| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.836733274783946 |
| beta | 0.00571230996515615 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 1.58 | 1.48268696581197 | 0.0973130341880326 |
| 14 | 1.59 | 1.56672749438373 | 0.0232725056162744 |
| 15 | 1.8 | 1.78392708414244 | 0.0160729158575561 |
| 16 | 1.99 | 1.97767936097688 | 0.0123206390231181 |
| 17 | 2.06 | 2.05876753830416 | 0.00123246169583524 |
| 18 | 2.06 | 2.07266709281064 | -0.0126670928106405 |
| 19 | 2.08 | 2.03404254957561 | 0.0459574504243911 |
| 20 | 2 | 1.86594077428288 | 0.134059225717118 |
| 21 | 1.85 | 1.87636411278813 | -0.0263641127881282 |
| 22 | 1.77 | 1.81409656056281 | -0.0440965605628096 |
| 23 | 1.7 | 1.92886424513356 | -0.228864245133563 |
| 24 | 1.66 | 1.76710342877101 | -0.107103428771011 |
| 25 | 1.67 | 1.69343333267237 | -0.0234333326723666 |
| 26 | 1.73 | 1.66335111787722 | 0.0666488821227764 |
| 27 | 1.91 | 1.91487515117494 | -0.0048751511749392 |
| 28 | 2.02 | 2.08959217569594 | -0.0695921756959352 |
| 29 | 2.07 | 2.09904464225383 | -0.0290446422538309 |
| 30 | 2.15 | 2.08391008415052 | 0.0660899158494783 |
| 31 | 2.1 | 2.11970110363563 | -0.0197011036356267 |
| 32 | 1.68 | 1.90967640861885 | -0.229676408618849 |
| 33 | 1.68 | 1.58645139454636 | 0.0935486054536363 |
| 34 | 1.65 | 1.61908997848727 | 0.0309100215127311 |
| 35 | 1.72 | 1.76427655219160 | -0.0442765521915973 |
| 36 | 1.73 | 1.77555296131678 | -0.0455529613167778 |
| 37 | 1.76 | 1.76604599447201 | -0.00604599447200727 |
| 38 | 1.84 | 1.76430414069630 | 0.075695859303704 |
| 39 | 1.99 | 2.01084819617850 | -0.0208481961784972 |
| 40 | 2.05 | 2.16068516977695 | -0.110685169776952 |
| 41 | 2.12 | 2.14122867646356 | -0.0212286764635632 |
| 42 | 2.13 | 2.14705851521806 | -0.0170585152180607 |
| 43 | 2.08 | 2.09776444445036 | -0.0177644444503615 |
| 44 | 1.88 | 1.85358228037756 | 0.0264177196224447 |
| 45 | 1.81 | 1.79713972655720 | 0.0128602734427978 |
| 46 | 1.81 | 1.75137932947343 | 0.0586206705265735 |
| 47 | 1.88 | 1.90695173536237 | -0.0269517353623734 |
| 48 | 1.87 | 1.93207368290545 | -0.0620736829054451 |
| 49 | 1.87 | 1.91467217075956 | -0.0446721707595563 |
| 50 | 1.9 | 1.89325033310556 | 0.00674966689444045 |
| 51 | 2.01 | 2.06530694104696 | -0.0553069410469638 |
| 52 | 2.05 | 2.17044360355169 | -0.120443603551688 |
| 53 | 2.16 | 2.15618038634051 | 0.00381961365948635 |
| 54 | 2.18 | 2.18252274793323 | -0.00252274793322771 |
| 55 | 2.15 | 2.14421839533253 | 0.00578160466747102 |
| 56 | 2.12 | 1.92600642662259 | 0.193993573377411 |
| 57 | 2.04 | 2.00742260011159 | 0.0325773998884089 |
| 58 | 2.04 | 1.98558148479818 | 0.0544185152018208 |
| 59 | 2.06 | 2.12359675187947 | -0.0635967518794693 |
| 60 | 1.93 | 2.11207726879975 | -0.182077268799748 |
| 61 | 1.86 | 1.99628719183693 | -0.136287191836930 |
| 62 | 1.94 | 1.90534694284039 | 0.0346530571596109 |
| 63 | 2.35 | 2.08949628623537 | 0.260503713764634 |
| 64 | 2.46 | 2.44863387588456 | 0.0113661241154368 |
| 65 | 2.59 | 2.56596459389842 | 0.0240354061015844 |
| 66 | 2.66 | 2.60929961171829 | 0.0507003882817103 |
| 67 | 2.41 | 2.61825196880358 | -0.208251968803575 |
| 68 | 2.18 | 2.25202404324695 | -0.0720240432469472 |
| 69 | 2.13 | 2.08357336036995 | 0.0464266396300488 |
| 70 | 2.11 | 2.07602531226766 | 0.0339746877323392 |
| 71 | 2.12 | 2.1767078876263 | -0.0567078876263016 |
| 72 | 2.16 | 2.15068285222554 | 0.00931714777445602 |
| 73 | 2.07 | 2.20250388389495 | -0.132503883894955 |
| 74 | 2.2 | 2.14264522796776 | 0.0573547720322414 |
| 75 | 2.29 | 2.38277937437592 | -0.0927793743759198 |
| 76 | 2.32 | 2.40406441601359 | -0.0840644160135908 |
| 77 | 2.37 | 2.44158461606873 | -0.0715846160687259 |
| 78 | 2.38 | 2.40677856904803 | -0.0267785690480333 |
| 79 | 2.38 | 2.30576696162897 | 0.0742330383710317 |
| 80 | 2.28 | 2.19663887689812 | 0.0833611231018758 |
| 81 | 2.22 | 2.17677962795706 | 0.0432203720429358 |
| 82 | 2.25 | 2.1637369144865 | 0.0862630855135018 |
| 83 | 2.3 | 2.29283652165931 | 0.00716347834068687 |
| 84 | 2.3 | 2.33081079607892 | -0.0308107960789186 |
| 85 | 2.23 | 2.32548530904424 | -0.0954853090442436 |
| 86 | 2.27 | 2.32736038699631 | -0.0573603869963124 |
| 87 | 2.3 | 2.44620979007434 | -0.146209790074337 |
| 88 | 2.32 | 2.42316846522228 | -0.103168465222284 |
| 89 | 2.41 | 2.44560767394966 | -0.0356076739496585 |
| 90 | 2.43 | 2.44725849261619 | -0.0172584926161896 |
| 91 | 2.45 | 2.36978841171978 | 0.0802115882802243 |
| 92 | 2.47 | 2.26626559413031 | 0.203734405869694 |
| 93 | 2.46 | 2.34026087604981 | 0.119739123950191 |
| 94 | 2.5 | 2.39832497519922 | 0.101675024800781 |
| 95 | 2.46 | 2.52753317899041 | -0.0675331789904101 |
| 96 | 2.43 | 2.49657656118980 | -0.0665765611898044 |
| 97 | 2.37 | 2.45036474545687 | -0.080364745456869 |
| 98 | 2.45 | 2.47078777772548 | -0.0207877777254817 |
| 99 | 2.53 | 2.60557889866838 | -0.0755788986683825 |
| 100 | 2.56 | 2.64884794990773 | -0.0888479499077328 |
| 101 | 2.62 | 2.69455242979988 | -0.0745524297998825 |
| 102 | 2.67 | 2.66667893299608 | 0.00332106700392165 |
| 103 | 2.62 | 2.62250668591578 | -0.00250668591578318 |
| 104 | 2.6 | 2.46970714551195 | 0.130292854488054 |
| 105 | 2.53 | 2.46795601964556 | 0.0620439803544404 |
| 106 | 2.49 | 2.47393785834857 | 0.0160621416514268 |
| 107 | 2.48 | 2.5026180948813 | -0.0226180948812997 |
| 108 | 2.44 | 2.50834753620686 | -0.0683475362068608 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 109 | 2.45734220021959 | 2.29063229477104 | 2.62405210566815 |
| 110 | 2.55405960846692 | 2.33617645524042 | 2.77194276169343 |
| 111 | 2.69672192969166 | 2.43714891742680 | 2.95629494195653 |
| 112 | 2.80084815055025 | 2.50502945079008 | 3.09666685031042 |
| 113 | 2.92343749880781 | 2.59500789965651 | 3.2518670979591 |
| 114 | 2.97122383781036 | 2.61282278598009 | 3.32962488964063 |
| 115 | 2.9238705779611 | 2.53752111175853 | 3.31022004416367 |
| 116 | 2.79541150493603 | 2.38272389949007 | 3.208099110382 |
| 117 | 2.67343577773733 | 2.23572807531673 | 3.11114348015793 |
| 118 | 2.6196380346561 | 2.15801253808131 | 3.08126353123089 |
| 119 | 2.62812856066394 | 2.14352302156882 | 3.11273409975906 |
| 120 | 2.64499053911791 | 2.13821387143904 | 3.15176720679678 |
