| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.613228226825395 |
| beta | 0.0634702581194647 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 4.8 | 4.54237179487179 | 0.257628205128206 |
| 14 | 4.81 | 4.71536945510115 | 0.0946305448988474 |
| 15 | 5.16 | 5.13542886927927 | 0.0245711307207346 |
| 16 | 5.26 | 5.26598222463006 | -0.00598222463005982 |
| 17 | 5.29 | 5.3079832280477 | -0.0179832280477044 |
| 18 | 5.29 | 5.31234160531072 | -0.0223416053107162 |
| 19 | 5.29 | 5.20315772815054 | 0.0868422718494593 |
| 20 | 5.3 | 5.34680853990729 | -0.0468085399072908 |
| 21 | 5.3 | 5.40167903088866 | -0.101679030888662 |
| 22 | 5.3 | 5.36019386176927 | -0.0601938617692719 |
| 23 | 5.3 | 5.32638905201122 | -0.0263890520112229 |
| 24 | 5.3 | 5.32103719761275 | -0.0210371976127464 |
| 25 | 5.3 | 5.40779176448748 | -0.107791764487478 |
| 26 | 5.3 | 5.28571432583751 | 0.014285674162493 |
| 27 | 5.3 | 5.61833346547379 | -0.318333465473786 |
| 28 | 5.35 | 5.50237089154342 | -0.152370891543423 |
| 29 | 5.44 | 5.41984290293071 | 0.020157097069287 |
| 30 | 5.47 | 5.41727111515925 | 0.0527288848407528 |
| 31 | 5.47 | 5.37064050679708 | 0.0993594932029165 |
| 32 | 5.48 | 5.44505074623232 | 0.0349492537676799 |
| 33 | 5.48 | 5.50679309935898 | -0.0267930993589767 |
| 34 | 5.48 | 5.50814811385239 | -0.0281481138523931 |
| 35 | 5.48 | 5.48918940837672 | -0.00918940837671833 |
| 36 | 5.48 | 5.47924424835552 | 0.000755751644483382 |
| 37 | 5.48 | 5.52944631019971 | -0.0494463101997056 |
| 38 | 5.48 | 5.47627262684713 | 0.00372737315287175 |
| 39 | 5.5 | 5.65926704466508 | -0.159267044665078 |
| 40 | 5.55 | 5.69672689380676 | -0.146726893806756 |
| 41 | 5.55 | 5.67629735917928 | -0.126297359179278 |
| 42 | 5.57 | 5.58272158789137 | -0.0127215878913667 |
| 43 | 5.58 | 5.49765103297038 | 0.0823489670296222 |
| 44 | 5.58 | 5.51971652327271 | 0.0602834767272897 |
| 45 | 5.58 | 5.55709903820063 | 0.0229009617993725 |
| 46 | 5.59 | 5.574322652936 | 0.0156773470640017 |
| 47 | 5.59 | 5.57719629367601 | 0.012803706323993 |
| 48 | 5.59 | 5.57306509455181 | 0.0169349054481929 |
| 49 | 5.61 | 5.60288230575063 | 0.00711769424937447 |
| 50 | 5.61 | 5.59627329263507 | 0.0137267073649268 |
| 51 | 5.61 | 5.71405908235917 | -0.104059082359168 |
| 52 | 5.63 | 5.78407411734959 | -0.154074117349587 |
| 53 | 5.69 | 5.76060458699758 | -0.0706045869975815 |
| 54 | 5.7 | 5.74084072026975 | -0.0408407202697507 |
| 55 | 5.7 | 5.66993450299269 | 0.030065497007314 |
| 56 | 5.7 | 5.64400619674921 | 0.0559938032507876 |
| 57 | 5.7 | 5.65673491149641 | 0.0432650885035892 |
| 58 | 5.7 | 5.67688035105166 | 0.0231196489483363 |
| 59 | 5.7 | 5.67672390348733 | 0.0232760965126744 |
| 60 | 5.7 | 5.67453762986493 | 0.0254623701350676 |
| 61 | 5.7 | 5.70004413583662 | -4.41358366209954e-05 |
| 62 | 5.7 | 5.68557774799719 | 0.0144222520028077 |
| 63 | 5.7 | 5.75223920031602 | -0.0522392003160235 |
| 64 | 5.71 | 5.8307095203466 | -0.120709520346599 |
| 65 | 5.74 | 5.85730464397456 | -0.117304643974563 |
| 66 | 5.77 | 5.81591804256363 | -0.0459180425636347 |
| 67 | 5.79 | 5.76462840797481 | 0.0253715920251931 |
| 68 | 5.79 | 5.74097292531937 | 0.0490270746806294 |
| 69 | 5.8 | 5.73935810222712 | 0.0606418977728804 |
| 70 | 5.8 | 5.75789590457466 | 0.0421040954253415 |
| 71 | 5.8 | 5.76570877314952 | 0.0342912268504749 |
| 72 | 5.8 | 5.76781861367654 | 0.0321813863234555 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 5.78453746576198 | 5.62027475012351 | 5.94880018140044 |
| 74 | 5.77265230385632 | 5.57654576279254 | 5.9687588449201 |
| 75 | 5.80108448681143 | 5.57449243632148 | 6.02767653730139 |
| 76 | 5.8835378440047 | 5.62717377400203 | 6.13990191400738 |
| 77 | 5.9886014611352 | 5.70281261683759 | 6.27439030543281 |
| 78 | 6.05445450174077 | 5.73936103988728 | 6.36954796359426 |
| 79 | 6.06837793688601 | 5.7239506356023 | 6.41280523816972 |
| 80 | 6.04680765548835 | 5.67291483264611 | 6.42070047833059 |
| 81 | 6.02620661698859 | 5.62264414108111 | 6.42976909289607 |
| 82 | 6.00461319313398 | 5.57112454993766 | 6.43810183633029 |
| 83 | 5.98617207558403 | 5.52246226397828 | 6.44988188718978 |
| 84 | 5.96769009710892 | 5.47343552737178 | 6.46194466684605 |
