| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.923440651817352 |
| beta | 0 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 6.84 | 6.68760149572649 | 0.152398504273505 |
| 14 | 6.89 | 6.87139482416116 | 0.0186051758388368 |
| 15 | 7.14 | 7.12163795417731 | 0.0183620458226921 |
| 16 | 7.21 | 7.1937399013862 | 0.0162600986137971 |
| 17 | 7.25 | 7.23348415842776 | 0.0165158415722377 |
| 18 | 7.31 | 7.2930479122469 | 0.0169520877531042 |
| 19 | 7.3 | 7.31759784685697 | -0.0175978468569742 |
| 20 | 7.48 | 7.27899296733047 | 0.201007032669526 |
| 21 | 7.49 | 7.49975672024438 | -0.0097567202443809 |
| 22 | 7.4 | 7.463392655788 | -0.0633926557879976 |
| 23 | 7.44 | 7.39166565471905 | 0.0483343452809502 |
| 24 | 7.42 | 7.46936190834281 | -0.0493619083428101 |
| 25 | 7.14 | 7.44767566665799 | -0.307675666657989 |
| 26 | 7.24 | 7.19637467278721 | 0.0436253272127951 |
| 27 | 7.33 | 7.46970381382113 | -0.139703813821127 |
| 28 | 7.61 | 7.39568039686224 | 0.214319603137763 |
| 29 | 7.66 | 7.61834043137423 | 0.0416595686257697 |
| 30 | 7.69 | 7.70115632361605 | -0.0111563236160492 |
| 31 | 7.7 | 7.69710468803635 | 0.00289531196365367 |
| 32 | 7.68 | 7.69416027153506 | -0.0141602715350588 |
| 33 | 7.71 | 7.70009385326088 | 0.00990614673911594 |
| 34 | 7.71 | 7.67778094724395 | 0.0322190527560462 |
| 35 | 7.72 | 7.70289943101053 | 0.0171005689894699 |
| 36 | 7.68 | 7.74427358439965 | -0.0642735843996469 |
| 37 | 7.72 | 7.68904096189399 | 0.0309590381060092 |
| 38 | 7.74 | 7.77734439562511 | -0.0373443956251132 |
| 39 | 7.76 | 7.96186724348368 | -0.201867243483685 |
| 40 | 7.9 | 7.85754339056177 | 0.0424566094382337 |
| 41 | 7.97 | 7.90827941044915 | 0.0617205895508466 |
| 42 | 7.96 | 8.00557691464643 | -0.0455769146464293 |
| 43 | 7.95 | 7.97081569011058 | -0.0208156901105756 |
| 44 | 7.97 | 7.94466980604308 | 0.0253301939569166 |
| 45 | 7.93 | 7.98891299825955 | -0.0589129982595509 |
| 46 | 7.99 | 7.90475795766825 | 0.0852420423317453 |
| 47 | 7.96 | 7.97768256422724 | -0.0176825642272407 |
| 48 | 7.92 | 7.98070660626408 | -0.0607066062640822 |
| 49 | 7.97 | 7.93605882387771 | 0.0339411761222914 |
| 50 | 7.98 | 8.0218868187173 | -0.0418868187173036 |
| 51 | 8 | 8.18961924644159 | -0.189619246441588 |
| 52 | 8.04 | 8.11531096681686 | -0.0753109668168577 |
| 53 | 8.17 | 8.05877045708512 | 0.111229542914883 |
| 54 | 8.29 | 8.19357191446471 | 0.0964280855352939 |
| 55 | 8.26 | 8.29183958306865 | -0.0318395830686544 |
| 56 | 8.3 | 8.25904668690791 | 0.0409533130920927 |
| 57 | 8.32 | 8.31126729855706 | 0.00873270144293592 |
| 58 | 8.28 | 8.30061546293659 | -0.0206154629365862 |
| 59 | 8.27 | 8.26790710504071 | 0.00209289495928644 |
| 60 | 8.32 | 8.28589871738422 | 0.0341012826157758 |
| 61 | 8.31 | 8.33604656622893 | -0.0260465662289295 |
| 62 | 8.34 | 8.36067409931175 | -0.020674099311746 |
| 63 | 8.32 | 8.5366849160987 | -0.216684916098703 |
| 64 | 8.36 | 8.44613446422388 | -0.0861344642238819 |
| 65 | 8.33 | 8.39388051682638 | -0.0638805168263765 |
| 66 | 8.35 | 8.36584503656959 | -0.015845036569587 |
| 67 | 8.34 | 8.35061505101421 | -0.0106150510142093 |
| 68 | 8.37 | 8.34299472725073 | 0.0270052727492676 |
| 69 | 8.31 | 8.37986836240823 | -0.0698683624082292 |
| 70 | 8.33 | 8.29438623281624 | 0.0356137671837597 |
| 71 | 8.34 | 8.3153407689127 | 0.0246592310873037 |
| 72 | 8.25 | 8.35662159469475 | -0.106621594694751 |
| 73 | 8.27 | 8.27221533788807 | -0.00221533788807093 |
| 74 | 8.31 | 8.31926090856889 | -0.00926090856888884 |
| 75 | 8.25 | 8.49080466928479 | -0.240804669284788 |
| 76 | 8.3 | 8.38797591430662 | -0.0879759143066199 |
| 77 | 8.3 | 8.33572524475167 | -0.0357252447516654 |
| 78 | 8.35 | 8.33736705234974 | 0.0126329476502569 |
| 79 | 8.78 | 8.34883519938991 | 0.431164800610093 |
| 80 | 8.9 | 8.7520525372359 | 0.147947462764101 |
| 81 | 8.9 | 8.89319252480917 | 0.00680747519082914 |
| 82 | 8.9 | 8.88659162375478 | 0.0134083762452235 |
| 83 | 9 | 8.8862021270259 | 0.113797872974096 |
| 84 | 9.05 | 8.99974642392326 | 0.0502535760767433 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 9.06819835203507 | 8.86673054397339 | 9.26966616009676 |
| 86 | 9.11675025148035 | 8.8425213591481 | 9.3909791438126 |
| 87 | 9.27911907224536 | 8.94773758046532 | 9.6105005640254 |
| 88 | 9.41035960789689 | 9.03032552942635 | 9.79039368636744 |
| 89 | 9.44334975119671 | 9.02022080098939 | 9.86647870140403 |
| 90 | 9.48168397378418 | 9.01946074177594 | 9.94390720579242 |
| 91 | 9.51352886926809 | 9.01526937471457 | 10.0117883638216 |
| 92 | 9.49690816781849 | 8.96504847615411 | 10.0287678594829 |
| 93 | 9.49062186849104 | 8.92716207460871 | 10.0540816623734 |
| 94 | 9.47824002879134 | 8.88486059956708 | 10.0716194580156 |
| 95 | 9.47315444679671 | 8.85129324465342 | 10.09501564894 |
| 96 | 9.47674825174825 | 8.82765383455173 | 10.1258426689448 |
