Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.665421046338253 |
beta | 0.000770639574476133 |
gamma | 0.646362889708687 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 200 | 174.888900211549 | 25.1110997884505 |
14 | 118 | 113.442480703907 | 4.55751929609274 |
15 | 90 | 88.9411140246669 | 1.05888597533313 |
16 | 79 | 77.4939342549065 | 1.50606574509352 |
17 | 78 | 76.4037008872773 | 1.59629911272273 |
18 | 91 | 91.3597275152543 | -0.359727515254335 |
19 | 167 | 120.885421468935 | 46.1145785310648 |
20 | 169 | 268.487229560383 | -99.4872295603834 |
21 | 289 | 253.415738639192 | 35.5842613608075 |
22 | 347 | 368.383920418892 | -21.383920418892 |
23 | 375 | 378.934325820553 | -3.93432582055277 |
24 | 203 | 308.713097295575 | -105.713097295575 |
25 | 223 | 199.106304451831 | 23.8936955481693 |
26 | 104 | 124.603942701796 | -20.6039427017963 |
27 | 107 | 84.2636953404822 | 22.7363046595178 |
28 | 85 | 85.8858200729584 | -0.885820072958381 |
29 | 75 | 82.9186970356463 | -7.91869703564635 |
30 | 99 | 91.0798157909288 | 7.92018420907122 |
31 | 135 | 136.197133275263 | -1.19713327526318 |
32 | 211 | 201.603632069602 | 9.39636793039784 |
33 | 335 | 298.735180252139 | 36.2648197478606 |
34 | 460 | 411.347516366038 | 48.6524836339619 |
35 | 488 | 478.231771575 | 9.76822842500002 |
36 | 326 | 358.967935841707 | -32.9679358417073 |
37 | 346 | 316.461163698796 | 29.5388363012036 |
38 | 261 | 181.382180831354 | 79.6178191686458 |
39 | 224 | 192.520962063871 | 31.4790379361294 |
40 | 141 | 173.826130322579 | -32.8261303225794 |
41 | 148 | 143.726403380052 | 4.27359661994774 |
42 | 145 | 177.386175713433 | -32.3861757134329 |
43 | 223 | 214.689021941814 | 8.3109780581864 |
44 | 272 | 329.627395624004 | -57.627395624004 |
45 | 445 | 422.774894319884 | 22.2251056801161 |
46 | 560 | 555.192114150232 | 4.8078858497679 |
47 | 612 | 588.966663517296 | 23.0333364827039 |
48 | 467 | 435.039741417224 | 31.9602585827760 |
49 | 518 | 444.375118213835 | 73.6248817861647 |
50 | 404 | 279.402756500690 | 124.597243499310 |
51 | 300 | 285.267840835805 | 14.7321591641948 |
52 | 210 | 221.491527417580 | -11.4915274175803 |
53 | 196 | 212.812424030486 | -16.8124240304861 |
54 | 186 | 231.005870534258 | -45.0058705342578 |
55 | 247 | 291.589575589157 | -44.5895755891567 |
56 | 343 | 371.639438220566 | -28.6394382205659 |
57 | 464 | 539.197984617746 | -75.1979846177461 |
58 | 680 | 614.377516312488 | 65.622483687512 |
59 | 711 | 697.349078392747 | 13.6509216072531 |
60 | 610 | 511.305691974145 | 98.6943080258552 |
61 | 613 | 570.266149531425 | 42.7338504685746 |
62 | 392 | 352.415447323278 | 39.5845526767223 |
63 | 273 | 280.599741530896 | -7.59974153089615 |
64 | 322 | 202.334592276207 | 119.665407723793 |
65 | 189 | 278.325554955421 | -89.3255549554209 |
66 | 257 | 242.856303616285 | 14.1436963837146 |
67 | 324 | 369.618094190125 | -45.6180941901252 |
68 | 404 | 489.926685592868 | -85.9266855928677 |
69 | 677 | 650.060339504961 | 26.939660495039 |
70 | 858 | 884.038735958918 | -26.0387359589176 |
71 | 895 | 901.01453409839 | -6.01453409839064 |
72 | 664 | 669.215155406219 | -5.21515540621851 |
73 | 628 | 643.787384815201 | -15.7873848152011 |
74 | 308 | 375.268172582017 | -67.2681725820173 |
75 | 324 | 238.262947583285 | 85.7370524167154 |
76 | 248 | 238.047612286582 | 9.95238771341752 |
77 | 272 | 201.921349726258 | 70.0786502737423 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
78 | 305.759388145103 | 223.019235979670 | 388.499540310536 |
79 | 429.331810249379 | 309.072930190873 | 549.590690307884 |
80 | 610.240403522688 | 437.340052910974 | 783.140754134402 |
81 | 963.978867408961 | 692.927529472112 | 1235.03020534581 |
82 | 1253.94371274631 | 900.279835560756 | 1607.60758993187 |
83 | 1307.37129379048 | 935.358591187613 | 1679.38399639335 |
84 | 973.021471580121 | 688.080808287364 | 1257.96213487288 |
85 | 935.416102800596 | 655.225795585457 | 1215.60641001573 |
86 | 531.583281547937 | 355.432887870354 | 707.73367522552 |
87 | 424.70352552675 | 267.8237132179 | 581.5833378356 |
88 | 324.425494357226 | 185.228592563105 | 463.622396151347 |
89 | 281.182226090519 | 170.228887566324 | 392.135564614713 |