| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.683290518387697 |
| beta | 0 |
| gamma | 0.816581662774365 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 8 | 7.91114478975488 | 0.0888552102451232 |
| 14 | 7.9 | 7.87834071573207 | 0.0216592842679342 |
| 15 | 7.99 | 7.98841975000516 | 0.00158024999483874 |
| 16 | 8.02 | 8.02569954542497 | -0.00569954542496909 |
| 17 | 8.08 | 8.08638748755711 | -0.00638748755711305 |
| 18 | 8.02 | 8.0190717736667 | 0.000928226333297033 |
| 19 | 8.07 | 8.15608727140348 | -0.0860872714034748 |
| 20 | 8.11 | 8.12643868380964 | -0.0164386838096409 |
| 21 | 8.19 | 8.16995894484541 | 0.0200410551545929 |
| 22 | 8.16 | 8.18806120560413 | -0.0280612056041321 |
| 23 | 8.08 | 7.99845965326224 | 0.0815403467377624 |
| 24 | 8.22 | 8.0910938594966 | 0.128906140503402 |
| 25 | 8.15 | 8.19736171008231 | -0.0473617100823063 |
| 26 | 8.19 | 8.05151518221346 | 0.138484817786535 |
| 27 | 8.31 | 8.23872538381568 | 0.0712746161843185 |
| 28 | 8.3 | 8.32263552332991 | -0.022635523329912 |
| 29 | 8.34 | 8.37350295850283 | -0.0335029585028277 |
| 30 | 8.31 | 8.287163840471 | 0.0228361595289961 |
| 31 | 8.38 | 8.42012430004253 | -0.0401243000425247 |
| 32 | 8.34 | 8.44133101423759 | -0.101331014237585 |
| 33 | 8.44 | 8.43799638875139 | 0.00200361124860748 |
| 34 | 8.64 | 8.43074736175558 | 0.209252638244418 |
| 35 | 8.6 | 8.42379472968855 | 0.176205270311451 |
| 36 | 8.61 | 8.59523309211668 | 0.0147669078833239 |
| 37 | 8.54 | 8.57606742548454 | -0.036067425484541 |
| 38 | 8.69 | 8.48186416664141 | 0.208135833358593 |
| 39 | 8.73 | 8.70267483292155 | 0.0273251670784553 |
| 40 | 8.91 | 8.73228505058004 | 0.177714949419958 |
| 41 | 9.01 | 8.92074832576692 | 0.0892516742330773 |
| 42 | 9.08 | 8.92830309799565 | 0.151696902004348 |
| 43 | 8.94 | 9.14088197441495 | -0.200881974414953 |
| 44 | 9.03 | 9.03783635374293 | -0.00783635374292579 |
| 45 | 9.02 | 9.13185960500852 | -0.111859605008522 |
| 46 | 8.96 | 9.10194481460988 | -0.141944814609884 |
| 47 | 9.03 | 8.83842319293241 | 0.191576807067589 |
| 48 | 8.94 | 8.97855924852202 | -0.0385592485220254 |
| 49 | 8.95 | 8.9076794338757 | 0.0423205661242996 |
| 50 | 8.95 | 8.92849215232429 | 0.0215078476757053 |
| 51 | 8.99 | 8.97566153162115 | 0.0143384683788543 |
| 52 | 8.93 | 9.03580404836879 | -0.105804048368785 |
| 53 | 8.98 | 9.00774714244534 | -0.027747142445337 |
| 54 | 8.95 | 8.95114267154456 | -0.00114267154456549 |
| 55 | 9.02 | 8.96722470638593 | 0.0527752936140651 |
| 56 | 8.92 | 9.08784952505071 | -0.167849525050705 |
| 57 | 9.1 | 9.04499935843546 | 0.0550006415645399 |
| 58 | 9.06 | 9.12109506913682 | -0.0610950691368153 |
| 59 | 8.97 | 8.99721606991325 | -0.0272160699132495 |
| 60 | 8.89 | 8.92857706840899 | -0.0385770684089852 |
| 61 | 8.99 | 8.87871896907246 | 0.111281030927543 |
| 62 | 8.79 | 8.94124079436084 | -0.151240794360838 |
| 63 | 8.83 | 8.86826357111959 | -0.0382635711195931 |
| 64 | 8.61 | 8.86102971024246 | -0.251029710242459 |
| 65 | 8.71 | 8.75242354947 | -0.0424235494699943 |
| 66 | 8.91 | 8.6938540597091 | 0.216145940290904 |
| 67 | 8.91 | 8.87205021456683 | 0.0379497854331667 |
| 68 | 8.89 | 8.92471427817202 | -0.0347142781720216 |
| 69 | 8.98 | 9.0300259067296 | -0.0500259067296032 |
| 70 | 9 | 9.00428457172678 | -0.0042845717267781 |
| 71 | 8.99 | 8.92854619938691 | 0.0614538006130871 |
| 72 | 8.88 | 8.91753414463971 | -0.0375341446397126 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 8.90690028297178 | 8.72313456553623 | 9.09066600040733 |
| 74 | 8.82582045990229 | 8.59959384217765 | 9.05204707762693 |
| 75 | 8.88552463642222 | 8.62219131554068 | 9.14885795730376 |
| 76 | 8.84784121086986 | 8.55366215663664 | 9.14202026510308 |
| 77 | 8.96742903034042 | 8.64175400943821 | 9.29310405124262 |
| 78 | 9.00454252014696 | 8.6518783807615 | 9.35720665953241 |
| 79 | 8.9886213706718 | 8.61244287105179 | 9.36479987029181 |
| 80 | 8.99651578253752 | 8.59750297537899 | 9.39552858969605 |
| 81 | 9.1228835831046 | 8.69780282414743 | 9.54796434206177 |
| 82 | 9.14330497702761 | 8.69741126059063 | 9.58919869346458 |
| 83 | 9.08636611749163 | 8.623866120747 | 9.54886611423625 |
| 84 | 9.00674521146605 | -8.61825952232698 | 26.6317499452591 |
