| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.00352340646797870 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 8.9 | 8.9503140766282 | -0.0503140766281973 |
| 14 | 8.8 | 8.75795932726792 | 0.0420406727320852 |
| 15 | 8.3 | 8.24431609483113 | 0.0556839051688698 |
| 16 | 7.5 | 7.47242442055062 | 0.0275755794493833 |
| 17 | 7.2 | 7.21280290290433 | -0.0128029029043333 |
| 18 | 7.4 | 7.43515757080091 | -0.0351575708009104 |
| 19 | 8.8 | 8.52584202748093 | 0.274157972519067 |
| 20 | 9.3 | 8.87231887352567 | 0.427681126474331 |
| 21 | 9.3 | 9.27959758617377 | 0.0204024138262309 |
| 22 | 8.7 | 9.32643992965158 | -0.626439929651577 |
| 23 | 8.2 | 8.75478518261489 | -0.554785182614888 |
| 24 | 8.3 | 8.43891041178834 | -0.138910411788343 |
| 25 | 8.5 | 8.59475462049406 | -0.094754620494058 |
| 26 | 8.6 | 8.36299111548783 | 0.237008884512170 |
| 27 | 8.5 | 8.05591476094622 | 0.444085239053775 |
| 28 | 8.2 | 7.65199645704296 | 0.548003542957042 |
| 29 | 8.1 | 7.88615538355202 | 0.213844616447984 |
| 30 | 7.9 | 8.36500928681314 | -0.465009286813141 |
| 31 | 8.6 | 9.1018164327324 | -0.501816432732401 |
| 32 | 8.7 | 8.66959313245035 | 0.0304068675496527 |
| 33 | 8.7 | 8.67938324687388 | 0.0206167531261219 |
| 34 | 8.5 | 8.72320812946758 | -0.223208129467581 |
| 35 | 8.4 | 8.55246176408234 | -0.152461764082336 |
| 36 | 8.5 | 8.64419427175929 | -0.144194271759291 |
| 37 | 8.7 | 8.80129428351827 | -0.101294283518273 |
| 38 | 8.7 | 8.55921000776276 | 0.140789992237234 |
| 39 | 8.6 | 8.14893696013846 | 0.451063039861536 |
| 40 | 8.5 | 7.74143841171686 | 0.758561588283137 |
| 41 | 8.3 | 8.17435734841297 | 0.125642651587032 |
| 42 | 8 | 8.57110904648884 | -0.571109046488839 |
| 43 | 8.2 | 9.21638133958279 | -1.01638133958279 |
| 44 | 8.1 | 8.26501134402285 | -0.165011344022849 |
| 45 | 8.1 | 8.07920682225726 | 0.0207931777427444 |
| 46 | 8 | 8.12001412938259 | -0.120014129382588 |
| 47 | 7.9 | 8.047902750705 | -0.147902750704992 |
| 48 | 7.9 | 8.12814290430106 | -0.228142904301055 |
| 49 | 8 | 8.17832367553149 | -0.178323675531486 |
| 50 | 8 | 7.8687471945272 | 0.131252805472799 |
| 51 | 7.9 | 7.49160739937399 | 0.40839260062601 |
| 52 | 8 | 7.10981833012476 | 0.890181669875243 |
| 53 | 7.7 | 7.69230919079451 | 0.00769080920548859 |
| 54 | 7.2 | 7.95013065469094 | -0.750130654690939 |
| 55 | 7.5 | 8.29281845025857 | -0.792818450258565 |
| 56 | 7.3 | 7.55771594955604 | -0.257715949556043 |
| 57 | 7 | 7.27936065334012 | -0.279360653340116 |
| 58 | 7 | 7.01493489161981 | -0.0149348916198146 |
| 59 | 7 | 7.0396898750571 | -0.0396898750571033 |
| 60 | 7.2 | 7.20002038019794 | -2.03801979425933e-05 |
| 61 | 7.3 | 7.45181192963172 | -0.151811929631722 |
| 62 | 7.1 | 7.17843657501434 | -0.0784365750143401 |
| 63 | 6.8 | 6.64681466808213 | 0.153185331917874 |
| 64 | 6.4 | 6.11776161784542 | 0.282238382154585 |
| 65 | 6.1 | 6.15119200601735 | -0.0511920060173523 |
| 66 | 6.5 | 6.29534094252554 | 0.204659057474462 |
| 67 | 7.7 | 7.48479564088605 | 0.215204359113954 |
| 68 | 7.9 | 7.75911270846598 | 0.140887291534019 |
| 69 | 7.5 | 7.87825668532496 | -0.378256685324959 |
| 70 | 6.9 | 7.51644954893393 | -0.616449548933926 |
| 71 | 6.6 | 6.93842614275394 | -0.338426142753939 |
| 72 | 6.9 | 6.78728807549504 | 0.112711924504959 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 7.14019920194742 | 6.4386641445697 | 7.84173425932513 |
| 74 | 7.02047820979466 | 6.03563731703855 | 8.00531910255077 |
| 75 | 6.57174683025305 | 5.41176544746876 | 7.73172821303735 |
| 76 | 5.91158718057025 | 4.65243889532976 | 7.17073546581075 |
| 77 | 5.68049355811327 | 4.27973758039145 | 7.08124953583509 |
| 78 | 5.86118225218876 | 4.2519304014519 | 7.47043410292563 |
| 79 | 6.74739575051795 | 4.76288125687701 | 8.73191024415889 |
| 80 | 6.79704533811296 | 4.67454019895298 | 8.91955047727293 |
| 81 | 6.77598705786248 | 4.54268364007111 | 9.00929047565385 |
| 82 | 6.78909796112338 | 4.43972061737682 | 9.13847530486994 |
| 83 | 6.82627032087783 | 4.3574481894979 | 9.29509245225776 |
| 84 | 7.02004704166552 | -71.2401196924339 | 85.2802137757649 |
