Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999921341552912 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 373.1 | 369.82 | 3.28000000000003 |
3 | 374.55 | 373.099742000294 | 1.45025799970642 |
4 | 375.01 | 374.549885924958 | 0.4601140750421 |
5 | 374.81 | 375.009963808141 | -0.199963808141376 |
6 | 375.31 | 374.810015728843 | 0.499984271157359 |
7 | 375.31 | 375.309960672014 | 3.93279863146745e-05 |
8 | 375.39 | 375.309999996907 | 0.0800000030934598 |
9 | 375.59 | 375.389993707324 | 0.200006292675994 |
10 | 376.26 | 375.589984267816 | 0.670015732184424 |
11 | 377.18 | 376.259947297603 | 0.920052702397015 |
12 | 377.26 | 377.179927630083 | 0.0800723699168202 |
13 | 377.26 | 377.259993701632 | 6.29836824828089e-06 |
14 | 381.87 | 377.259999999505 | 4.61000000049546 |
15 | 387.09 | 381.869637384559 | 5.2203626154411 |
16 | 387.14 | 387.089589374383 | 0.0504106256165642 |
17 | 388.78 | 387.139996034778 | 1.64000396522152 |
18 | 389.16 | 388.779870999835 | 0.380129000165198 |
19 | 389.16 | 389.159970099643 | 2.99003568215994e-05 |
20 | 389.42 | 389.159999997648 | 0.260000002351887 |
21 | 389.49 | 389.419979548804 | 0.0700204511963989 |
22 | 388.97 | 389.4899944923 | -0.519994492300043 |
23 | 388.97 | 388.970040901959 | -4.09019592666482e-05 |
24 | 389.09 | 388.970000003217 | 0.119999996782667 |
25 | 389.09 | 389.089990560987 | 9.43901341088349e-06 |
26 | 391.76 | 389.089999999258 | 2.67000000074245 |
27 | 390.96 | 391.759789981946 | -0.799789981946219 |
28 | 391.76 | 390.960062910238 | 0.799937089762011 |
29 | 392.8 | 391.759937078191 | 1.04006292180929 |
30 | 393.06 | 392.799918190266 | 0.260081809734288 |
31 | 393.06 | 393.059979542369 | 2.04576312512472e-05 |
32 | 393.26 | 393.059999998391 | 0.200000001609169 |
33 | 393.87 | 393.25998426831 | 0.610015731689543 |
34 | 394.47 | 393.86995201711 | 0.600047982890203 |
35 | 394.57 | 394.469952801157 | 0.100047198842503 |
36 | 394.57 | 394.569992130443 | 7.86955729381589e-06 |
37 | 394.57 | 394.569999999381 | 6.19024831394199e-10 |
38 | 399.57 | 394.57 | 5.00000000000006 |
39 | 406.13 | 399.569606707765 | 6.56039329223546 |
40 | 407.03 | 406.129483969651 | 0.900516030348626 |
41 | 409.46 | 407.029929166807 | 2.43007083319253 |
42 | 409.9 | 409.459808854402 | 0.440191145598078 |
43 | 409.9 | 409.899965375248 | 3.46247519473764e-05 |
44 | 410.14 | 409.899999997276 | 0.240000002723548 |
45 | 410.54 | 410.139981121972 | 0.400018878027538 |
46 | 410.69 | 410.539968535136 | 0.15003146486373 |
47 | 410.79 | 410.689988198758 | 0.10001180124209 |
48 | 410.97 | 410.789992133227 | 0.180007866772996 |
49 | 410.97 | 410.969985840861 | 1.41591392548435e-05 |
50 | 413.8 | 410.969999998886 | 2.83000000111372 |
51 | 423.31 | 413.799777396595 | 9.51022260340534 |
52 | 423.85 | 423.309251940659 | 0.540748059341468 |
53 | 426.6 | 423.849957465597 | 2.75004253440261 |
54 | 426.26 | 426.599783685925 | -0.339783685924829 |
55 | 426.26 | 426.260026726857 | -2.672685707239e-05 |
56 | 426.32 | 426.260000002102 | 0.0599999978977053 |
57 | 427.14 | 426.319995280493 | 0.820004719506642 |
58 | 427.55 | 427.139935499702 | 0.410064500297892 |
59 | 428.29 | 427.549967744963 | 0.740032255036795 |
60 | 428.8 | 428.289941790212 | 0.510058209787985 |
61 | 428.8 | 428.799959879613 | 4.01203866999822e-05 |
62 | 434.87 | 428.799999996844 | 6.07000000315583 |
63 | 435.66 | 434.869522543226 | 0.790477456774113 |
64 | 440.75 | 435.659937822271 | 5.09006217772918 |
65 | 440.99 | 440.749599623614 | 0.240400376386503 |
66 | 441.04 | 440.98998109048 | 0.0500189095203041 |
67 | 441.04 | 441.03999606559 | 3.93440973311954e-06 |
68 | 441.88 | 441.039999999691 | 0.840000000309431 |
69 | 441.92 | 441.879933926904 | 0.040066073095602 |
70 | 442.48 | 441.919996848465 | 0.560003151535113 |
71 | 442.81 | 442.479955951022 | 0.330044048978266 |
72 | 442.81 | 442.809974039248 | 2.59607523389604e-05 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 442.809999997958 | 439.109145339301 | 446.510854656614 |
74 | 442.809999997958 | 437.576406984511 | 448.043593011405 |
75 | 442.809999997958 | 436.400267830675 | 449.21973216524 |
76 | 442.809999997958 | 435.408727331572 | 450.211272664344 |
77 | 442.809999997958 | 434.535158143995 | 451.084841851921 |
78 | 442.809999997958 | 433.745388680643 | 451.874611315273 |
79 | 442.809999997958 | 433.01911908969 | 452.600880906226 |
80 | 442.809999997958 | 432.343122737486 | 453.27687725843 |
81 | 442.809999997958 | 431.708212294544 | 453.911787701372 |
82 | 442.809999997958 | 431.107698479129 | 454.512301516787 |
83 | 442.809999997958 | 430.536531398435 | 455.083468597481 |
84 | 442.809999997958 | 429.990787772186 | 455.62921222373 |