| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.317087774037496 |
| beta | 1 |
| gamma | 0.738379041593874 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 17.5 | 16.413176736086 | 1.08682326391400 |
| 14 | 14.5 | 14.1771676505587 | 0.322832349441292 |
| 15 | 14.4 | 14.5732869780867 | -0.173286978086702 |
| 16 | 16.6 | 17.1319032562038 | -0.531903256203826 |
| 17 | 16.7 | 17.3034566455206 | -0.603456645520573 |
| 18 | 16.6 | 17.0118877403367 | -0.411887740336734 |
| 19 | 16.9 | 16.8921326725477 | 0.00786732745228846 |
| 20 | 15.7 | 15.9393910683414 | -0.239391068341405 |
| 21 | 16.4 | 16.1077395575255 | 0.292260442474461 |
| 22 | 18.4 | 18.9064054728083 | -0.506405472808321 |
| 23 | 16.9 | 16.5501983596690 | 0.349801640331023 |
| 24 | 16.5 | 15.3381030069777 | 1.16189699302232 |
| 25 | 18.3 | 20.0935234065092 | -1.79352340650924 |
| 26 | 15.1 | 15.6275565387011 | -0.527556538701084 |
| 27 | 15.7 | 14.7292652713238 | 0.970734728676204 |
| 28 | 18.1 | 17.1184215169862 | 0.981578483013802 |
| 29 | 16.8 | 17.7762601846023 | -0.976260184602303 |
| 30 | 18.9 | 17.3821207869692 | 1.51787921303081 |
| 31 | 19 | 18.6431069553436 | 0.356893044656434 |
| 32 | 18.1 | 18.1646179990937 | -0.0646179990937306 |
| 33 | 17.8 | 19.4299709565994 | -1.62997095659941 |
| 34 | 21.5 | 21.6566019190386 | -0.1566019190386 |
| 35 | 17.1 | 19.7409316726321 | -2.64093167263206 |
| 36 | 18.7 | 17.1347700592616 | 1.56522994073841 |
| 37 | 19 | 19.997718610579 | -0.997718610578982 |
| 38 | 16.4 | 15.8433752534974 | 0.5566247465026 |
| 39 | 16.9 | 15.9937643896181 | 0.906235610381929 |
| 40 | 18.6 | 18.3600792603501 | 0.239920739649932 |
| 41 | 19.3 | 17.4372456978755 | 1.86275430212455 |
| 42 | 19.4 | 19.8534457152028 | -0.4534457152028 |
| 43 | 17.6 | 19.8426632968719 | -2.24266329687188 |
| 44 | 18.6 | 17.5152844587379 | 1.08471554126212 |
| 45 | 18.1 | 17.9060016341834 | 0.193998365816643 |
| 46 | 20.4 | 21.5809089377904 | -1.18090893779042 |
| 47 | 18.1 | 17.9289191276284 | 0.171080872371633 |
| 48 | 19.6 | 19.0639956822859 | 0.536004317714077 |
| 49 | 19.9 | 20.7616097208104 | -0.861609720810378 |
| 50 | 19.2 | 17.6342614314299 | 1.56573856857007 |
| 51 | 17.8 | 19.0380416453745 | -1.23804164537448 |
| 52 | 19.2 | 20.6175198079932 | -1.41751980799319 |
| 53 | 22 | 19.4441285258105 | 2.55587147418955 |
| 54 | 21.1 | 20.6096315175494 | 0.490368482450613 |
| 55 | 19.5 | 19.8658549968483 | -0.36585499684827 |
| 56 | 22.2 | 20.3800344005380 | 1.81996559946203 |
| 57 | 20.9 | 21.2286391355478 | -0.328639135547832 |
| 58 | 22.2 | 25.1539248642576 | -2.95392486425764 |
| 59 | 23.5 | 21.2692412952022 | 2.23075870479783 |
| 60 | 21.5 | 24.3108188211452 | -2.81081882114518 |
| 61 | 24.3 | 24.0910107714239 | 0.208989228576133 |
| 62 | 22.8 | 22.2395505681161 | 0.56044943188391 |
| 63 | 20.3 | 21.4533952185358 | -1.15339521853578 |
| 64 | 23.7 | 22.9797368967395 | 0.720263103260521 |
| 65 | 23.3 | 25.1663445591757 | -1.86634455917566 |
| 66 | 19.6 | 22.7398461236589 | -3.13984612365891 |
| 67 | 18 | 18.3892614822285 | -0.389261482228502 |
| 68 | 17.3 | 17.7901178246006 | -0.490117824600606 |
| 69 | 16.8 | 14.5347867187220 | 2.26521328127796 |
| 70 | 18.2 | 15.4712205220359 | 2.72877947796406 |
| 71 | 16.5 | 15.8703521824509 | 0.629647817549079 |
| 72 | 16 | 15.3928287204286 | 0.607171279571432 |
| 73 | 18.4 | 17.4502533991752 | 0.949746600824781 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 74 | 17.0026542751035 | 14.8473261992480 | 19.1579823509590 |
| 75 | 15.9841952727693 | 13.3466291585509 | 18.6217613869878 |
| 76 | 18.9199727429859 | 15.0203913639017 | 22.8195541220702 |
| 77 | 19.9893956231536 | 14.5802897396054 | 25.3985015067018 |
| 78 | 18.7904260799382 | 12.2738716218386 | 25.3069805380379 |
| 79 | 18.7711089803540 | 10.7737927304279 | 26.7684252302802 |
| 80 | 20.4492140930143 | 10.0718314714030 | 30.8265967146256 |
| 81 | 21.0169478089856 | 8.54907926298566 | 33.4848163549855 |
| 82 | 23.5189046868944 | 7.52903592983942 | 39.5087734439493 |
| 83 | 22.2496725746468 | 5.12573473685641 | 39.3736104124371 |
| 84 | 21.7781244322791 | 3.05341302363635 | 40.5028358409219 |
| 85 | 24.7810518400923 | 0.906736925614762 | 48.6553667545698 |
