Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.838349047626254 |
beta | 0.166586826882942 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 1.72 | 1.68381677350427 | 0.0361832264957267 |
14 | 1.73 | 1.7300506659034 | -5.06659033958634e-05 |
15 | 1.74 | 1.74465083322386 | -0.00465083322386417 |
16 | 1.74 | 1.74266159568202 | -0.00266159568202218 |
17 | 1.75 | 1.75030165398822 | -0.000301653988219019 |
18 | 1.75 | 1.74946137213437 | 0.000538627865630747 |
19 | 1.75 | 1.77315076341316 | -0.0231507634131556 |
20 | 1.76 | 1.75583032222875 | 0.00416967777125499 |
21 | 1.79 | 1.77157960869852 | 0.0184203913014842 |
22 | 1.83 | 1.80184852059187 | 0.028151479408127 |
23 | 1.84 | 1.83462372431026 | 0.00537627568973575 |
24 | 1.85 | 1.8590561970957 | -0.00905619709570393 |
25 | 1.87 | 1.87597350355179 | -0.00597350355178494 |
26 | 1.87 | 1.88251797329288 | -0.012517973292884 |
27 | 1.87 | 1.88569128088713 | -0.0156912808871252 |
28 | 1.88 | 1.87299468786287 | 0.00700531213712563 |
29 | 1.88 | 1.88869736723302 | -0.00869736723301817 |
30 | 1.88 | 1.87935874307099 | 0.000641256929010181 |
31 | 1.88 | 1.89772345715901 | -0.017723457159011 |
32 | 1.89 | 1.88854603106944 | 0.00145396893056082 |
33 | 1.89 | 1.9031196395474 | -0.0131196395474034 |
34 | 1.89 | 1.90291261407479 | -0.0129126140747911 |
35 | 1.9 | 1.88623779318083 | 0.0137622068191743 |
36 | 1.89 | 1.90519639438884 | -0.0151963943888371 |
37 | 1.89 | 1.90643567955025 | -0.0164356795502503 |
38 | 1.89 | 1.89066143554196 | -0.000661435541962074 |
39 | 1.89 | 1.89242771262894 | -0.00242771262894137 |
40 | 1.89 | 1.88553792804707 | 0.00446207195293225 |
41 | 1.89 | 1.88723333050009 | 0.00276666949991355 |
42 | 1.89 | 1.88127941063241 | 0.00872058936759346 |
43 | 1.89 | 1.89684133704476 | -0.00684133704475776 |
44 | 1.89 | 1.89479933449808 | -0.00479933449807812 |
45 | 1.89 | 1.8958136903568 | -0.0058136903568029 |
46 | 1.89 | 1.89682443591707 | -0.00682443591707393 |
47 | 1.89 | 1.88547527543044 | 0.00452472456956232 |
48 | 1.89 | 1.88662800112939 | 0.00337199887061246 |
49 | 1.89 | 1.90044651682256 | -0.0104465168225609 |
50 | 1.89 | 1.89029240453859 | -0.000292404538592139 |
51 | 1.89 | 1.89018327742889 | -0.000183277428885686 |
52 | 1.89 | 1.88470304570904 | 0.00529695429096422 |
53 | 1.89 | 1.8853550979846 | 0.0046449020153998 |
54 | 1.89 | 1.88073134982845 | 0.00926865017154954 |
55 | 1.89 | 1.89310678374765 | -0.00310678374765039 |
56 | 1.9 | 1.893916933436 | 0.00608306656399682 |
57 | 1.9 | 1.90480158301176 | -0.00480158301176359 |
58 | 1.92 | 1.90754980335393 | 0.0124501966460746 |
59 | 1.93 | 1.91793833371153 | 0.0120616662884661 |
60 | 1.92 | 1.93002012001641 | -0.0100201200164072 |
61 | 1.95 | 1.93330408597073 | 0.0166959140292704 |
62 | 1.96 | 1.95426337836253 | 0.00573662163746658 |
63 | 1.96 | 1.96678547298752 | -0.00678547298752052 |
64 | 1.96 | 1.96329328564855 | -0.00329328564854658 |
65 | 1.96 | 1.96207572270727 | -0.00207572270726875 |
66 | 1.96 | 1.9570639992481 | 0.00293600075190126 |
67 | 1.97 | 1.96574437805009 | 0.00425562194990725 |
68 | 1.97 | 1.97885497594516 | -0.0088549759451626 |
69 | 1.97 | 1.97801323642524 | -0.00801323642524299 |
70 | 1.97 | 1.98296562258832 | -0.0129656225883212 |
71 | 1.97 | 1.97054238444753 | -0.000542384447528077 |
72 | 1.97 | 1.9652861453352 | 0.0047138546648049 |
73 | 1.98 | 1.9840968236538 | -0.00409682365379616 |
74 | 1.98 | 1.98180492029495 | -0.00180492029495172 |
75 | 1.98 | 1.98087908207054 | -0.000879082070544879 |
76 | 1.98 | 1.97862662170738 | 0.00137337829262307 |
77 | 1.98 | 1.97789350313404 | 0.00210649686596187 |
78 | 1.98 | 1.97415750026448 | 0.00584249973551576 |
79 | 1.97 | 1.98285318423465 | -0.0128531842346542 |
80 | 1.98 | 1.97447723653848 | 0.00552276346151803 |
81 | 1.98 | 1.98280904057023 | -0.00280904057023235 |
82 | 1.99 | 1.98903451995444 | 0.000965480045563183 |
83 | 2 | 1.98995494388368 | 0.0100450561163226 |
84 | 2 | 1.99555927850744 | 0.00444072149256258 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 2.01381350310678 | 1.99412927402158 | 2.03349773219199 |
86 | 2.01699559189348 | 1.98946230430981 | 2.04452887947715 |
87 | 2.01965357647839 | 1.98441016208321 | 2.05489699087356 |
88 | 2.02054598382565 | 1.97748053925143 | 2.06361142839988 |
89 | 2.02063197877639 | 1.96953599711339 | 2.07172796043938 |
90 | 2.0172917103347 | 1.95791399247758 | 2.07666942819181 |
91 | 2.01880899945553 | 1.95087896731716 | 2.0867390315939 |
92 | 2.02671587914308 | 1.94995494083582 | 2.10347681745034 |
93 | 2.0308364212161 | 1.94496392753569 | 2.11670891489652 |
94 | 2.0421849022542 | 1.94692140204521 | 2.13744840246319 |
95 | 2.04578669241748 | 1.94085574276087 | 2.1507176420741 |
96 | 2.04268399965559 | 1.92781316356258 | 2.1575548357486 |