Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999953443816346 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 1934.4 | 1737.4 | 197 |
3 | 1716 | 1934.39082843182 | -218.39082843182 |
4 | 1894.6 | 1716.01016744352 | 178.589832556483 |
5 | 2078.4 | 1894.59168553896 | 183.808314461043 |
6 | 2116.4 | 2078.39144258635 | 38.0085574136451 |
7 | 2132.8 | 2116.39823046662 | 16.4017695333791 |
8 | 1874.2 | 2132.79923639621 | -258.599236396206 |
9 | 2021.4 | 1874.21203939354 | 147.187960606458 |
10 | 2109 | 2021.39314749027 | 87.6068525097255 |
11 | 2101.2 | 2108.99592135929 | -7.79592135928533 |
12 | 1913 | 2101.20036294835 | -188.200362948347 |
13 | 1965 | 1913.00876189066 | 51.9912381093388 |
14 | 1903.4 | 1964.99757948637 | -61.59757948637 |
15 | 1837.4 | 1903.40286774822 | -66.002867748223 |
16 | 1888 | 1837.40307284163 | 50.5969271583674 |
17 | 1912 | 1887.99764440017 | 24.0023555998332 |
18 | 1971.4 | 1911.99888254192 | 59.4011174580755 |
19 | 2041.6 | 1971.39723451067 | 70.2027654893336 |
20 | 2132.2 | 2041.59673162716 | 90.6032683728431 |
21 | 2075.4 | 2132.1957818576 | -56.7957818575978 |
22 | 2172 | 2075.40264419485 | 96.5973558051492 |
23 | 2284.6 | 2171.99550279576 | 112.604497204237 |
24 | 2396.4 | 2284.59475756435 | 111.805242435652 |
25 | 2539.4 | 2396.3947947746 | 143.0052052254 |
26 | 2688 | 2539.3933422234 | 148.606657776598 |
27 | 2964.2 | 2687.99308144115 | 276.206918558851 |
28 | 3375.6 | 2964.18714085997 | 411.412859140027 |
29 | 3271.4 | 3375.58084618737 | -104.180846187372 |
30 | 3714.8 | 3271.40485026261 | 443.395149737392 |
31 | 3989.4 | 3714.77935721398 | 274.620642786022 |
32 | 4367.2 | 3989.38721471092 | 377.81278528908 |
33 | 5070.4 | 4367.18241047858 | 703.217589521419 |
34 | 5651.6 | 5070.36726087275 | 581.232739127247 |
35 | 6180.8 | 5651.57294002185 | 529.227059978148 |
36 | 5428.6 | 6180.7753612078 | -752.1753612078 |
37 | 5346.4 | 5428.63501841426 | -82.235018414257 |
38 | 5891.8 | 5346.40382854862 | 545.39617145138 |
39 | 5527 | 5891.77460843568 | -364.774608435678 |
40 | 5191.4 | 5527.01698251366 | -335.616982513662 |
41 | 5324.6 | 5191.41562504588 | 133.184374954125 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
42 | 5324.59379944378 | 4781.74070704213 | 5867.44689184543 |
43 | 5324.59379944378 | 4556.90146441385 | 6092.28613447371 |
44 | 5324.59379944378 | 4384.3738450728 | 6264.81375381477 |
45 | 5324.59379944378 | 4238.92552417225 | 6410.26207471531 |
46 | 5324.59379944378 | 4110.78259284503 | 6538.40500604253 |
47 | 5324.59379944378 | 3994.93230620635 | 6654.25529268121 |
48 | 5324.59379944378 | 3888.39683247439 | 6760.79076641317 |
49 | 5324.59379944378 | 3789.23593586092 | 6859.95166302664 |
50 | 5324.59379944378 | 3696.10191717989 | 6953.08568170768 |
51 | 5324.59379944378 | 3608.01352111915 | 7041.17407776842 |
52 | 5324.59379944378 | 3524.22997697157 | 7124.95762191599 |
53 | 5324.59379944378 | 3444.17577820477 | 7205.01182068279 |