Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.89671060620721 |
beta | 0.0197678226141182 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 369.6 | 353.994837407193 | 15.6051625928071 |
14 | 370.6 | 369.081440817261 | 1.51855918273935 |
15 | 374.2 | 374.125762122958 | 0.0742378770420942 |
16 | 378.1 | 378.255717087245 | -0.155717087244909 |
17 | 381 | 381.114345384329 | -0.114345384329283 |
18 | 383.2 | 383.191680941988 | 0.00831905801214816 |
19 | 387.3 | 385.908229977435 | 1.39177002256457 |
20 | 391.4 | 389.970042530074 | 1.4299574699258 |
21 | 395.1 | 397.292047851685 | -2.19204785168517 |
22 | 399.1 | 400.69110762242 | -1.59110762241988 |
23 | 403 | 401.383808979857 | 1.61619102014305 |
24 | 406.3 | 405.829756063259 | 0.470243936741383 |
25 | 410.2 | 408.950793824352 | 1.24920617564817 |
26 | 413.3 | 409.402607044143 | 3.89739295585696 |
27 | 418.4 | 416.59246215667 | 1.80753784333018 |
28 | 421.4 | 422.505692621897 | -1.10569262189659 |
29 | 422.5 | 424.631237106153 | -2.13123710615258 |
30 | 425.5 | 424.903877309648 | 0.596122690352274 |
31 | 427.3 | 428.363693136165 | -1.06369313616511 |
32 | 430.7 | 430.25280053159 | 0.447199468409735 |
33 | 433.2 | 436.608648244368 | -3.40864824436778 |
34 | 437.5 | 439.218371553367 | -1.71837155336652 |
35 | 439.9 | 440.079455489796 | -0.179455489796055 |
36 | 443 | 442.756708381102 | 0.24329161889824 |
37 | 445.6 | 445.701086571794 | -0.101086571793587 |
38 | 446.2 | 444.862776768668 | 1.33722323133173 |
39 | 449.3 | 449.471708512306 | -0.171708512306054 |
40 | 453.9 | 453.238452544568 | 0.661547455431787 |
41 | 458 | 456.731134089418 | 1.26886591058218 |
42 | 461.2 | 460.240745272105 | 0.959254727894688 |
43 | 463.7 | 463.790905073825 | -0.0909050738254678 |
44 | 466 | 466.683967340224 | -0.683967340224058 |
45 | 468.3 | 471.788304381945 | -3.48830438194483 |
46 | 471.7 | 474.68858787976 | -2.98858787976047 |
47 | 474.7 | 474.471092878596 | 0.228907121404404 |
48 | 477.3 | 477.492571786892 | -0.192571786892302 |
49 | 479.8 | 479.922631044661 | -0.122631044661262 |
50 | 482.6 | 478.875121576864 | 3.72487842313637 |
51 | 485.6 | 485.468097485221 | 0.131902514779256 |
52 | 488.5 | 489.657838051797 | -1.1578380517974 |
53 | 492 | 491.529301536779 | 0.470698463220856 |
54 | 494.8 | 494.177714205955 | 0.622285794045354 |
55 | 498.3 | 497.215738674566 | 1.08426132543451 |
56 | 502.1 | 501.044577194157 | 1.05542280584342 |
57 | 505.8 | 507.583895216314 | -1.78389521631362 |
58 | 511.7 | 512.323359337846 | -0.623359337845898 |
59 | 516.6 | 514.601046472969 | 1.99895352703084 |
60 | 521.3 | 519.236635355296 | 2.06336464470348 |
61 | 526.1 | 523.791759504552 | 2.30824049544765 |
62 | 530.4 | 525.153401301465 | 5.24659869853542 |
63 | 534.7 | 532.923439975218 | 1.77656002478159 |
64 | 538.4 | 538.772795158354 | -0.372795158354506 |
65 | 544.6 | 541.764055631058 | 2.83594436894214 |
66 | 547.7 | 546.748993427284 | 0.951006572715983 |
67 | 551.4 | 550.364121677409 | 1.03587832259097 |
68 | 554.3 | 554.41319073027 | -0.113190730270162 |
69 | 557.5 | 560.109512578213 | -2.60951257821262 |
70 | 560.7 | 564.831871282895 | -4.13187128289519 |
71 | 563.8 | 564.431441683578 | -0.631441683578146 |
72 | 566.2 | 566.838614035438 | -0.638614035437854 |
73 | 567.2 | 569.059784381197 | -1.85978438119685 |
74 | 569.3 | 566.728594090332 | 2.57140590966844 |
75 | 570.9 | 571.679987158322 | -0.77998715832166 |
76 | 573 | 574.99906628199 | -1.99906628199028 |
77 | 575.1 | 576.790908111277 | -1.69090811127649 |
78 | 578.1 | 577.2858717792 | 0.814128220800399 |
79 | 581 | 580.578085400612 | 0.42191459938806 |
80 | 584.4 | 583.75091794912 | 0.64908205087977 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
81 | 589.814302500527 | 584.795630564313 | 594.832974436741 |
82 | 596.79312202021 | 589.97279171276 | 603.613452327661 |
83 | 600.427931146376 | 592.153183968304 | 608.702678324449 |
84 | 603.336393656504 | 593.789690165921 | 612.883097147086 |
85 | 605.931491583592 | 595.228942530839 | 616.634040636346 |
86 | 605.491263286022 | 593.759436692577 | 617.223089879467 |
87 | 607.684583683734 | 594.938176220755 | 620.430991146713 |
88 | 611.586757062017 | 597.838118649579 | 625.335395474456 |
89 | 615.233749051171 | 600.522851071449 | 629.944647030892 |
90 | 617.47422857682 | 601.860758450715 | 633.087698702925 |
91 | 619.969954792948 | 603.471547522696 | 636.4683620632 |
92 | 622.774640455465 | 606.071119538158 | 639.478161372773 |