| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0597923238698339 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 0.9 | 0.9 | 0 |
| 4 | 0.9 | 0.9 | 0 |
| 5 | 0.9 | 0.9 | 0 |
| 6 | 0.91 | 0.9 | 0.01 |
| 7 | 0.91 | 0.910597923238698 | -0.000597923238698339 |
| 8 | 0.91 | 0.910562172018761 | -0.000562172018760743 |
| 9 | 0.91 | 0.910528558447344 | -0.000528558447344452 |
| 10 | 0.91 | 0.910496954709477 | -0.000496954709476749 |
| 11 | 0.92 | 0.910467240632539 | 0.00953275936746101 |
| 12 | 0.92 | 0.921037226468012 | -0.00103722646801152 |
| 13 | 0.92 | 0.92097520828711 | -0.00097520828710973 |
| 14 | 0.92 | 0.920916898317366 | -0.000916898317366299 |
| 15 | 0.92 | 0.920862074836219 | -0.000862074836218696 |
| 16 | 0.93 | 0.920810529378411 | 0.00918947062158859 |
| 17 | 0.93 | 0.93135998918201 | -0.00135998918200986 |
| 18 | 0.93 | 0.93127867226838 | -0.00127867226837963 |
| 19 | 0.93 | 0.931202217481985 | -0.00120221748198523 |
| 20 | 0.93 | 0.931130334104941 | -0.00113033410494046 |
| 21 | 0.92 | 0.931062748802057 | -0.0110627488020567 |
| 22 | 0.93 | 0.920401281342794 | 0.00959871865720652 |
| 23 | 0.93 | 0.930975211037481 | -0.000975211037480661 |
| 24 | 0.93 | 0.930916900903286 | -0.000916900903286111 |
| 25 | 0.94 | 0.93086207726752 | 0.0091379227324796 |
| 26 | 0.95 | 0.941408454903038 | 0.00859154509696169 |
| 27 | 0.95 | 0.951922163350018 | -0.00192216335001805 |
| 28 | 0.96 | 0.951807232736463 | 0.0081927672635369 |
| 29 | 0.97 | 0.962297097330075 | 0.00770290266992535 |
| 30 | 0.97 | 0.972757671781253 | -0.00275767178125264 |
| 31 | 0.97 | 0.972592784176981 | -0.00259278417698128 |
| 32 | 0.98 | 0.972437755585747 | 0.00756224441425335 |
| 33 | 0.98 | 0.982889919752946 | -0.0028899197529465 |
| 34 | 0.98 | 0.982717124735121 | -0.00271712473512054 |
| 35 | 0.98 | 0.982554661532963 | -0.00255466153296346 |
| 36 | 0.98 | 0.982401912383207 | -0.00240191238320664 |
| 37 | 0.98 | 0.982258296460083 | -0.00225829646008302 |
| 38 | 1 | 0.982123267666748 | 0.0178767323332524 |
| 39 | 1.01 | 1.00319215903615 | 0.00680784096384812 |
| 40 | 1.01 | 1.01359921566792 | -0.00359921566791654 |
| 41 | 1.02 | 1.01338401019902 | 0.006615989800977 |
| 42 | 1.02 | 1.02377959560392 | -0.0037795956039226 |
| 43 | 1.02 | 1.02355360479948 | -0.00355360479947597 |
| 44 | 1.02 | 1.0233411265104 | -0.00334112651040019 |
| 45 | 1.03 | 1.023141352792 | 0.00685864720799967 |
| 46 | 1.03 | 1.03355144724717 | -0.00355144724716983 |
| 47 | 1.03 | 1.03333909796316 | -0.00333909796316045 |
| 48 | 1.03 | 1.03313944553631 | -0.00313944553631407 |
| 49 | 1.03 | 1.03295173079204 | -0.00295173079203503 |
| 50 | 1.04 | 1.03277523994854 | 0.00722476005145878 |
| 51 | 1.05 | 1.04320722514142 | 0.0067927748585801 |
| 52 | 1.05 | 1.05361338093574 | -0.00361338093573904 |
| 53 | 1.05 | 1.05339732849256 | -0.00339732849256413 |
| 54 | 1.05 | 1.05319419432704 | -0.0031941943270446 |
| 55 | 1.06 | 1.05300320602534 | 0.00699679397466135 |
| 56 | 1.06 | 1.06342156059672 | -0.00342156059672227 |
| 57 | 1.06 | 1.06321697753738 | -0.0032169775373827 |
| 58 | 1.06 | 1.06302462697459 | -0.0030246269745855 |
| 59 | 1.06 | 1.06284377749894 | -0.00284377749893561 |
| 60 | 1.06 | 1.06267374143371 | -0.00267374143370547 |
| 61 | 1.06 | 1.06251387221996 | -0.00251387221995736 |
| 62 | 1.07 | 1.06236356195801 | 0.00763643804198577 |
| 63 | 1.08 | 1.07282016233463 | 0.00717983766536756 |
| 64 | 1.09 | 1.08324946151365 | 0.0067505384863471 |
| 65 | 1.09 | 1.09365309189712 | -0.00365309189712448 |
| 66 | 1.09 | 1.09343466504329 | -0.00343466504328527 |
| 67 | 1.09 | 1.09322929843863 | -0.00322929843863284 |
| 68 | 1.09 | 1.09303621118052 | -0.00303621118051778 |
| 69 | 1.09 | 1.09285466905827 | -0.00285466905827492 |
| 70 | 1.09 | 1.0926839817614 | -0.0026839817614015 |
| 71 | 1.09 | 1.09252350025466 | -0.00252350025466308 |
| 72 | 1.09 | 1.09237261431015 | -0.00237261431015057 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 1.0922307501869 | 1.08197998914834 | 1.10248151122546 |
| 74 | 1.0944615003738 | 1.0795250483664 | 1.1093979523812 |
| 75 | 1.0966922505607 | 1.07785585429799 | 1.1155286468234 |
| 76 | 1.0989230007476 | 1.07654072846071 | 1.12130527303449 |
| 77 | 1.1011537509345 | 1.0754182152239 | 1.1268892866451 |
| 78 | 1.1033845011214 | 1.07440836930582 | 1.13236063293698 |
| 79 | 1.1056152513083 | 1.07346540376843 | 1.13776509884817 |
| 80 | 1.1078460014952 | 1.07256061389769 | 1.14313138909271 |
| 81 | 1.1100767516821 | 1.07167486120429 | 1.14847864215991 |
| 82 | 1.112307501869 | 1.07079480653381 | 1.15382019720418 |
| 83 | 1.1145382520559 | 1.06991083943608 | 1.15916566467571 |
| 84 | 1.1167690022428 | 1.06901585809733 | 1.16452214638827 |
