| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.688967277470754 |
| gamma | 0.0346590184648955 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 481.5 | 298.600961538462 | 182.899038461538 |
| 14 | 416.7 | 541.762414119326 | -125.062414119326 |
| 15 | 603 | 625.161003149614 | -22.161003149614 |
| 16 | 499.2 | 480.667797143604 | 18.5322028563963 |
| 17 | 551.4 | 538.135878491111 | 13.2641215088894 |
| 18 | 613.5 | 621.811924175131 | -8.31192417513137 |
| 19 | 776.1 | 866.797780405648 | -90.6977804056479 |
| 20 | 956.4 | 888.522477566928 | 67.8775224330716 |
| 21 | 1351.2 | 1067.9753693991 | 283.224630600899 |
| 22 | 1593.6 | 1554.62037205686 | 38.9796279431368 |
| 23 | 1488.6 | 1864.07606019767 | -375.476060197668 |
| 24 | 1361.7 | 1567.74784124784 | -206.047841247836 |
| 25 | 1774.8 | 1306.52512103459 | 468.274878965412 |
| 26 | 1893 | 1878.05118950333 | 14.9488104966651 |
| 27 | 1716.9 | 2240.91293077265 | -524.012930772648 |
| 28 | 1453.8 | 1388.26016849875 | 65.5398315012535 |
| 29 | 1869.6 | 1318.81496777406 | 550.785032225943 |
| 30 | 2110.8 | 2136.42533189841 | -25.6253318984063 |
| 31 | 2106.9 | 2548.58281674608 | -441.682816746078 |
| 32 | 2845.2 | 2161.99030898692 | 683.209691013082 |
| 33 | 3255 | 3323.38692974584 | -68.3869297458364 |
| 34 | 4645.8 | 3582.78307294426 | 1063.01692705574 |
| 35 | 4773 | 5746.16695108318 | -973.166951083183 |
| 36 | 6724.2 | 5270.24926627089 | 1453.95073372911 |
| 37 | 9043.8 | 8230.81124486484 | 812.988755135158 |
| 38 | 9135.3 | 10946.3338941046 | -1811.03389410465 |
| 39 | 11113.8 | 10024.4533026761 | 1089.34669732389 |
| 40 | 14501.4 | 12437.9525309531 | 2063.44746904689 |
| 41 | 19131.3 | 17395.7003159063 | 1735.59968409373 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 42 | 23243.7092050354 | 21708.8362120853 | 24778.5821979856 |
| 43 | 27544.7309100709 | 24532.0717896471 | 30557.3900304946 |
| 44 | 31767.3651151063 | 27034.7806250509 | 36499.9496051616 |
| 45 | 35942.3868201417 | 29267.3531584463 | 42617.420481837 |
| 46 | 40014.1210251771 | 31194.3258685427 | 48833.9161818115 |
| 47 | 44126.0552302126 | 32975.6288277135 | 55276.4816327116 |
| 48 | 48305.351935248 | 34651.6982929517 | 61959.0055775443 |
| 49 | 52492.2861402834 | 36173.7062564491 | 68810.8660241177 |
| 50 | 56515.0203453188 | 37378.931397397 | 75651.1092932407 |
| 51 | 60772.1170503543 | 38673.6934296922 | 82870.5406710164 |
| 52 | 64713.6887553897 | 39514.8029734188 | 89912.5745373606 |
| 53 | 68803.7604604251 | 40372.1412492743 | 97235.3796715759 |
