Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.270520241331294 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 374.55 | 376.38 | -1.83000000000004 |
4 | 375.01 | 377.334947958364 | -2.32494795836379 |
5 | 374.81 | 377.166002475584 | -2.35600247558449 |
6 | 375.31 | 376.328656117312 | -1.01865611731228 |
7 | 375.31 | 376.553089018623 | -1.24308901862332 |
8 | 375.39 | 376.216808277309 | -0.826808277309112 |
9 | 375.59 | 376.073139902597 | -0.48313990259669 |
10 | 376.26 | 376.142440779549 | 0.117559220450573 |
11 | 377.18 | 376.844242928236 | 0.335757071763567 |
12 | 377.26 | 377.855072012319 | -0.595072012318667 |
13 | 377.26 | 377.774092987937 | -0.514092987936692 |
14 | 381.87 | 377.635020428773 | 4.23497957122669 |
15 | 387.09 | 383.390668124415 | 3.6993318755853 |
16 | 387.14 | 389.611412276163 | -2.47141227616254 |
17 | 388.78 | 388.992845230786 | -0.212845230785945 |
18 | 389.16 | 390.575266287588 | -1.41526628758749 |
19 | 389.16 | 390.572408109921 | -1.41240810992133 |
20 | 389.42 | 390.190323127167 | -0.770323127167103 |
21 | 389.49 | 390.241935128903 | -0.751935128902801 |
22 | 388.97 | 390.108521456367 | -1.1385214563665 |
23 | 388.97 | 389.280528357229 | -0.31052835722943 |
24 | 389.09 | 389.196524151092 | -0.106524151091548 |
25 | 389.09 | 389.287707212031 | -0.197707212030593 |
26 | 391.76 | 389.234223409319 | 2.52577659068089 |
27 | 390.96 | 392.587497102179 | -1.62749710217906 |
28 | 391.76 | 391.347226193332 | 0.412773806668383 |
29 | 392.8 | 392.258889863127 | 0.541110136873272 |
30 | 393.06 | 393.445271107941 | -0.385271107940525 |
31 | 393.06 | 393.601047474842 | -0.541047474842458 |
32 | 393.26 | 393.454683181376 | -0.194683181376433 |
33 | 393.87 | 393.602017440167 | 0.267982559832717 |
34 | 394.47 | 394.284512146926 | 0.185487853074164 |
35 | 394.57 | 394.934690365703 | -0.364690365703495 |
36 | 394.57 | 394.936034239962 | -0.366034239962175 |
37 | 394.57 | 394.837014569032 | -0.267014569032085 |
38 | 399.57 | 394.764781723379 | 4.80521827662142 |
39 | 406.13 | 401.06469053122 | 5.06530946878024 |
40 | 407.03 | 408.994959271132 | -1.96495927113187 |
41 | 409.46 | 409.363398014899 | 0.0966019851009037 |
42 | 409.9 | 411.819530807222 | -1.91953080722169 |
43 | 409.9 | 411.740258870009 | -1.84025887000922 |
44 | 410.14 | 411.242431596382 | -1.10243159638225 |
45 | 410.54 | 411.184201534878 | -0.644201534877652 |
46 | 410.69 | 411.409931980197 | -0.719931980196634 |
47 | 410.79 | 411.365175807172 | -0.575175807171661 |
48 | 410.97 | 411.309579109008 | -0.339579109007673 |
49 | 410.97 | 411.397716086488 | -0.427716086487862 |
50 | 413.8 | 411.28201022755 | 2.51798977245011 |
51 | 423.31 | 414.793177428463 | 8.51682257153715 |
52 | 423.85 | 426.607150325891 | -2.75715032589085 |
53 | 426.6 | 426.401285354344 | 0.198714645655798 |
54 | 426.26 | 429.205041688243 | -2.94504168824312 |
55 | 426.26 | 428.068348300009 | -1.80834830000884 |
56 | 426.32 | 427.579153481479 | -1.25915348147942 |
57 | 427.14 | 427.298526977796 | -0.158526977796441 |
58 | 427.55 | 428.075642221505 | -0.525642221505393 |
59 | 428.29 | 428.34344536089 | -0.0534453608898957 |
60 | 428.8 | 429.068987308964 | -0.268987308963915 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 429.506220797228 | 425.529389385238 | 433.483052209218 |
62 | 430.212441594456 | 423.782479883227 | 436.642403305685 |
63 | 430.918662391684 | 422.035959677989 | 439.801365105378 |
64 | 431.624883188912 | 420.187928320162 | 443.061838057662 |
65 | 432.33110398614 | 418.211481327153 | 446.450726645126 |
66 | 433.037324783368 | 416.099303101326 | 449.975346465409 |
67 | 433.743545580596 | 413.850904001567 | 453.636187159624 |
68 | 434.449766377823 | 411.468462576304 | 457.431070179343 |
69 | 435.155987175051 | 408.955209826012 | 461.35676452409 |
70 | 435.862207972279 | 406.314734886843 | 465.409681057716 |
71 | 436.568428769507 | 403.550670374149 | 469.586187164866 |
72 | 437.274649566735 | 400.666548089503 | 473.882751043968 |