| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.327366976611456 |
| beta | 0.0426741524472546 |
| gamma | 0.625912584003787 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 7878 | 7988.59029958755 | -110.590299587550 |
| 14 | 7407 | 7488.2790801246 | -81.279080124601 |
| 15 | 7911 | 7957.03397465224 | -46.0339746522377 |
| 16 | 7323 | 7320.39988730651 | 2.60011269348706 |
| 17 | 7179 | 7157.77597266192 | 21.2240273380803 |
| 18 | 6758 | 6694.42051623206 | 63.5794837679405 |
| 19 | 6934 | 7045.18551378264 | -111.185513782641 |
| 20 | 6696 | 6887.3713435908 | -191.371343590807 |
| 21 | 7688 | 7092.25811729323 | 595.741882706774 |
| 22 | 8296 | 8137.65718544235 | 158.342814557647 |
| 23 | 7697 | 7665.89759711354 | 31.102402886464 |
| 24 | 7907 | 7001.03249965228 | 905.967500347724 |
| 25 | 7592 | 8313.8716567144 | -721.8716567144 |
| 26 | 7710 | 7626.19133568407 | 83.8086643159295 |
| 27 | 9011 | 8192.96861575676 | 818.03138424324 |
| 28 | 8225 | 7843.02108207557 | 381.978917924434 |
| 29 | 7733 | 7827.77997673001 | -94.7799767300121 |
| 30 | 8062 | 7330.61346112378 | 731.38653887622 |
| 31 | 7859 | 7894.26749917752 | -35.2674991775248 |
| 32 | 8221 | 7743.35388905604 | 477.646110943964 |
| 33 | 8330 | 8644.94391775863 | -314.943917758626 |
| 34 | 8868 | 9336.47248048307 | -468.472480483069 |
| 35 | 9053 | 8570.00870177085 | 482.991298229152 |
| 36 | 8811 | 8396.0938741835 | 414.906125816506 |
| 37 | 8120 | 8915.39275819 | -795.392758189999 |
| 38 | 7953 | 8554.9567097821 | -601.956709782096 |
| 39 | 8878 | 9285.32389313345 | -407.323893133447 |
| 40 | 8601 | 8315.66645620527 | 285.333543794732 |
| 41 | 8361 | 8053.8759117906 | 307.124088209405 |
| 42 | 9116 | 8022.83409647932 | 1093.16590352068 |
| 43 | 9310 | 8388.98157355441 | 921.01842644559 |
| 44 | 9891 | 8789.83347775561 | 1101.16652224439 |
| 45 | 10147 | 9640.70611858565 | 506.293881414345 |
| 46 | 10317 | 10695.2006147717 | -378.200614771651 |
| 47 | 10682 | 10359.0748719003 | 322.925128099738 |
| 48 | 10276 | 10075.7969468298 | 200.203053170177 |
| 49 | 10614 | 10015.1052583161 | 598.894741683946 |
| 50 | 9413 | 10232.1749382142 | -819.17493821419 |
| 51 | 11068 | 11257.6606109571 | -189.660610957097 |
| 52 | 9772 | 10570.8562371889 | -798.856237188917 |
| 53 | 10350 | 9927.91389587363 | 422.086104126372 |
| 54 | 10541 | 10324.4336543782 | 216.566345621834 |
| 55 | 10049 | 10328.6378459917 | -279.637845991676 |
| 56 | 10714 | 10421.4859564639 | 292.514043536137 |
| 57 | 10759 | 10771.2971297291 | -12.2971297291479 |
| 58 | 11684 | 11308.5917572169 | 375.40824278306 |
| 59 | 11462 | 11518.4855746003 | -56.4855746003213 |
| 60 | 10485 | 11014.4682379027 | -529.468237902713 |
| 61 | 11056 | 10864.7626485383 | 191.237351461694 |
| 62 | 10184 | 10296.9951938175 | -112.995193817542 |
| 63 | 11082 | 11909.7085981216 | -827.708598121644 |
| 64 | 10554 | 10689.2533019295 | -135.253301929491 |
| 65 | 11315 | 10774.1326579238 | 540.867342076201 |
| 66 | 10847 | 11125.3832385839 | -278.383238583918 |
| 67 | 11104 | 10728.8365580329 | 375.163441967126 |
| 68 | 11026 | 11299.9780402019 | -273.978040201899 |
| 69 | 11073 | 11329.2175760589 | -256.217576058913 |
| 70 | 12073 | 11962.4872741234 | 110.512725876644 |
| 71 | 12328 | 11880.2484368985 | 447.75156310145 |
| 72 | 11172 | 11292.4070319556 | -120.407031955603 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 11590.8575216106 | 10900.3619127246 | 12281.3531304966 |
| 74 | 10782.2288339019 | 10032.7721662918 | 11531.6855015120 |
| 75 | 12188.3363145687 | 11340.7220168244 | 13035.9506123130 |
| 76 | 11478.7523584966 | 10588.1116369936 | 12369.3930799996 |
| 77 | 11926.2237523265 | 10952.7057488215 | 12899.7417558315 |
| 78 | 11738.7274116542 | 10709.7968571295 | 12767.6579661790 |
| 79 | 11703.5545918015 | 10612.3932662784 | 12794.7159173246 |
| 80 | 11882.9295313902 | 10716.3255212149 | 13049.5335415656 |
| 81 | 12015.2793557698 | 10775.2274279979 | 13255.3312835417 |
| 82 | 12956.6264585984 | 11578.1553862945 | 14335.0975309023 |
| 83 | 12979.2913692166 | 11533.8707929497 | 14424.7119454835 |
| 84 | 11938.9725026859 | 10703.1314317884 | 13174.8135735835 |
