| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.899913987353234 |
| gamma | 0 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 7.6 | 7.48025965567942 | 0.119740344320576 |
| 14 | 7.7 | 7.78467255465862 | -0.0846725546586216 |
| 15 | 7.7 | 7.70842463477782 | -0.0084246347778194 |
| 16 | 7.9 | 7.92194022754802 | -0.0219402275480167 |
| 17 | 8.1 | 8.14557182661695 | -0.0455718266169516 |
| 18 | 8.2 | 8.25328008681465 | -0.053280086814647 |
| 19 | 8.2 | 7.87789875075827 | 0.322101249241725 |
| 20 | 8.2 | 8.12887706082737 | 0.0711229391726338 |
| 21 | 7.9 | 8.47725542963737 | -0.577255429637374 |
| 22 | 7.3 | 7.23800628747794 | 0.0619937125220567 |
| 23 | 6.9 | 7.51292475603305 | -0.61292475603305 |
| 24 | 6.6 | 6.15182789529414 | 0.448172104705860 |
| 25 | 6.7 | 6.33759038458112 | 0.362409615418879 |
| 26 | 6.9 | 6.752693353889 | 0.147306646110998 |
| 27 | 7 | 6.99586839052863 | 0.00413160947137303 |
| 28 | 7.1 | 7.30222370767404 | -0.202223707674045 |
| 29 | 7.2 | 7.25567270945402 | -0.0556727094540204 |
| 30 | 7.1 | 7.25623961196135 | -0.156239611961346 |
| 31 | 6.9 | 6.64746693363021 | 0.252533066369794 |
| 32 | 7 | 6.65528848226268 | 0.34471151773732 |
| 33 | 6.8 | 7.30460093243933 | -0.504600932439332 |
| 34 | 6.4 | 6.2858232815591 | 0.114176718440899 |
| 35 | 6.7 | 6.70563966404874 | -0.00563966404873995 |
| 36 | 6.6 | 6.63678201396038 | -0.0367820139603783 |
| 37 | 6.4 | 6.58758138338824 | -0.18758138338824 |
| 38 | 6.3 | 6.20383984264064 | 0.0961601573593631 |
| 39 | 6.2 | 6.10839136401051 | 0.0916086359894877 |
| 40 | 6.5 | 6.26696731931987 | 0.233032680680133 |
| 41 | 6.8 | 6.81855803213871 | -0.0185580321387135 |
| 42 | 6.8 | 7.06518701134419 | -0.265187011344190 |
| 43 | 6.4 | 6.47238707388988 | -0.0723870738898826 |
| 44 | 6.1 | 6.00243536171957 | 0.0975646382804323 |
| 45 | 5.8 | 6.01284942528561 | -0.212849425285614 |
| 46 | 6.1 | 5.21884205296817 | 0.881157947031832 |
| 47 | 7.2 | 6.98708299739394 | 0.212917002606056 |
| 48 | 7.3 | 7.9258423645877 | -0.625842364587703 |
| 49 | 6.9 | 7.55703420929963 | -0.657034209299631 |
| 50 | 6.1 | 6.54700458599799 | -0.447004585997989 |
| 51 | 5.8 | 5.26417707774255 | 0.535822922257449 |
| 52 | 6.2 | 5.6066809847681 | 0.593319015231902 |
| 53 | 7.1 | 6.58532982399115 | 0.514670176008847 |
| 54 | 7.7 | 7.93762349963424 | -0.237623499634238 |
| 55 | 7.9 | 7.91563004175484 | -0.0156300417548421 |
| 56 | 7.7 | 8.0495831772975 | -0.349583177297499 |
| 57 | 7.4 | 7.80935188173757 | -0.409351881737571 |
| 58 | 7.5 | 6.74958608058079 | 0.750413919419208 |
| 59 | 8 | 8.35852704878512 | -0.358527048785119 |
| 60 | 8.1 | 8.10831121120325 | -0.00831121120325129 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 8.30490283499975 | 7.61950937424279 | 8.9902962957567 |
| 62 | 8.49775805306428 | 7.01795520568898 | 9.97756090043958 |
| 63 | 8.58035388480222 | 6.16434922001359 | 10.9963585495909 |
| 64 | 8.9106804482209 | 5.33418431463342 | 12.4871765818084 |
| 65 | 9.29518723987377 | 4.36113087220876 | 14.2292436075388 |
| 66 | 9.62827260347205 | 3.19743986858971 | 16.0591053383544 |
| 67 | 9.45704141410634 | 1.78298227721081 | 17.1311005510019 |
| 68 | 9.2510623302481 | 0.36225198917524 | 18.1398726713210 |
| 69 | 9.37349463238458 | -1.08251807225750 | 19.8295073370266 |
| 70 | 8.97444624167821 | -2.4686557961377 | 20.4175482794941 |
| 71 | 9.58078539597907 | -4.20706164343723 | 23.3686324353954 |
| 72 | 9.6755968305694 | -6.64847059456097 | 25.9996642556998 |
