| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.928337978024088 |
| beta | 1 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 7.5 | 7.43325688014239 | 0.0667431198576134 |
| 14 | 7.6 | 7.64602125144062 | -0.0460212514406226 |
| 15 | 7.7 | 7.69906398705166 | 0.000936012948344889 |
| 16 | 7.7 | 7.69656461879542 | 0.00343538120457598 |
| 17 | 7.9 | 7.92064255850776 | -0.0206425585077596 |
| 18 | 8.1 | 8.14661417062053 | -0.046614170620531 |
| 19 | 8.2 | 7.94549565282806 | 0.254504347171943 |
| 20 | 8.2 | 8.4488881479485 | -0.248888147948495 |
| 21 | 8.2 | 7.91500604288992 | 0.284993957110078 |
| 22 | 7.9 | 8.42638631490673 | -0.526386314906732 |
| 23 | 7.3 | 7.27394660241382 | 0.0260533975861774 |
| 24 | 6.9 | 7.47803073148591 | -0.578030731485913 |
| 25 | 6.6 | 6.17914539632137 | 0.420854603678625 |
| 26 | 6.7 | 6.26918029161326 | 0.430819708386739 |
| 27 | 6.9 | 6.76782900282106 | 0.132170997178936 |
| 28 | 7 | 7.01981194650812 | -0.0198119465081223 |
| 29 | 7.1 | 7.3134137817753 | -0.213413781775293 |
| 30 | 7.2 | 7.26479021842537 | -0.0647902184253724 |
| 31 | 7.1 | 6.99337732623124 | 0.106622673768758 |
| 32 | 6.9 | 7.0957641453048 | -0.195764145304794 |
| 33 | 7 | 6.5174601913346 | 0.482539808665398 |
| 34 | 6.8 | 7.17307514272357 | -0.373075142723573 |
| 35 | 6.4 | 6.40077979247309 | -0.000779792473089458 |
| 36 | 6.7 | 6.6156503985121 | 0.0843496014879035 |
| 37 | 6.6 | 6.74098316599545 | -0.140983165995448 |
| 38 | 6.4 | 6.5277804195043 | -0.127780419504296 |
| 39 | 6.3 | 6.18269556698019 | 0.117304433019809 |
| 40 | 6.2 | 6.10055251175049 | 0.099447488249515 |
| 41 | 6.5 | 6.26663944286728 | 0.233360557132715 |
| 42 | 6.8 | 6.83850075057714 | -0.0385007505771426 |
| 43 | 6.8 | 6.84306011460125 | -0.0430601146012544 |
| 44 | 6.4 | 6.87990404816121 | -0.479904048161212 |
| 45 | 6.1 | 5.93047515652366 | 0.169524843476341 |
| 46 | 5.8 | 5.79828809105899 | 0.00171190894101247 |
| 47 | 6.1 | 5.34941704155298 | 0.750582958447024 |
| 48 | 7.2 | 6.87829798701684 | 0.321702012983159 |
| 49 | 7.3 | 8.06166693068413 | -0.761666930684131 |
| 50 | 6.9 | 7.55654300690666 | -0.656543006906658 |
| 51 | 6.1 | 6.52680899013502 | -0.426808990135024 |
| 52 | 5.8 | 5.22457717449504 | 0.575422825504956 |
| 53 | 6.2 | 5.55278970809034 | 0.647210291909664 |
| 54 | 7.1 | 6.58764776321892 | 0.512352236781081 |
| 55 | 7.7 | 7.71005243133236 | -0.0100524313323644 |
| 56 | 7.9 | 8.3741390179299 | -0.474139017929902 |
| 57 | 7.7 | 8.07813183944 | -0.378131839440006 |
| 58 | 7.4 | 7.51196918249704 | -0.111969182497037 |
| 59 | 7.5 | 6.95373052001372 | 0.546269479986283 |
| 60 | 8 | 8.12546755984644 | -0.125467559846438 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 8.20151286668224 | 7.52306513965207 | 8.87996059371241 |
| 62 | 8.51264718611941 | 7.0722899912208 | 9.95300438101802 |
| 63 | 8.83089587875789 | 6.4282129691002 | 11.2335787884156 |
| 64 | 9.11400177850221 | 5.59820715857465 | 12.6297963984298 |
| 65 | 9.56613371179337 | 4.71560112149303 | 14.4166663020937 |
| 66 | 10.0444149510147 | 3.6786053407488 | 16.4102245612807 |
| 67 | 10.1079857462893 | 2.38053297835026 | 17.8354385142284 |
| 68 | 10.2431052859799 | 1.04192280396469 | 19.4442877679952 |
| 69 | 10.3165490133721 | -0.356197216814968 | 20.9892952435592 |
| 70 | 10.3838903553653 | -1.79408248812996 | 22.5618631988605 |
| 71 | 10.2732534107119 | -3.21287793298523 | 23.7593847544091 |
| 72 | 10.8697099394555 | -5.15857384168304 | 26.8979937205941 |
