Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.519991743636534 |
beta | 0.543769083912884 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 313218 | 314937.831730769 | -1719.83173076925 |
14 | 309664 | 309777.65862079 | -113.658620789764 |
15 | 302963 | 302465.419674192 | 497.580325807736 |
16 | 298989 | 298846.921807561 | 142.078192438872 |
17 | 298423 | 298895.697481043 | -472.697481042531 |
18 | 301631 | 302609.303765351 | -978.303765351186 |
19 | 329765 | 326328.711583789 | 3436.28841621149 |
20 | 335083 | 332202.633444242 | 2880.36655575765 |
21 | 327616 | 332860.128156268 | -5244.1281562678 |
22 | 309119 | 317631.355296961 | -8512.35529696062 |
23 | 295916 | 300104.2582578 | -4188.25825779984 |
24 | 291413 | 294138.528195965 | -2725.52819596475 |
25 | 291542 | 285587.964350982 | 5954.03564901819 |
26 | 284678 | 282552.53942915 | 2125.46057084994 |
27 | 276475 | 274694.570990146 | 1780.42900985375 |
28 | 272566 | 269931.779598843 | 2634.22040115687 |
29 | 264981 | 270045.297708218 | -5064.29770821839 |
30 | 263290 | 268894.261140499 | -5604.2611404988 |
31 | 296806 | 288784.881974550 | 8021.11802545033 |
32 | 303598 | 294530.047742695 | 9067.95225730474 |
33 | 286994 | 294008.802320778 | -7014.8023207782 |
34 | 276427 | 275293.440690815 | 1133.55930918502 |
35 | 266424 | 266588.099845105 | -164.099845105084 |
36 | 267153 | 266285.232056573 | 867.767943427025 |
37 | 268381 | 267653.649470515 | 727.350529485324 |
38 | 262522 | 262469.004799314 | 52.9952006864478 |
39 | 255542 | 255188.113642516 | 353.886357483512 |
40 | 253158 | 251510.356241818 | 1647.64375818230 |
41 | 243803 | 248553.547955925 | -4750.54795592546 |
42 | 250741 | 248533.223778547 | 2207.77622145310 |
43 | 280445 | 282461.982068065 | -2016.98206806486 |
44 | 285257 | 284087.228421378 | 1169.77157862228 |
45 | 270976 | 270103.206449268 | 872.793550731905 |
46 | 261076 | 259994.938177361 | 1081.06182263902 |
47 | 255603 | 251218.895783996 | 4384.10421600423 |
48 | 260376 | 255641.874847082 | 4734.12515291807 |
49 | 263903 | 261912.111314452 | 1990.88868554833 |
50 | 264291 | 260376.818950993 | 3914.18104900717 |
51 | 263276 | 259655.933100468 | 3620.06689953234 |
52 | 262572 | 263628.897450846 | -1056.89745084598 |
53 | 256167 | 260761.16209574 | -4594.16209574009 |
54 | 264221 | 268773.026160229 | -4552.02616022911 |
55 | 293860 | 299858.269135979 | -5998.26913597935 |
56 | 300713 | 302516.661566683 | -1803.66156668309 |
57 | 287224 | 287576.887044053 | -352.887044053408 |
58 | 275902 | 277317.637664595 | -1415.63766459492 |
59 | 271115 | 268509.2566162 | 2605.74338380009 |
60 | 277509 | 271353.111324632 | 6155.88867536822 |
61 | 279681 | 276625.483949213 | 3055.51605078712 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
62 | 276447.621430008 | 268944.816224921 | 283950.426635096 |
63 | 272324.096759681 | 262702.928599385 | 281945.264919978 |
64 | 269919.961349259 | 257314.536413130 | 282525.386285388 |
65 | 263953.017846731 | 247696.239408473 | 280209.796284989 |
66 | 273722.188303240 | 253283.832817304 | 294160.543789175 |
67 | 307115.503299307 | 282051.016405556 | 332179.990193059 |
68 | 317237.700184815 | 287157.966041817 | 347317.434327813 |
69 | 306773.501405897 | 271327.581194132 | 342219.421617662 |
70 | 299128.704904528 | 257993.583171717 | 340263.826637338 |
71 | 296328.102702328 | 249202.244374373 | 343453.961030284 |
72 | 302125.666158217 | 248724.736528957 | 355526.595787477 |
73 | 303572.786806536 | 243626.663475406 | 363518.910137667 |