| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.519991743636808 |
| beta | 0.543769083911554 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 313218 | 314937.831730769 | -1719.83173076907 |
| 14 | 309664 | 309777.65862079 | -113.658620790171 |
| 15 | 302963 | 302465.419674193 | 497.58032580663 |
| 16 | 298989 | 298846.921807562 | 142.078192437883 |
| 17 | 298423 | 298895.697481043 | -472.697481043055 |
| 18 | 301631 | 302609.303765351 | -978.303765351477 |
| 19 | 329765 | 326328.711583789 | 3436.28841621097 |
| 20 | 335083 | 332202.633444242 | 2880.36655575788 |
| 21 | 327616 | 332860.128156266 | -5244.12815626553 |
| 22 | 309119 | 317631.355296959 | -8512.35529695865 |
| 23 | 295916 | 300104.258257802 | -4188.25825780234 |
| 24 | 291413 | 294138.528195972 | -2725.52819597209 |
| 25 | 291542 | 285587.964350992 | 5954.03564900812 |
| 26 | 284678 | 282552.539429156 | 2125.46057084354 |
| 27 | 276475 | 274694.570990147 | 1780.42900985287 |
| 28 | 272566 | 269931.779598841 | 2634.22040115937 |
| 29 | 264981 | 270045.297708214 | -5064.29770821409 |
| 30 | 263290 | 268894.261140495 | -5604.26114049536 |
| 31 | 296806 | 288784.881974549 | 8021.11802545103 |
| 32 | 303598 | 294530.047742697 | 9067.95225730276 |
| 33 | 286994 | 294008.802320779 | -7014.80232077895 |
| 34 | 276427 | 275293.440690812 | 1133.55930918816 |
| 35 | 266424 | 266588.099845099 | -164.099845098564 |
| 36 | 267153 | 266285.232056567 | 867.767943433078 |
| 37 | 268381 | 267653.64947051 | 727.350529489981 |
| 38 | 262522 | 262469.004799316 | 52.9952006842941 |
| 39 | 255542 | 255188.113642521 | 353.886357478739 |
| 40 | 253158 | 251510.356241821 | 1647.64375817851 |
| 41 | 243803 | 248553.547955929 | -4750.54795592907 |
| 42 | 250741 | 248533.223778547 | 2207.77622145318 |
| 43 | 280445 | 282461.982068058 | -2016.98206805752 |
| 44 | 285257 | 284087.228421374 | 1169.77157862589 |
| 45 | 270976 | 270103.206449277 | 872.793550723232 |
| 46 | 261076 | 259994.938177365 | 1081.0618226353 |
| 47 | 255603 | 251218.895783994 | 4384.10421600615 |
| 48 | 260376 | 255641.874847074 | 4734.12515292558 |
| 49 | 263903 | 261912.111314441 | 1990.88868555933 |
| 50 | 264291 | 260376.818950984 | 3914.18104901578 |
| 51 | 263276 | 259655.933100463 | 3620.06689953711 |
| 52 | 262572 | 263628.897450843 | -1056.89745084295 |
| 53 | 256167 | 260761.162095742 | -4594.16209574178 |
| 54 | 264221 | 268773.026160229 | -4552.02616022876 |
| 55 | 293860 | 299858.269135979 | -5998.26913597912 |
| 56 | 300713 | 302516.661566684 | -1803.66156668362 |
| 57 | 287224 | 287576.887044062 | -352.887044062431 |
| 58 | 275902 | 277317.637664606 | -1415.63766460633 |
| 59 | 271115 | 268509.256616208 | 2605.74338379246 |
| 60 | 277509 | 271353.111324634 | 6155.88867536606 |
| 61 | 279681 | 276625.483949209 | 3055.51605079114 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 62 | 276447.621429999 | 268944.816224911 | 283950.426635086 |
| 63 | 272324.096759665 | 262702.928599369 | 281945.26491996 |
| 64 | 269919.961349239 | 257314.536413115 | 282525.386285363 |
| 65 | 263953.017846709 | 247696.239408461 | 280209.796284956 |
| 66 | 273722.188303212 | 253283.832817293 | 294160.54378913 |
| 67 | 307115.503299272 | 282051.016405545 | 332179.990193 |
| 68 | 317237.700184769 | 287157.966041803 | 347317.434327735 |
| 69 | 306773.501405843 | 271327.58119412 | 342219.421617566 |
| 70 | 299128.704904469 | 257993.58317171 | 340263.826637228 |
| 71 | 296328.102702265 | 249202.244374371 | 343453.961030159 |
| 72 | 302125.666158149 | 248724.736528962 | 355526.595787336 |
| 73 | 303572.786806465 | 243626.663475418 | 363518.910137511 |
