Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.821375270652587 |
beta | 0.142888673652822 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 7.84 | 7.62 | 0.22 |
4 | 7.79 | 7.77652290860242 | 0.0134770913975801 |
5 | 7.83 | 7.76499474909277 | 0.0650052509072347 |
6 | 7.94 | 7.80341990131514 | 0.136580098684858 |
7 | 8.02 | 7.91666461724158 | 0.103335382758421 |
8 | 8.06 | 8.01473092586686 | 0.0452690741331381 |
9 | 8.12 | 8.07041601950966 | 0.0495839804903397 |
10 | 8.13 | 8.13546470545666 | -0.00546470545666189 |
11 | 7.97 | 8.15465639571035 | -0.184656395710355 |
12 | 8.01 | 8.00499222382327 | 0.00500777617673087 |
13 | 8 | 8.01170125122073 | -0.0117012512207264 |
14 | 7.9 | 8.00331257675842 | -0.103312576758418 |
15 | 7.99 | 7.90755132137833 | 0.0824486786216703 |
16 | 8.02 | 7.97404637496488 | 0.0459536250351178 |
17 | 8.08 | 8.01595865148396 | 0.064041348516037 |
18 | 8.02 | 8.08024396392215 | -0.0602439639221455 |
19 | 8.07 | 8.03537384795846 | 0.0346261520415396 |
20 | 8.11 | 8.0724916052271 | 0.0375083947729014 |
21 | 8.19 | 8.11637894651599 | 0.0736210534840076 |
22 | 8.16 | 8.19856888398697 | -0.0385688839869651 |
23 | 8.08 | 8.18408213553343 | -0.104082135533432 |
24 | 8.22 | 8.10356879931294 | 0.116431200687066 |
25 | 8.15 | 8.21784463814524 | -0.0678446381452389 |
26 | 8.19 | 8.17279825889701 | 0.0172017411029852 |
27 | 8.31 | 8.19962575860227 | 0.11037424139773 |
28 | 8.3 | 8.31593694340902 | -0.0159369434090237 |
29 | 8.34 | 8.32662880169163 | 0.0133711983083717 |
30 | 8.31 | 8.36296295648085 | -0.0529629564808491 |
31 | 8.38 | 8.33859586772873 | 0.041404132271273 |
32 | 8.34 | 8.396598977258 | -0.056598977258 |
33 | 8.44 | 8.3674620045857 | 0.072537995414292 |
34 | 8.64 | 8.45290838580077 | 0.187091614199232 |
35 | 8.6 | 8.65440432567049 | -0.0544043256704878 |
36 | 8.61 | 8.65115629675402 | -0.0411562967540178 |
37 | 8.54 | 8.65395955322825 | -0.113959553228254 |
38 | 8.69 | 8.58358912683455 | 0.106410873165446 |
39 | 8.73 | 8.70671445492194 | 0.023285545078064 |
40 | 8.91 | 8.7642956073441 | 0.145704392655897 |
41 | 9.01 | 8.93952920236387 | 0.0704707976361316 |
42 | 9.08 | 9.06123860379129 | 0.0187613962087099 |
43 | 8.94 | 9.1426771170757 | -0.202677117075709 |
44 | 9.03 | 9.0184442665367 | 0.0115557334632967 |
45 | 9.02 | 9.07153322282664 | -0.0515332228266363 |
46 | 8.96 | 9.06675426238005 | -0.106754262380047 |
47 | 9.03 | 9.00408886781468 | 0.0259111321853176 |
48 | 8.94 | 9.05343261342365 | -0.113432613423653 |
49 | 8.95 | 8.97500980829996 | -0.0250098082999628 |
50 | 8.95 | 8.96628002693842 | -0.0162800269384231 |
51 | 8.99 | 8.96280996311347 | 0.0271900368865339 |
52 | 8.93 | 8.99823629947044 | -0.0682362994704437 |
53 | 8.98 | 8.94727323447114 | 0.0327267655288637 |
54 | 8.95 | 8.98307971844574 | -0.0330797184457445 |
55 | 9.02 | 8.96095197530302 | 0.0590480246969776 |
56 | 8.92 | 9.02142586670473 | -0.101425866704728 |
57 | 9.1 | 8.93818660266044 | 0.161813397339555 |
58 | 9.06 | 9.09015682582922 | -0.0301568258292217 |
59 | 8.97 | 9.08090809239725 | -0.110908092397246 |
60 | 8.89 | 8.9923155125363 | -0.102315512536292 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 8.89877238233959 | 8.72607333724908 | 9.0714714274301 |
62 | 8.88926868394434 | 8.6523980006326 | 9.12613936725608 |
63 | 8.87976498554909 | 8.58081136563375 | 9.17871860546442 |
64 | 8.87026128715384 | 8.50909200212612 | 9.23143057218155 |
65 | 8.86075758875859 | 8.43632934876748 | 9.28518582874969 |
66 | 8.85125389036333 | 8.36208811503502 | 9.34041966569165 |
67 | 8.84175019196809 | 8.28614567387291 | 9.39735471006326 |
68 | 8.83224649357283 | 8.20838700718496 | 9.4561059799607 |
69 | 8.82274279517758 | 8.12875602011182 | 9.51672957024335 |
70 | 8.81323909678233 | 8.04723061792168 | 9.57924757564298 |
71 | 8.80373539838708 | 7.9638090031325 | 9.64366179364167 |
72 | 8.79423169999183 | 7.87850173063866 | 9.709961669345 |