Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.832244655997629 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1.44 | 1.39936959226552 | 0.0406304077344832 |
14 | 1.43 | 1.43222568321503 | -0.00222568321502603 |
15 | 1.43 | 1.44691747022395 | -0.0169174702239521 |
16 | 1.42 | 1.43530576230229 | -0.015305762302293 |
17 | 1.45 | 1.44938130942394 | 0.000618690576056791 |
18 | 1.51 | 1.50262285920117 | 0.00737714079883212 |
19 | 1.48 | 1.58252319248858 | -0.102523192488575 |
20 | 1.48 | 1.53795611878566 | -0.057956118785659 |
21 | 1.45 | 1.55679222519364 | -0.106792225193637 |
22 | 1.38 | 1.21177116346434 | 0.168228836535661 |
23 | 1.46 | 1.27046016415022 | 0.189539835849779 |
24 | 1.45 | 1.48680177534671 | -0.0368017753467114 |
25 | 1.41 | 1.49563469888821 | -0.0856346988882077 |
26 | 1.45 | 1.41629842178247 | 0.0337015782175296 |
27 | 1.47 | 1.45854598942251 | 0.0114540105774863 |
28 | 1.47 | 1.47088473409143 | -0.000884734091433304 |
29 | 1.53 | 1.5007001754095 | 0.0292998245905012 |
30 | 1.56 | 1.58176760510247 | -0.0217676051024722 |
31 | 1.66 | 1.61995425313775 | 0.0400457468622526 |
32 | 1.79 | 1.70690503191163 | 0.083094968088373 |
33 | 1.78 | 1.84558002803356 | -0.0655800280335641 |
34 | 1.46 | 1.52816210958135 | -0.0681621095813516 |
35 | 1.41 | 1.38483969312771 | 0.0251603068722863 |
36 | 1.43 | 1.42549103602695 | 0.004508963973054 |
37 | 1.43 | 1.45934659492766 | -0.0293465949276617 |
38 | 1.45 | 1.44698696732681 | 0.0030130326731892 |
39 | 1.35 | 1.45994564228532 | -0.109945642285324 |
40 | 1.35 | 1.36908068409795 | -0.0190806840979481 |
41 | 1.29 | 1.38585674663312 | -0.0958567466331162 |
42 | 1.29 | 1.34700944070806 | -0.0570094407080599 |
43 | 1.26 | 1.35486258901052 | -0.0948625890105175 |
44 | 1.3 | 1.3220767259878 | -0.022076725987803 |
45 | 1.3 | 1.33570274009453 | -0.0357027400945258 |
46 | 1.16 | 1.11231498521556 | 0.0476850147844425 |
47 | 1.24 | 1.09583542815109 | 0.144164571848911 |
48 | 1.15 | 1.22973039949716 | -0.0797303994971597 |
49 | 1.21 | 1.18304817440093 | 0.0269518255990722 |
50 | 1.22 | 1.22011424323695 | -0.000114243236949196 |
51 | 1.17 | 1.2117209712668 | -0.0417209712668005 |
52 | 1.13 | 1.19072093401558 | -0.060720934015577 |
53 | 1.15 | 1.15594860160409 | -0.0059486016040935 |
54 | 1.2 | 1.19294006045426 | 0.00705993954573625 |
55 | 1.23 | 1.24333525132073 | -0.0133352513207263 |
56 | 1.25 | 1.28925535441567 | -0.0392553544156653 |
57 | 1.38 | 1.285147235184 | 0.0948527648159991 |
58 | 1.28 | 1.17528990393289 | 0.104710096067112 |
59 | 1.26 | 1.21638665574786 | 0.04361334425214 |
60 | 1.25 | 1.22803314352468 | 0.0219668564753195 |
61 | 1.26 | 1.28699776635124 | -0.0269977663512397 |
62 | 1.28 | 1.27511051411452 | 0.00488948588548244 |
63 | 1.31 | 1.26297770233438 | 0.0470222976656154 |
64 | 1.22 | 1.31341215481965 | -0.0934121548196463 |
65 | 1.23 | 1.26301622025122 | -0.033016220251219 |
66 | 1.36 | 1.28299389441997 | 0.0770061055800306 |
67 | 1.54 | 1.39328858503506 | 0.146711414964938 |
68 | 1.58 | 1.58025355685031 | -0.000253556850313252 |
69 | 1.44 | 1.64363881379831 | -0.203638813798306 |
70 | 1.29 | 1.27300141469087 | 0.0169985853091301 |
71 | 1.28 | 1.23032768216855 | 0.0496723178314482 |
72 | 1.23 | 1.24307519173348 | -0.0130751917334806 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 1.26411049955603 | 1.12401926799567 | 1.40420173111638 |
74 | 1.28009288447999 | 1.09684456296017 | 1.4633412059998 |
75 | 1.27072112331431 | 1.05438573070373 | 1.48705651592489 |
76 | 1.25785348656667 | 1.01368864524161 | 1.50201832789172 |
77 | 1.29638889512768 | 1.01961190260455 | 1.57316588765082 |
78 | 1.36525112676719 | 1.05223183601853 | 1.67827041751585 |
79 | 1.42138720480066 | 1.07584352971242 | 1.76693087988889 |
80 | 1.45843957649238 | 1.08546229090608 | 1.83141686207867 |
81 | 1.48196127434101 | 1.08549786191597 | 1.87842468676606 |
82 | 1.31301981548836 | 0.940986193004238 | 1.68505343797248 |
83 | 1.26050077559271 | 0.883992850040376 | 1.63700870114505 |
84 | 1.22194915632537 | -176.616407388419 | 179.06030570107 |