Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999933983418648 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 375 | 376 | -1 |
3 | 374 | 375.000066016581 | -1.00006601658134 |
4 | 372 | 374.00006602094 | -2.00006602093953 |
5 | 370 | 372.000132037521 | -2.00013203752115 |
6 | 369 | 370.000132041879 | -1.0001320418794 |
7 | 370 | 369.000066025298 | 0.999933974701719 |
8 | 372 | 369.999933987777 | 2.00006601222259 |
9 | 373 | 371.999867962479 | 1.00013203752059 |
10 | 373 | 372.999933974702 | 6.602529799693e-05 |
11 | 374 | 372.999999995641 | 1.00000000435875 |
12 | 376 | 373.999933983418 | 2.00006601658163 |
13 | 371 | 375.999867962479 | -4.99986796247913 |
14 | 374 | 371.00033007419 | 2.99966992580988 |
15 | 369 | 373.999801972046 | -4.99980197204633 |
16 | 363 | 369.000330069834 | -6.00033006983364 |
17 | 357 | 363.000396121278 | -6.00039612127819 |
18 | 366 | 357.000396125639 | 8.9996038743613 |
19 | 362 | 365.999405876919 | -3.99940587691867 |
20 | 366 | 362.000264027103 | 3.99973597289659 |
21 | 361 | 365.999735951105 | -4.99973595110475 |
22 | 362 | 361.000330065475 | 0.999669934524832 |
23 | 358 | 361.999934005208 | -3.99993400520844 |
24 | 363 | 358.000264061969 | 4.99973593803134 |
25 | 360 | 362.999669934526 | -2.99966993452568 |
26 | 360 | 360.000198027954 | -0.000198027954240843 |
27 | 348 | 360.000000013073 | -12.0000000130731 |
28 | 345 | 348.000792198977 | -3.00079219897708 |
29 | 332 | 345.000198102042 | -13.0001981020423 |
30 | 333 | 332.000858228636 | 0.999141771364407 |
31 | 323 | 332.999934040076 | -9.99993404007597 |
32 | 327 | 323.000660161459 | 3.99933983854095 |
33 | 332 | 326.999735977256 | 5.00026402274381 |
34 | 337 | 331.999669899663 | 5.00033010033661 |
35 | 336 | 336.999669895301 | -0.999669895301167 |
36 | 337 | 336.000065994789 | 0.99993400521106 |
37 | 343 | 336.999933987775 | 6.00006601222458 |
38 | 337 | 342.999603896154 | -5.99960389615399 |
39 | 326 | 337.000396073339 | -11.0003960733387 |
40 | 321 | 326.000726208542 | -5.00072620854229 |
41 | 309 | 321.000330130849 | -12.0003301308486 |
42 | 302 | 309.00079222077 | -7.00079222077034 |
43 | 293 | 302.000462168369 | -9.00046216836915 |
44 | 287 | 293.000594179743 | -6.00059417974296 |
45 | 292 | 287.000396138714 | 4.99960386128618 |
46 | 292 | 291.999669943245 | 0.000330056755046826 |
47 | 289 | 291.999999978211 | -2.99999997821078 |
48 | 302 | 289.000198049743 | 12.9998019502574 |
49 | 310 | 301.999141797517 | 8.00085820248302 |
50 | 295 | 309.999471810694 | -14.9994718106936 |
51 | 276 | 295.000990213851 | -19.000990213851 |
52 | 264 | 276.001254380416 | -12.0012543804162 |
53 | 257 | 264.000792281786 | -7.00079228178612 |
54 | 243 | 257.000462168373 | -14.0004621683732 |
55 | 227 | 243.00092426265 | -16.0009242626497 |
56 | 226 | 227.001056326318 | -1.00105632631829 |
57 | 226 | 226.000066086316 | -6.60863163943759e-05 |
58 | 229 | 226.000000004363 | 2.99999999563721 |
59 | 224 | 228.999801950256 | -4.99980195025623 |
60 | 240 | 224.000330069832 | 15.9996699301678 |
61 | 244 | 239.998943756488 | 4.00105624351156 |
62 | 226 | 243.999735863945 | -17.999735863945 |
63 | 208 | 226.001188281027 | -18.001188281027 |
64 | 199 | 208.001188376911 | -9.00118837691059 |
65 | 193 | 199.000594227685 | -6.00059422768476 |
66 | 180 | 193.000396138717 | -13.000396138717 |
67 | 167 | 180.000858241709 | -13.0008582417093 |
68 | 164 | 167.000858272216 | -3.00085827221577 |
69 | 166 | 164.000198106404 | 1.99980189359576 |
70 | 173 | 165.999867979916 | 7.00013202008441 |
71 | 169 | 172.999537875215 | -3.99953787521503 |
72 | 191 | 169.000264035818 | 21.9997359641825 |
73 | 193 | 190.998547652641 | 2.00145234735899 |
74 | 166 | 192.999867870958 | -26.9998678709583 |
75 | 143 | 166.001782438974 | -23.0017824389738 |
76 | 147 | 143.001518499042 | 3.99848150095838 |
77 | 139 | 146.999736033921 | -7.9997360339207 |
78 | 129 | 139.000528115225 | -10.0005281152247 |
79 | 115 | 129.000660200678 | -14.0006602006779 |
80 | 108 | 115.000924275723 | -7.00092427572312 |
81 | 106 | 108.000462177087 | -2.00046217708699 |
82 | 116 | 106.000132063674 | 9.99986793632594 |
83 | 108 | 115.999339842905 | -7.99933984290487 |
84 | 135 | 108.00052808907 | 26.9994719109305 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 134.998217587166 | 117.2613133139 | 152.735121860432 |
86 | 134.998217587166 | 109.915274968125 | 160.081160206207 |
87 | 134.998217587166 | 104.278350275259 | 165.718084899073 |
88 | 134.998217587166 | 99.5261654208157 | 170.470269753517 |
89 | 134.998217587166 | 95.3393885307834 | 174.657046643549 |
90 | 134.998217587166 | 91.5542426383371 | 178.442192535995 |
91 | 134.998217587166 | 88.0734352585758 | 181.922999915756 |
92 | 134.998217587166 | 84.8335743230435 | 185.162860851289 |
93 | 134.998217587166 | 81.7906272353397 | 188.205807938993 |
94 | 134.998217587166 | 78.9125339568592 | 191.083901217473 |
95 | 134.998217587166 | 76.1750916458327 | 193.8213435285 |
96 | 134.998217587166 | 73.5594970378166 | 196.436938136516 |