Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.180689939825716 |
beta | 0.54265603293671 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 371 | 493 | -122 |
4 | 1147 | 464.9934240569 | 682.0065759431 |
5 | 1638 | 649.135188137312 | 988.864811862688 |
6 | 1193 | 985.683801460212 | 207.316198539788 |
7 | 1646 | 1201.34231151284 | 444.657688487159 |
8 | 1930 | 1503.48583284955 | 426.51416715045 |
9 | 1472 | 1844.17177678432 | -372.171776784321 |
10 | 1952 | 2004.05083766043 | -52.050837660433 |
11 | 2040 | 2216.66881773606 | -176.668817736062 |
12 | 2601 | 2389.44676572398 | 211.553234276017 |
13 | 3289 | 2653.11585345784 | 635.884146542158 |
14 | 2964 | 3055.8072895319 | -91.8072895318987 |
15 | 2925 | 3318.01027084427 | -393.010270844268 |
16 | 3565 | 3487.25326953277 | 77.7467304672305 |
17 | 3614 | 3749.1805826566 | -135.180582656597 |
18 | 3046 | 3959.37928020488 | -913.379280204883 |
19 | 3153 | 3939.40619289292 | -786.40619289292 |
20 | 3797 | 3865.26678291713 | -68.2667829171273 |
21 | 4716 | 3914.19421194436 | 801.805788055637 |
22 | 3898 | 4198.95405222252 | -300.954052222522 |
23 | 3267 | 4254.94699034525 | -987.946990345253 |
24 | 3739 | 4089.93655744017 | -350.936557440174 |
25 | 4422 | 4005.61729946175 | 416.382700538254 |
26 | 3719 | 4100.77227092366 | -381.772270923657 |
27 | 4260 | 4014.27494839449 | 245.725051605512 |
28 | 4573 | 4065.25403148093 | 507.745968519072 |
29 | 4199 | 4213.36341271554 | -14.3634127155447 |
30 | 4647 | 4265.72451294913 | 381.275487050868 |
31 | 5708 | 4426.95859150655 | 1281.04140849345 |
32 | 4715 | 4876.38061495819 | -161.380614958191 |
33 | 5018 | 5049.34771931031 | -31.3477193103081 |
34 | 7280 | 5242.73673794556 | 2037.26326205444 |
35 | 6355 | 6009.66167767979 | 345.338322320207 |
36 | 5868 | 6504.73408285676 | -636.734082856764 |
37 | 7071 | 6759.92252453264 | 311.077475467362 |
38 | 7009 | 7216.87289943692 | -207.872899436920 |
39 | 6440 | 7559.67170777841 | -1119.67170777841 |
40 | 8446 | 7627.93104992607 | 818.068950073926 |
41 | 9328 | 8126.53432916186 | 1201.46567083814 |
42 | 8166 | 8812.22023459604 | -646.220234596038 |
43 | 10332 | 9100.6843844953 | 1231.31561550470 |
44 | 9238 | 9849.13393124366 | -611.133931243656 |
45 | 9597 | 10204.748179059 | -607.748179058999 |
46 | 8929 | 10501.3829784522 | -1572.38297845219 |
47 | 12394 | 10469.5419141064 | 1924.45808589364 |
48 | 15581 | 11258.2427506615 | 4322.75724933855 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
49 | 12904.1492131450 | 10999.7937761928 | 14808.5046500972 |
50 | 13768.9769283644 | 11792.0236047992 | 15745.9302519296 |
51 | 14633.8046435838 | 12530.6583075543 | 16736.9509796133 |
52 | 15498.6323588033 | 13209.3216293269 | 17787.9430882796 |
53 | 16363.4600740227 | 13827.4719936426 | 18899.4481544027 |
54 | 17228.2877892421 | 14388.5987079858 | 20067.9768704984 |
55 | 18093.1155044615 | 14898.0453951407 | 21288.1856137823 |
56 | 18957.9432196809 | 15361.432952229 | 22554.4534871328 |
57 | 19822.7709349003 | 15783.8593038181 | 23861.6825659825 |
58 | 20687.5986501197 | 16169.6378305533 | 25205.5594696861 |
59 | 21552.4263653391 | 16522.3062575807 | 26582.5464730976 |
60 | 22417.2540805585 | 16844.7361629600 | 27989.7719981571 |