| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 8.5 | 8.26101587988918 | 0.238984120110819 |
| 14 | 8.6 | 8.64032888121282 | -0.0403288812128242 |
| 15 | 8.5 | 8.55687786733223 | -0.0568778673322257 |
| 16 | 8.2 | 8.23883422057737 | -0.0388342205773693 |
| 17 | 8.1 | 8.10624963153047 | -0.00624963153047275 |
| 18 | 7.9 | 7.89045517064055 | 0.00954482935944956 |
| 19 | 8.6 | 8.85935406035076 | -0.259354060350759 |
| 20 | 8.7 | 9.1230734808869 | -0.423073480886906 |
| 21 | 8.7 | 8.70722563113187 | -0.00722563113186858 |
| 22 | 8.5 | 8.10905124399243 | 0.390948756007571 |
| 23 | 8.4 | 7.95461083694412 | 0.445389163055882 |
| 24 | 8.5 | 8.45050021454214 | 0.0494997854578578 |
| 25 | 8.7 | 8.69852411649443 | 0.0014758835055666 |
| 26 | 8.7 | 8.84347614207988 | -0.143476142079876 |
| 27 | 8.6 | 8.65630048952282 | -0.0563004895228172 |
| 28 | 8.5 | 8.3356872492021 | 0.164312750797901 |
| 29 | 8.3 | 8.4025910949451 | -0.102591094945106 |
| 30 | 8 | 8.08513102024552 | -0.085131020245516 |
| 31 | 8.2 | 8.97141149469801 | -0.771411494698011 |
| 32 | 8.1 | 8.69908055764248 | -0.599080557642484 |
| 33 | 8.1 | 8.10722563113187 | -0.00722563113186858 |
| 34 | 8 | 7.55027041614762 | 0.449729583852385 |
| 35 | 7.9 | 7.48706269874117 | 0.412937301258835 |
| 36 | 7.9 | 7.94787077194816 | -0.0478707719481557 |
| 37 | 8 | 8.0849672497312 | -0.0849672497311929 |
| 38 | 8 | 8.13246072904518 | -0.132460729045183 |
| 39 | 7.9 | 7.96034213418867 | -0.0603421341886721 |
| 40 | 8 | 7.65771604882899 | 0.342283951171013 |
| 41 | 7.7 | 7.90868865592072 | -0.208688655920716 |
| 42 | 7.2 | 7.50110347143063 | -0.301103471430627 |
| 43 | 7.5 | 8.07495201992 | -0.57495201992 |
| 44 | 7.3 | 7.95709294196475 | -0.657092941964749 |
| 45 | 7 | 7.30722563113187 | -0.307225631131868 |
| 46 | 7 | 6.52583889843212 | 0.474161101567879 |
| 47 | 7 | 6.55196642233526 | 0.448033577664742 |
| 48 | 7.2 | 7.04313777527898 | 0.156862224721019 |
| 49 | 7.3 | 7.36915090517408 | -0.0691509051740775 |
| 50 | 7.1 | 7.42144531601049 | -0.321445316010490 |
| 51 | 6.8 | 7.06553853447334 | -0.265538534473342 |
| 52 | 6.4 | 6.59233273395695 | -0.192332733956952 |
| 53 | 6.1 | 6.32820085104267 | -0.228200851042668 |
| 54 | 6.5 | 5.94369667459092 | 0.556303325409075 |
| 55 | 7.7 | 7.29054997948924 | 0.409450020510757 |
| 56 | 7.9 | 8.16908940358696 | -0.269089403586959 |
| 57 | 7.5 | 7.90722563113187 | -0.407225631131869 |
| 58 | 6.9 | 6.9914895883028 | -0.0914895883027995 |
| 59 | 6.6 | 6.45845679469467 | 0.141543205305332 |
| 60 | 6.9 | 6.6410342212038 | 0.258965778796208 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 7.06237247179246 | 6.4456268817051 | 7.67911806187981 |
| 62 | 7.18007840870063 | 6.30097896270403 | 8.05917785469724 |
| 63 | 7.14515458821201 | 6.07543846346652 | 8.2148707129575 |
| 64 | 6.9266254060775 | 5.72089747984573 | 8.13235333230928 |
| 65 | 6.84840399607044 | 5.50716832778106 | 8.18963966435983 |
| 66 | 6.67217759350474 | 5.22829871123626 | 8.11605647577322 |
| 67 | 7.48348777329149 | 5.75195267631735 | 9.21502287026563 |
| 68 | 7.93959027378621 | 6.00334243656007 | 9.87583811101236 |
| 69 | 7.94681590491808 | 5.91471580648417 | 9.978916003352 |
| 70 | 7.4076098570434 | 5.41715202397996 | 9.39806769010683 |
| 71 | 6.93312088188288 | 4.9723302125452 | 8.89391155122056 |
| 72 | 6.97590694755821 | -83.4121580322259 | 97.3639719273423 |
