Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.833089234526611 |
beta | 0 |
gamma | 0.237425830595833 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 377.26 | 370.930868055555 | 6.32913194444461 |
14 | 381.87 | 380.732141409037 | 1.13785859096265 |
15 | 387.09 | 386.816537484915 | 0.273462515084645 |
16 | 387.14 | 387.065814495612 | 0.0741855043877422 |
17 | 388.78 | 388.826992640676 | -0.0469926406756258 |
18 | 389.16 | 389.263885244294 | -0.103885244293508 |
19 | 389.16 | 387.83879789898 | 1.32120210102028 |
20 | 389.42 | 389.42426881264 | -0.00426881264036183 |
21 | 389.49 | 389.813004177452 | -0.323004177452162 |
22 | 388.97 | 390.266204541176 | -1.29620454117639 |
23 | 388.97 | 390.099058825511 | -1.12905882551115 |
24 | 389.09 | 389.159493739497 | -0.0694937394972044 |
25 | 389.09 | 389.278457628531 | -0.188457628531012 |
26 | 391.76 | 393.444272680278 | -1.6842726802779 |
27 | 390.96 | 397.143326486564 | -6.18332648656389 |
28 | 391.76 | 392.005624956242 | -0.245624956242409 |
29 | 392.8 | 393.495570289586 | -0.695570289585532 |
30 | 393.06 | 393.389885243299 | -0.329885243299202 |
31 | 393.06 | 391.832994414369 | 1.22700558563088 |
32 | 393.26 | 393.287464234881 | -0.027464234881279 |
33 | 393.87 | 393.644244602589 | 0.225755397411319 |
34 | 394.47 | 394.51604377418 | -0.0460437741801911 |
35 | 394.57 | 395.397017340313 | -0.827017340312921 |
36 | 394.57 | 394.751069191579 | -0.181069191578899 |
37 | 394.57 | 394.772366361357 | -0.20236636135661 |
38 | 399.57 | 398.867316651838 | 0.702683348161941 |
39 | 406.13 | 404.376625153272 | 1.75337484672815 |
40 | 407.03 | 406.086208802621 | 0.94379119737863 |
41 | 409.46 | 408.549213078092 | 0.910786921908311 |
42 | 409.9 | 409.796258637556 | 0.103741362443884 |
43 | 409.9 | 408.662315378881 | 1.23768462111929 |
44 | 410.14 | 410.075968495792 | 0.0640315042078328 |
45 | 410.54 | 410.519007801095 | 0.0209921989048212 |
46 | 410.69 | 411.209449846819 | -0.519449846819327 |
47 | 410.79 | 411.665084765736 | -0.875084765735721 |
48 | 410.97 | 411.004690394465 | -0.0346903944652013 |
49 | 410.97 | 411.147090180292 | -0.177090180292168 |
50 | 413.8 | 415.298963934094 | -1.49896393409404 |
51 | 423.31 | 419.015741563286 | 4.29425843671379 |
52 | 423.85 | 422.810025046194 | 1.03997495380594 |
53 | 426.6 | 425.351851049653 | 1.24814895034723 |
54 | 426.26 | 426.847966933483 | -0.587966933482846 |
55 | 426.26 | 425.182705894803 | 1.0772941051967 |
56 | 426.32 | 426.416228785736 | -0.0962287857359456 |
57 | 427.14 | 426.724051367271 | 0.415948632728771 |
58 | 427.55 | 427.722110227674 | -0.172110227674239 |
59 | 428.29 | 428.453016613739 | -0.163016613739103 |
60 | 428.8 | 428.419142481444 | 0.380857518556013 |
61 | 428.8 | 428.902087609303 | -0.102087609303339 |
62 | 434.87 | 433.064060758896 | 1.80593924110389 |
63 | 435.66 | 439.763696831667 | -4.10369683166692 |
64 | 440.75 | 436.432770425453 | 4.31722957454696 |
65 | 440.99 | 441.713091684393 | -0.723091684392557 |
66 | 441.04 | 441.494224914201 | -0.454224914200722 |
67 | 441.04 | 440.00637542034 | 1.03362457966023 |
68 | 441.88 | 441.157012246543 | 0.72298775345655 |
69 | 441.92 | 442.167612349219 | -0.247612349219082 |
70 | 442.48 | 442.589561557384 | -0.109561557383586 |
71 | 442.81 | 443.372936937466 | -0.562936937465508 |
72 | 442.81 | 443.027446637161 | -0.217446637160947 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 442.992812416641 | 439.727339426115 | 446.258285407168 |
74 | 447.315446711536 | 443.06526372951 | 451.565629693562 |
75 | 452.276381707054 | 447.230116067044 | 457.322647347064 |
76 | 452.697913231964 | 446.96506590813 | 458.430760555798 |
77 | 454.181854485497 | 447.836282803825 | 460.527426167168 |
78 | 454.576042514791 | 447.671911758781 | 461.480173270801 |
79 | 453.525564786174 | 446.10479912319 | 460.946330449158 |
80 | 453.802789898372 | 445.899087945883 | 461.70649185086 |
81 | 454.172612846209 | 445.81383027441 | 462.531395418008 |
82 | 454.806316041613 | 446.015981144042 | 463.596650939184 |
83 | 455.662999195771 | 446.461329285352 | 464.864669106189 |
84 | 455.80017700772 | 446.204789018215 | 465.395564997225 |