Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.265744892612999 |
beta | 0.769328451910273 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 441 | 446.912126068376 | -5.91212606837621 |
14 | 446 | 448.999290695025 | -2.99929069502508 |
15 | 459 | 460.039002805251 | -1.03900280525141 |
16 | 456 | 456.137232370713 | -0.137232370712638 |
17 | 433 | 432.94704633677 | 0.0529536632298573 |
18 | 424 | 423.859894053997 | 0.140105946002848 |
19 | 430 | 420.657879353683 | 9.34212064631686 |
20 | 428 | 428.811203915348 | -0.811203915347903 |
21 | 424 | 433.392154327235 | -9.39215432723483 |
22 | 419 | 431.064247665203 | -12.0642476652028 |
23 | 409 | 416.5597694432 | -7.55976944319997 |
24 | 397 | 392.623442097769 | 4.3765579022309 |
25 | 397 | 385.579556534289 | 11.4204434657109 |
26 | 413 | 392.638841045676 | 20.3611589543239 |
27 | 413 | 414.329068164031 | -1.32906816403136 |
28 | 390 | 413.956284875514 | -23.9562848755143 |
29 | 385 | 382.650204610606 | 2.34979538939410 |
30 | 397 | 372.781248598831 | 24.2187514011687 |
31 | 398 | 386.201228788178 | 11.7987712118219 |
32 | 406 | 391.521107008482 | 14.4788929915182 |
33 | 412 | 400.959543144718 | 11.0404568552824 |
34 | 409 | 413.371674972492 | -4.37167497249203 |
35 | 404 | 417.063778247386 | -13.0637782473863 |
36 | 412 | 412.148713774304 | -0.148713774303701 |
37 | 418 | 419.868715458689 | -1.86871545868939 |
38 | 434 | 438.038782486686 | -4.03878248668593 |
39 | 431 | 440.407783726959 | -9.40778372695905 |
40 | 406 | 422.711413717952 | -16.7114137179522 |
41 | 416 | 415.564613324065 | 0.435386675935092 |
42 | 424 | 423.771532698647 | 0.228467301352566 |
43 | 427 | 419.319314412088 | 7.68068558791185 |
44 | 401 | 422.29333394394 | -21.2933339439398 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
45 | 409.167945850895 | 387.737362492628 | 430.598529209163 |
46 | 394.539680436358 | 370.858365721759 | 418.220995150956 |
47 | 381.115064629995 | 353.369193982166 | 408.860935277825 |
48 | 379.929161941626 | 346.391886233272 | 413.46643764998 |
49 | 377.230744719644 | 336.439272778955 | 418.022216660332 |
50 | 385.491061458579 | 336.238526030081 | 434.743596887077 |
51 | 377.003872172532 | 318.277847313356 | 435.729897031707 |
52 | 350.380960603284 | 281.307533175343 | 419.454388031224 |
53 | 357.61794116767 | 277.422041437929 | 437.813840897411 |
54 | 362.820896823557 | 270.799862212444 | 454.841931434671 |
55 | 360.996754509321 | 256.502751075469 | 465.490757943172 |
56 | 336.302031318540 | 218.730125208514 | 453.873937428567 |