| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.496972732866031 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 6.8 | 6.79 | 0.00999999999999979 |
| 4 | 6.85 | 6.79496972732866 | 0.0550302726713392 |
| 5 | 6.85 | 6.8723182723285 | -0.0223182723284987 |
| 6 | 6.85 | 6.86122669953656 | -0.0112266995365564 |
| 7 | 6.85 | 6.85564733598681 | -0.00564733598680789 |
| 8 | 6.85 | 6.85284076398803 | -0.00284076398803101 |
| 9 | 6.85 | 6.85142898174547 | -0.00142898174547224 |
| 10 | 6.86 | 6.85071881678221 | 0.0092811832177917 |
| 11 | 6.86 | 6.86533131177019 | -0.00533131177018564 |
| 12 | 6.88 | 6.86268179519 | 0.017318204810004 |
| 13 | 6.88 | 6.89128847076276 | -0.0112884707627572 |
| 14 | 6.88 | 6.88567840859791 | -0.00567840859791158 |
| 15 | 6.91 | 6.88285639435868 | 0.0271436056413226 |
| 16 | 6.91 | 6.92634602623408 | -0.0163460262340838 |
| 17 | 6.91 | 6.91822249690503 | -0.00822249690503085 |
| 18 | 6.91 | 6.91413614014716 | -0.00413614014715513 |
| 19 | 6.99 | 6.91208059127471 | 0.0779194087252932 |
| 20 | 6.99 | 7.03080441277222 | -0.0408044127722214 |
| 21 | 6.99 | 7.01052573224382 | -0.0205257322438168 |
| 22 | 7.02 | 7.00032500299653 | 0.0196749970034684 |
| 23 | 7.02 | 7.04010294002648 | -0.0201029400264758 |
| 24 | 7.05 | 7.03011232698288 | 0.0198876730171245 |
| 25 | 7.05 | 7.06999595819254 | -0.019995958192542 |
| 26 | 7.05 | 7.06005851220332 | -0.0100585122033197 |
| 27 | 7.05 | 7.05505970590507 | -0.00505970590506966 |
| 28 | 7.1 | 7.05254517003393 | 0.0474548299660711 |
| 29 | 7.1 | 7.12612892656986 | -0.0261289265698599 |
| 30 | 7.1 | 7.11314356252558 | -0.0131435625255811 |
| 31 | 7.1 | 7.10661157033765 | -0.0066115703376477 |
| 32 | 7.12 | 7.10332580015841 | 0.0166741998415896 |
| 33 | 7.13 | 7.13161242282204 | -0.00161242282204022 |
| 34 | 7.18 | 7.14081109264564 | 0.0391889073543643 |
| 35 | 7.24 | 7.21028691103157 | 0.0297130889684327 |
| 36 | 7.24 | 7.2850535060581 | -0.0450535060581014 |
| 37 | 7.24 | 7.26266314202721 | -0.0226631420272101 |
| 38 | 7.27 | 7.25140017839862 | 0.0185998216013825 |
| 39 | 7.27 | 7.29064378257068 | -0.0206437825706764 |
| 40 | 7.27 | 7.28038438552983 | -0.0103843855298349 |
| 41 | 7.27 | 7.27522362907394 | -0.0052236290739387 |
| 42 | 7.3 | 7.27262762785758 | 0.0273723721424153 |
| 43 | 7.3 | 7.31623095044623 | -0.0162309504462268 |
| 44 | 7.57 | 7.30816461064595 | 0.261835389354048 |
| 45 | 7.76 | 7.70828965965427 | 0.0517103403457249 |
| 46 | 7.94 | 7.92398828881332 | 0.0160117111866782 |
| 47 | 7.94 | 8.11194567267963 | -0.171945672679628 |
| 48 | 7.96 | 8.02649336182355 | -0.0664933618235457 |
| 49 | 7.96 | 8.01344797408065 | -0.0534479740806484 |
| 50 | 7.98 | 7.98688578833564 | -0.00688578833563458 |
| 51 | 7.99 | 8.00346373928854 | -0.0134637392885377 |
| 52 | 8 | 8.00677262797972 | -0.00677262797971778 |
| 53 | 8 | 8.01340681654395 | -0.0134068165439523 |
| 54 | 8.04 | 8.00674399428707 | 0.0332560057129285 |
| 55 | 8.04 | 8.06327132233043 | -0.0232713223304337 |
| 56 | 8.04 | 8.05170610967447 | -0.0117061096744706 |
| 57 | 8.04 | 8.04588849235832 | -0.00588849235832001 |
| 58 | 8.04 | 8.04296207221854 | -0.00296207221854417 |
| 59 | 8.07 | 8.04149000309315 | 0.0285099969068536 |
| 60 | 8.07 | 8.08565869416995 | -0.0156586941699484 |
| 61 | 8.07 | 8.0778767501352 | -0.00787675013519618 |
| 62 | 8.07 | 8.0739622200944 | -0.0039622200944045 |
| 63 | 8.11 | 8.07199310474587 | 0.0380068952541279 |
| 64 | 8.11 | 8.13088149534807 | -0.0208814953480676 |
| 65 | 8.12 | 8.12050396153861 | -0.000503961538608877 |
| 66 | 8.11 | 8.13025350639551 | -0.0202535063955072 |
| 67 | 8.13 | 8.11018806597201 | 0.0198119340279881 |
| 68 | 8.15 | 8.14003405696926 | 0.0099659430307355 |
| 69 | 8.16 | 8.16498685891284 | -0.00498685891283657 |
| 70 | 8.2 | 8.17250852601051 | 0.0274914739894925 |
| 71 | 8.2 | 8.22617103896958 | -0.0261710389695793 |
| 72 | 8.2 | 8.21316474621092 | -0.0131647462109239 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 8.20662222630899 | 8.11777214763793 | 8.29547230498006 |
| 74 | 8.21324445261799 | 8.05329142479466 | 8.37319748044132 |
| 75 | 8.21986667892698 | 7.9811798123171 | 8.45855354553686 |
| 76 | 8.22648890523597 | 7.90098437311931 | 8.55199343735263 |
| 77 | 8.23311113154497 | 7.8130756236159 | 8.65314663947404 |
| 78 | 8.23973335785396 | 7.71790884791567 | 8.76155786779225 |
| 79 | 8.24635558416295 | 7.61590678324106 | 8.87680438508485 |
| 80 | 8.25297781047195 | 7.50744178950594 | 8.99851383143796 |
| 81 | 8.25960003678094 | 7.39283874351945 | 9.12636133004244 |
| 82 | 8.26622226308993 | 7.27238185849702 | 9.26006266768285 |
| 83 | 8.27284448939893 | 7.14632138449823 | 9.39936759429963 |
| 84 | 8.27946671570792 | 7.01487930310273 | 9.54405412831312 |
