 | 1.26 | 1.62002842822225 | -0.360028428222249 |
80 | 1.44 | 1.26002380038539 | 0.17997619961461 |
81 | 1.27 | 1.43998810232033 | -0.169988102320328 |
82 | 1.64 | 1.27001123739691 | 0.36998876260309 |
83 | 1.84 | 1.63997554116717 | 0.20002445883283 |
84 | 2.1 | 1.83998677699083 | 0.260013223009169 |
85 | 2.79 | 2.09998281131592 | 0.690017188684084 |
86 | 2.84 | 2.78995438506038 | 0.0500456149396244 |
87 | 2.76 | 2.83999669163647 | -0.0799966916364672 |
88 | 2.67 | 2.7600052883382 | -0.0900052883382023 |
89 | 2.1 | 2.67000594997612 | -0.570005949976117 |
90 | 1.55 | 2.10003768136131 | -0.550037681361305 |
91 | 1.42 | 1.55003636131974 | -0.130036361319744 |
92 | 1.12 | 1.42000859630871 | -0.300008596308712 |
93 | 1.12 | 1.12001983265668 | -1.98326566815954e-05 |
94 | 1.41 | 1.12000000131108 | 0.289999998688923 |
95 | 1.56 | 1.40998082898129 | 0.150019171018706 |
96 | 1.8 | 1.55999008268846 | 0.240009917311541 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
97 | 1.79998413367367 | 0.882330168066881 | 2.71763809928046 |
98 | 1.79998413367367 | 0.502268344679723 | 3.09769992266762 |
99 | 1.79998413367367 | 0.210630888666602 | 3.38933737868074 |
100 | 1.79998413367367 | -0.035232803319015 | 3.63520107066636 |
101 | 1.79998413367367 | -0.251843996125493 | 3.85181226347284 |
102 | 1.79998413367367 | -0.447676014712968 | 4.04764428206031 |
103 | 1.79998413367367 | -0.627762478115905 | 4.22773074546325 |
104 | 1.79998413367367 | -0.795383100354316 | 4.39535136770166 |
105 | 1.79998413367367 | -0.952815994900215 | 4.55278426224756 |
106 | 1.79998413367367 | -1.1017198512784 | 4.70168811862574 |
107 | 1.79998413367367 | -1.24334685139795 | 4.8433151187453 |
108 | 1.79998413367367 | -1.3786698193554 | 4.97863808670275 |