| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.731983554074229 |
| beta | 0.0105744478801132 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 8.29 | 8.18600694444445 | 0.103993055555552 |
| 14 | 8.27 | 8.23780051482116 | 0.0321994851788414 |
| 15 | 8.27 | 8.26354160677549 | 0.00645839322451103 |
| 16 | 8.43 | 8.43424063279812 | -0.00424063279812081 |
| 17 | 8.46 | 8.47124199053114 | -0.0112419905311434 |
| 18 | 8.48 | 8.49928145292143 | -0.0192814529214296 |
| 19 | 8.46 | 8.35253691640531 | 0.107463083594688 |
| 20 | 8.46 | 8.49189909505162 | -0.0318990950516191 |
| 21 | 8.43 | 8.5506702082702 | -0.120670208270198 |
| 22 | 8.4 | 8.4264449669418 | -0.0264449669417992 |
| 23 | 8.38 | 8.49140302675327 | -0.111403026753266 |
| 24 | 8.3 | 8.361227555371 | -0.0612275553710102 |
| 25 | 8.39 | 8.30559429868584 | 0.0844057013141626 |
| 26 | 8.53 | 8.32260181139872 | 0.20739818860128 |
| 27 | 8.52 | 8.46983595242318 | 0.0501640475768159 |
| 28 | 8.54 | 8.67014709500729 | -0.13014709500729 |
| 29 | 8.62 | 8.61262376876823 | 0.007376231231774 |
| 30 | 8.52 | 8.65179412092145 | -0.131794120921455 |
| 31 | 8.49 | 8.45544826351241 | 0.0345517364875914 |
| 32 | 8.44 | 8.5023113035444 | -0.0623113035444032 |
| 33 | 8.31 | 8.51301578594351 | -0.203015785943512 |
| 34 | 8.26 | 8.35111819292922 | -0.0911181929292244 |
| 35 | 8.21 | 8.34281510871978 | -0.132815108719781 |
| 36 | 8.03 | 8.20709721161844 | -0.17709721161844 |
| 37 | 7.89 | 8.10146752619301 | -0.211467526193014 |
| 38 | 7.83 | 7.92836070374696 | -0.0983607037469643 |
| 39 | 7.85 | 7.80077234829062 | 0.0492276517093826 |
| 40 | 7.84 | 7.9431937847836 | -0.103193784783596 |
| 41 | 7.88 | 7.93358905066529 | -0.0535890506652912 |
| 42 | 8.01 | 7.88169268420754 | 0.128307315792455 |
| 43 | 8.08 | 7.91319230348858 | 0.166807696511417 |
| 44 | 8.11 | 8.02479942429184 | 0.0852005757081642 |
| 45 | 8.11 | 8.10080663130807 | 0.00919336869192833 |
| 46 | 8.07 | 8.1209131821462 | -0.0509131821461999 |
| 47 | 8.06 | 8.12785538262013 | -0.0678553826201291 |
| 48 | 7.95 | 8.0253127512322 | -0.075312751232203 |
| 49 | 7.95 | 7.98325779817257 | -0.033257798172567 |
| 50 | 8.07 | 7.97057344590386 | 0.0994265540961425 |
| 51 | 8.17 | 8.0285105454636 | 0.141489454536407 |
| 52 | 8.21 | 8.1995211172403 | 0.0104788827597098 |
| 53 | 8.2 | 8.28920411853051 | -0.089204118530514 |
| 54 | 8.19 | 8.26249998137135 | -0.0724999813713545 |
| 55 | 8.18 | 8.15828703925754 | 0.0217129607424589 |
| 56 | 8.16 | 8.14164841170842 | 0.0183515882915781 |
| 57 | 8.17 | 8.14766790764906 | 0.0223320923509380 |
| 58 | 8.17 | 8.16069977175474 | 0.00930022824526056 |
| 59 | 8.19 | 8.20706000895451 | -0.0170600089545108 |
| 60 | 8.01 | 8.13997682976858 | -0.129976829768578 |
| 61 | 8.04 | 8.06903374319487 | -0.0290337431948728 |
| 62 | 8.13 | 8.09488926769235 | 0.0351107323076523 |
| 63 | 8.14 | 8.11641031681687 | 0.0235896831831326 |
| 64 | 8.17 | 8.16448314921984 | 0.00551685078015929 |
| 65 | 8.25 | 8.22225487536849 | 0.0277451246315117 |
| 66 | 8.27 | 8.2849754035192 | -0.0149754035191947 |
| 67 | 8.27 | 8.24790814218609 | 0.0220918578139084 |
| 68 | 8.26 | 8.23043690868187 | 0.0295630913181295 |
| 69 | 8.24 | 8.24560761236589 | -0.00560761236588725 |
| 70 | 8.21 | 8.23435678726281 | -0.024356787262807 |
| 71 | 8.25 | 8.24841661845882 | 0.00158338154117921 |
| 72 | 8.06 | 8.16426178826803 | -0.104261788268026 |
| 73 | 8.16 | 8.13894039792921 | 0.0210596020707889 |
| 74 | 8.32 | 8.21878724175905 | 0.101212758240948 |
| 75 | 8.43 | 8.28624974715914 | 0.143750252840855 |
| 76 | 8.39 | 8.41900809662625 | -0.0290080966262494 |
| 77 | 8.41 | 8.45877221035183 | -0.0487722103518315 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 78 | 8.45474777309023 | 8.28380953700138 | 8.62568600917908 |
| 79 | 8.43940708045606 | 8.2267835909739 | 8.65203056993821 |
| 80 | 8.40842656967638 | 8.16036614309418 | 8.65648699625858 |
| 81 | 8.39296160773423 | 8.11332065453893 | 8.67260256092952 |
| 82 | 8.38126413819412 | 8.07270699282208 | 8.68982128356615 |
| 83 | 8.42076742107446 | 8.08526358461096 | 8.75627125753795 |
| 84 | 8.30773537165044 | 7.9468080923464 | 8.66866265095448 |
| 85 | 8.39377714533211 | 8.00864334620577 | 8.77891094445845 |
| 86 | 8.48098511879009 | 8.0726409595202 | 8.88932927805997 |
| 87 | 8.48627292643602 | 8.05554943071757 | 8.91699642215447 |
| 88 | 8.4669043314847 | 8.01450530786855 | 8.91930335510085 |
| 89 | 8.52222727474816 | 8.0487561625336 | 8.99569838696272 |
