Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.927762771241466 |
beta | 0.198109645413317 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 2.01 | 2.03072115384615 | -0.0207211538461549 |
14 | 2.01 | 2.00748144002278 | 0.00251855997722172 |
15 | 2.01 | 2.00626557568381 | 0.0037344243161872 |
16 | 2 | 1.99728079421496 | 0.00271920578504181 |
17 | 2 | 1.99827058408908 | 0.0017294159109249 |
18 | 1.99 | 1.98907661492225 | 0.000923385077747696 |
19 | 1.99 | 1.98430455738235 | 0.00569544261764721 |
20 | 1.99 | 1.98958998575807 | 0.000410014241930323 |
21 | 1.98 | 1.97963048389671 | 0.000369516103292167 |
22 | 1.97 | 1.97928465930258 | -0.00928465930257993 |
23 | 1.97 | 1.96827554137208 | 0.00172445862792125 |
24 | 1.96 | 1.96779722654822 | -0.00779722654821624 |
25 | 1.96 | 1.94555508744653 | 0.0144449125534722 |
26 | 1.96 | 1.95977894513417 | 0.000221054865829018 |
27 | 1.96 | 1.95925612495126 | 0.000743875048742071 |
28 | 1.95 | 1.94961058059993 | 0.000389419400073532 |
29 | 1.94 | 1.95012626385646 | -0.0101262638564608 |
30 | 1.94 | 1.92945463390813 | 0.0105453660918706 |
31 | 1.93 | 1.93530254343693 | -0.00530254343692627 |
32 | 1.93 | 1.92932956005059 | 0.000670439949406409 |
33 | 1.93 | 1.91898352686913 | 0.0110164731308733 |
34 | 1.92 | 1.92914984006377 | -0.00914984006376707 |
35 | 1.92 | 1.92041752849116 | -0.000417528491158947 |
36 | 1.9 | 1.9182269009656 | -0.0182269009656035 |
37 | 1.9 | 1.886961010909 | 0.0130389890910043 |
38 | 1.9 | 1.89764040830256 | 0.0023595916974426 |
39 | 1.9 | 1.89831986567758 | 0.00168013432242087 |
40 | 1.89 | 1.88886988183789 | 0.00113011816211439 |
41 | 1.88 | 1.88880181242994 | -0.00880181242994271 |
42 | 1.88 | 1.87058433140664 | 0.0094156685933584 |
43 | 1.87 | 1.87376381453316 | -0.00376381453316266 |
44 | 1.86 | 1.86945716870631 | -0.0094571687063083 |
45 | 1.86 | 1.84840833457007 | 0.0115916654299335 |
46 | 1.85 | 1.85570309936632 | -0.00570309936631874 |
47 | 1.83 | 1.84948441830759 | -0.0194844183075893 |
48 | 1.82 | 1.82349834477349 | -0.00349834477348709 |
49 | 1.8 | 1.80604331658941 | -0.00604331658940715 |
50 | 1.8 | 1.79262780162109 | 0.0073721983789079 |
51 | 1.79 | 1.79321038811514 | -0.00321038811513552 |
52 | 1.78 | 1.77358625742501 | 0.00641374257498684 |
53 | 1.78 | 1.77307663592639 | 0.0069233640736075 |
54 | 1.78 | 1.7690285894445 | 0.010971410555505 |
55 | 1.77 | 1.77124954700737 | -0.0012495470073739 |
56 | 1.77 | 1.76787655639738 | 0.00212344360261807 |
57 | 1.76 | 1.76023307832219 | -0.00023307832219488 |
58 | 1.75 | 1.75427537268716 | -0.00427537268715872 |
59 | 1.75 | 1.74761558586639 | 0.00238441413360846 |
60 | 1.75 | 1.74632268158529 | 0.0036773184147143 |
61 | 1.75 | 1.73990929381816 | 0.0100907061818423 |
62 | 1.75 | 1.7499650063908 | 3.49936092007841e-05 |
63 | 1.74 | 1.74916096388099 | -0.00916096388099419 |
64 | 1.74 | 1.72980263579681 | 0.0101973642031861 |
65 | 1.74 | 1.73862686090827 | 0.00137313909172843 |
66 | 1.74 | 1.73448854722002 | 0.00551145277997622 |
67 | 1.73 | 1.73452422292915 | -0.00452422292915178 |
68 | 1.73 | 1.73151795586241 | -0.00151795586240877 |
69 | 1.73 | 1.72281780008888 | 0.00718219991111613 |
70 | 1.73 | 1.72730253406541 | 0.00269746593458664 |
71 | 1.73 | 1.73272939559088 | -0.0027293955908827 |
72 | 1.72 | 1.73098199671585 | -0.0109819967158451 |
73 | 1.71 | 1.7129336754931 | -0.00293367549309709 |
74 | 1.71 | 1.70928773771625 | 0.000712262283754761 |
75 | 1.71 | 1.7076805134186 | 0.00231948658139758 |
76 | 1.7 | 1.70171456836556 | -0.00171456836556105 |
77 | 1.7 | 1.69800336649949 | 0.00199663350050594 |
78 | 1.7 | 1.69401050368088 | 0.0059894963191156 |
79 | 1.7 | 1.69312066044991 | 0.00687933955008502 |
80 | 1.7 | 1.70236323854667 | -0.0023632385466672 |
81 | 1.69 | 1.69480385424044 | -0.00480385424044405 |
82 | 1.68 | 1.68693790496287 | -0.00693790496287483 |
83 | 1.67 | 1.68035593379931 | -0.0103559337993102 |
84 | 1.65 | 1.66685755060263 | -0.0168575506026325 |
85 | 1.61 | 1.63878035710017 | -0.0287803571001695 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
86 | 1.60150847439988 | 1.5853706468716 | 1.61764630192816 |
87 | 1.58931589977176 | 1.5651869115552 | 1.61344488798833 |
88 | 1.57043965239783 | 1.53851477396908 | 1.60236453082659 |
89 | 1.55843542562462 | 1.51857323180532 | 1.59829761944393 |
90 | 1.54235979062877 | 1.49430572087092 | 1.59041386038661 |
91 | 1.5243577302526 | 1.46781225401399 | 1.58090320649121 |
92 | 1.51366617570973 | 1.44831189557359 | 1.57902045584587 |
93 | 1.49567329384589 | 1.42118730579965 | 1.57015928189212 |
94 | 1.4805432472163 | 1.39660322112547 | 1.56448327330714 |
95 | 1.46985949877724 | 1.37614677672424 | 1.56357222083023 |
96 | 1.45711111608624 | 1.35331228687163 | 1.56090994530085 |
97 | 1.43852266618254 | 1.32433032124163 | 1.55271501112344 |