Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999933893038648 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 431 | 435 | -4 |
3 | 434 | 431.000264427845 | 2.99973557215458 |
4 | 439 | 433.999801696596 | 5.00019830340352 |
5 | 455 | 438.999669452084 | 16.000330547916 |
6 | 452 | 454.998942266767 | -2.99894226676685 |
7 | 426 | 452.000198250961 | -26.0001982509605 |
8 | 428 | 426.001718794101 | 1.9982812058991 |
9 | 433 | 427.999867899702 | 5.00013210029846 |
10 | 438 | 432.99966945646 | 5.00033054353952 |
11 | 442 | 437.999669443342 | 4.00033055665801 |
12 | 446 | 441.999735550302 | 4.00026444969751 |
13 | 442 | 445.999735554673 | -3.99973555467261 |
14 | 436 | 442.000264410364 | -6.00026441036374 |
15 | 444 | 436.000396659247 | 7.99960334075251 |
16 | 454 | 443.999471170531 | 10.0005288294689 |
17 | 469 | 453.999338895427 | 15.0006611045728 |
18 | 471 | 468.999008351876 | 2.00099164812389 |
19 | 443 | 470.999867720522 | -27.9998677205224 |
20 | 437 | 443.001850986173 | -6.00185098617328 |
21 | 444 | 437.000396764131 | 6.99960323586879 |
22 | 451 | 443.999537277499 | 7.00046272250057 |
23 | 457 | 450.999537220681 | 6.00046277931864 |
24 | 460 | 456.999603327639 | 3.00039667236103 |
25 | 454 | 459.999801652893 | -5.99980165289315 |
26 | 439 | 454.000396628656 | -15.000396628656 |
27 | 441 | 439.00099163064 | 1.99900836935979 |
28 | 446 | 440.999867851631 | 5.000132148369 |
29 | 459 | 445.999669456457 | 13.0003305435427 |
30 | 456 | 458.999140587651 | -2.9991405876512 |
31 | 433 | 456.000198264071 | -23.0001982640709 |
32 | 424 | 433.001520473218 | -9.00152047321774 |
33 | 430 | 424.000595063166 | 5.99940493683397 |
34 | 428 | 429.99960339757 | -1.99960339756973 |
35 | 424 | 428.000132187705 | -4.00013218770454 |
36 | 419 | 424.000264436584 | -5.00026443658396 |
37 | 409 | 419.000330552288 | -10.0003305522878 |
38 | 397 | 409.000661091465 | -12.0006610914653 |
39 | 397 | 397.000793327239 | -0.000793327238966413 |
40 | 401 | 397.000000052444 | 3.99999994755552 |
41 | 413 | 400.999735572158 | 12.000264427842 |
42 | 413 | 412.999206698983 | 0.000793301016756232 |
43 | 390 | 412.999999947557 | -22.9999999475573 |
44 | 385 | 390.001520460108 | -5.0015204601076 |
45 | 397 | 385.00033063532 | 11.9996693646802 |
46 | 398 | 396.999206738321 | 1.00079326167895 |
47 | 406 | 397.999933840599 | 8.00006615940146 |
48 | 412 | 405.999471139936 | 6.00052886006443 |
49 | 409 | 411.999603323271 | -2.99960332327055 |
50 | 404 | 409.000198294661 | -5.00019829466095 |
51 | 412 | 404.000330547915 | 7.99966945208456 |
52 | 418 | 411.999471166161 | 6.00052883383927 |
53 | 434 | 417.999603323272 | 16.0003966767277 |
54 | 431 | 433.998942262395 | -2.9989422623953 |
55 | 406 | 431.00019825096 | -25.0001982509602 |
56 | 416 | 406.00165268714 | 9.99834731286046 |
57 | 424 | 415.999339039641 | 8.00066096035937 |
58 | 427 | 423.999471100615 | 3.0005288993849 |
59 | 438 | 426.999801644152 | 11.000198355848 |
60 | 444 | 437.999272810312 | 6.00072718968755 |
61 | 442 | 443.99960331016 | -1.99960331015961 |
62 | 443 | 442.000132187699 | 0.999867812301261 |
63 | 453 | 442.999933901777 | 10.0000660982228 |
64 | 471 | 452.999338926017 | 18.0006610739831 |
65 | 476 | 470.998810030994 | 5.00118996900591 |
66 | 476 | 475.999669386528 | 0.000330613471987817 |
67 | 461 | 475.999999978144 | -14.9999999781442 |
68 | 462 | 461.000991604419 | 0.999008395581143 |
69 | 460 | 461.999933958591 | -1.99993395859059 |
70 | 463 | 460.000132209557 | 2.99986779044309 |
71 | 467 | 462.999801687856 | 4.00019831214411 |
72 | 468 | 466.999735559045 | 1.00026444095522 |
73 | 465 | 467.999933875557 | -2.99993387555725 |
74 | 459 | 465.000198316513 | -6.00019831651275 |
75 | 465 | 459.000396654878 | 5.99960334512178 |
76 | 471 | 464.999603384454 | 6.00039661554644 |
77 | 472 | 470.999603332013 | 1.00039666798716 |
78 | 472 | 471.999933866816 | 6.61331838500701e-05 |
79 | 456 | 471.999999995628 | -15.9999999956281 |
80 | 455 | 456.001057711381 | -1.00105771138135 |
81 | 456 | 455.000066176883 | 0.999933823116578 |
82 | 462 | 455.999933897413 | 6.00006610258657 |
83 | 463 | 461.999603353862 | 1.00039664613797 |
84 | 461 | 462.999933866818 | -1.99993386681757 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 461.000132209551 | 442.481941357531 | 479.518323061571 |
86 | 461.000132209551 | 434.812321168622 | 487.18794325048 |
87 | 461.000132209551 | 428.927098336857 | 493.073166082245 |
88 | 461.000132209551 | 423.965586762326 | 498.034677656776 |
89 | 461.000132209551 | 419.594388511772 | 502.405875907329 |
90 | 461.000132209551 | 415.642512498529 | 506.357751920573 |
91 | 461.000132209551 | 412.008380653465 | 509.991883765637 |
92 | 461.000132209551 | 408.625808584163 | 513.374455834938 |
93 | 461.000132209551 | 405.448824125039 | 516.551440294063 |
94 | 461.000132209551 | 402.443955041092 | 519.55630937801 |
95 | 461.000132209551 | 399.585932391695 | 522.414332027407 |
96 | 461.000132209551 | 396.855124656733 | 525.145139762369 |