Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.819010626931158 |
beta | 0.422758665301198 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 292300 | 290364.214209402 | 1935.78579059819 |
14 | 288186 | 288573.902492723 | -387.902492722787 |
15 | 281477 | 281925.614863226 | -448.614863226423 |
16 | 282656 | 282908.10635773 | -252.106357730459 |
17 | 280190 | 280513.791799919 | -323.791799919447 |
18 | 280408 | 280915.071853821 | -507.071853820526 |
19 | 276836 | 279371.714756965 | -2535.714756965 |
20 | 275216 | 271437.901950835 | 3778.09804916533 |
21 | 274352 | 271898.145437297 | 2453.85456270335 |
22 | 271311 | 273003.243127755 | -1692.24312775541 |
23 | 289802 | 294611.713991497 | -4809.71399149712 |
24 | 290726 | 293722.442582664 | -2996.44258266373 |
25 | 292300 | 290870.741599122 | 1429.25840087823 |
26 | 278506 | 286066.314126849 | -7560.31412684912 |
27 | 269826 | 268870.65195669 | 955.348043310281 |
28 | 265861 | 266862.57855225 | -1001.57855225034 |
29 | 269034 | 259405.972478636 | 9628.02752136407 |
30 | 264176 | 266934.991183153 | -2758.99118315341 |
31 | 255198 | 261410.676833747 | -6212.67683374725 |
32 | 253353 | 248565.551982557 | 4787.44801744341 |
33 | 246057 | 246919.696978542 | -862.696978542139 |
34 | 235372 | 240716.675708324 | -5344.67570832407 |
35 | 258556 | 253663.475715044 | 4892.52428495564 |
36 | 260993 | 259301.902985605 | 1691.09701439535 |
37 | 254663 | 260966.662871024 | -6303.66287102413 |
38 | 250643 | 245400.708530496 | 5242.29146950436 |
39 | 243422 | 241863.418997605 | 1558.58100239461 |
40 | 247105 | 241835.740819375 | 5269.25918062523 |
41 | 248541 | 245450.626101423 | 3090.37389857738 |
42 | 245039 | 247131.458845871 | -2092.45884587118 |
43 | 237080 | 243506.884460543 | -6426.88446054308 |
44 | 237085 | 234381.982213307 | 2703.01778669254 |
45 | 225554 | 231189.374598531 | -5635.37459853094 |
46 | 226839 | 219796.812994222 | 7042.18700577784 |
47 | 247934 | 248560.808388502 | -626.808388501522 |
48 | 248333 | 251007.783076531 | -2674.78307653122 |
49 | 246969 | 248046.578951782 | -1077.57895178214 |
50 | 245098 | 241056.74203742 | 4041.25796257981 |
51 | 246263 | 237659.434519732 | 8603.5654802678 |
52 | 255765 | 248302.902956166 | 7462.09704383434 |
53 | 264319 | 258308.283414893 | 6010.71658510726 |
54 | 268347 | 267442.913613978 | 904.086386021867 |
55 | 273046 | 272525.635378617 | 520.364621383254 |
56 | 273963 | 280186.040173054 | -6223.04017305386 |
57 | 267430 | 274526.164174507 | -7096.16417450667 |
58 | 271993 | 270078.343271137 | 1914.65672886278 |
59 | 292710 | 297326.093400524 | -4616.09340052435 |
60 | 295881 | 298825.137445836 | -2944.13744583557 |
61 | 294563 | 298529.141743234 | -3966.14174323354 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 291696.584758329 | 283130.14362148 | 300263.025895177 |
63 | 286012.500995323 | 272858.569618521 | 299166.432372125 |
64 | 286621.360466709 | 268163.820250168 | 305078.90068325 |
65 | 284887.210826267 | 260516.248895975 | 309258.17275656 |
66 | 280728.271998057 | 249899.549587436 | 311556.994408678 |
67 | 277241.571031326 | 239456.983668843 | 315026.158393809 |
68 | 275315.617208485 | 230112.367695075 | 320518.866721896 |
69 | 268809.450544399 | 215753.051026108 | 321865.85006269 |
70 | 268476.328932647 | 207155.748675367 | 329796.909189928 |
71 | 288983.022981553 | 219007.133580811 | 358958.912382294 |
72 | 292172.661238336 | 213167.52619024 | 371177.796286432 |
73 | 292729.721328746 | 204336.465964794 | 381122.976692698 |