| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0244318563534208 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 7.09 | 7.08 | 0.00999999999999979 |
| 4 | 7.07 | 7.09024431856353 | -0.0202443185635337 |
| 5 | 7.06 | 7.06974971228042 | -0.00974971228041799 |
| 6 | 6.99 | 7.05951150871049 | -0.0695115087104945 |
| 7 | 6.99 | 6.98781321351477 | 0.00218678648522985 |
| 8 | 6.99 | 6.98786664076805 | 0.00213335923194702 |
| 9 | 6.98 | 6.98791876269436 | -0.00791876269435843 |
| 10 | 6.96 | 6.97772529262171 | -0.0177252926217131 |
| 11 | 6.95 | 6.95729223081856 | -0.00729223081855679 |
| 12 | 6.91 | 6.9471140680827 | -0.037114068082702 |
| 13 | 6.91 | 6.90620730250261 | 0.00379269749738587 |
| 14 | 6.87 | 6.90629996514306 | -0.036299965143062 |
| 15 | 6.91 | 6.86541308960905 | 0.0445869103909473 |
| 16 | 6.89 | 6.90650243059897 | -0.0165024305989681 |
| 17 | 6.88 | 6.88609924558509 | -0.00609924558509078 |
| 18 | 6.9 | 6.87595022969309 | 0.0240497703069087 |
| 19 | 6.91 | 6.89653781022656 | 0.0134621897734366 |
| 20 | 6.85 | 6.90686671651331 | -0.0568667165133103 |
| 21 | 6.86 | 6.84547735706417 | 0.0145226429358347 |
| 22 | 6.82 | 6.85583217219025 | -0.0358321721902461 |
| 23 | 6.8 | 6.81495672570646 | -0.0149567257064636 |
| 24 | 6.83 | 6.79459130513249 | 0.035408694867515 |
| 25 | 6.84 | 6.82545640527915 | 0.0145435947208492 |
| 26 | 6.89 | 6.83581173229623 | 0.0541882677037666 |
| 27 | 7.14 | 6.88713565226881 | 0.252864347731188 |
| 28 | 7.21 | 7.14331359768948 | 0.066686402310518 |
| 29 | 7.25 | 7.21494287029146 | 0.0350571297085409 |
| 30 | 7.31 | 7.25579938104866 | 0.054200618951338 |
| 31 | 7.3 | 7.31712360278515 | -0.0171236027851469 |
| 32 | 7.48 | 7.30670524138165 | 0.173294758618353 |
| 33 | 7.49 | 7.49093915403101 | -0.000939154031011746 |
| 34 | 7.4 | 7.50091620875463 | -0.100916208754632 |
| 35 | 7.44 | 7.40845063843861 | 0.0315493615613933 |
| 36 | 7.42 | 7.44922144790832 | -0.0292214479083173 |
| 37 | 7.14 | 7.42850751369058 | -0.288507513690583 |
| 38 | 7.24 | 7.14145873955921 | 0.0985412604407889 |
| 39 | 7.33 | 7.24386628547919 | 0.0861337145208143 |
| 40 | 7.61 | 7.33597069201954 | 0.274029307980456 |
| 41 | 7.66 | 7.62266573670875 | 0.0373342632912497 |
| 42 | 7.69 | 7.67357788206654 | 0.0164221179334572 |
| 43 | 7.7 | 7.70397910489291 | -0.00397910489291231 |
| 44 | 7.68 | 7.71388188797375 | -0.0338818879737541 |
| 45 | 7.71 | 7.6930540905538 | 0.0169459094462043 |
| 46 | 7.71 | 7.72346811057916 | -0.0134681105791641 |
| 47 | 7.72 | 7.72313905963614 | -0.00313905963614225 |
| 48 | 7.68 | 7.73306236658203 | -0.0530623665820267 |
| 49 | 7.72 | 7.69176595446392 | 0.0282340455360783 |
| 50 | 7.74 | 7.73245576460874 | 0.00754423539126492 |
| 51 | 7.76 | 7.75264008428411 | 0.00735991571588812 |
| 52 | 7.9 | 7.77281990068765 | 0.127180099312346 |
| 53 | 7.97 | 7.91592714660507 | 0.0540728533949313 |
| 54 | 7.96 | 7.98724824679183 | -0.0272482467918325 |
| 55 | 7.95 | 7.97658252154033 | -0.0265825215403321 |
| 56 | 7.97 | 7.96593306119255 | 0.00406693880745301 |
| 57 | 7.93 | 7.98603242405729 | -0.0560324240572889 |
| 58 | 7.99 | 7.94466344792159 | 0.045336552078413 |
| 59 | 7.96 | 8.00577110404953 | -0.0457711040495257 |
| 60 | 7.92 | 7.97465283101025 | -0.0546528310102508 |
| 61 | 7.97 | 7.9333175608937 | 0.0366824391062996 |
| 62 | 7.98 | 7.98421378097664 | -0.00421378097663805 |
| 63 | 8 | 7.99411083048511 | 0.00588916951488727 |
| 64 | 8.04 | 8.01425471382874 | 0.0257452861712579 |
| 65 | 8.17 | 8.05488371896225 | 0.115116281037746 |
| 66 | 8.29 | 8.18769622340451 | 0.102303776595489 |
| 67 | 8.26 | 8.3101956945787 | -0.0501956945787025 |
| 68 | 8.3 | 8.2789693205792 | 0.0210306794208055 |
| 69 | 8.32 | 8.31948313911782 | 0.00051686088217906 |
| 70 | 8.28 | 8.33949576698865 | -0.0594957669886487 |
| 71 | 8.27 | 8.29804217495594 | -0.0280421749559441 |
| 72 | 8.32 | 8.28735705256558 | 0.0326429474344163 |
| 73 | 8.31 | 8.33815458036825 | -0.0281545803682537 |
| 74 | 8.34 | 8.32746671170501 | 0.0125332882949944 |
| 75 | 8.32 | 8.35777292320426 | -0.0377729232042636 |
| 76 | 8.36 | 8.33685006057049 | 0.0231499394295103 |
| 77 | 8.33 | 8.37741565656522 | -0.0474156565652208 |
| 78 | 8.35 | 8.34625720405512 | 0.00374279594488236 |
| 79 | 8.34 | 8.366348647508 | -0.0263486475080015 |
| 80 | 8.37 | 8.35570490113698 | 0.0142950988630197 |
| 81 | 8.31 | 8.38605415693896 | -0.0760541569389588 |
| 82 | 8.33 | 8.32419601270155 | 0.00580398729845299 |
| 83 | 8.34 | 8.3443378148855 | -0.00433781488549911 |
| 84 | 8.25 | 8.35423183401533 | -0.104231834015328 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 8.26168525681921 | 8.12337650814129 | 8.39999400549714 |
| 86 | 8.27337051363843 | 8.07536857523493 | 8.47137245204192 |
| 87 | 8.28505577045764 | 8.03959862527886 | 8.53051291563641 |
| 88 | 8.29674102727685 | 8.00988657872946 | 8.58359547582424 |
| 89 | 8.30842628409606 | 7.98387059030049 | 8.63298197789164 |
| 90 | 8.32011154091528 | 7.9603549308889 | 8.67986815094165 |
| 91 | 8.33179679773449 | 7.93863834104519 | 8.72495525442378 |
| 92 | 8.3434820545537 | 7.91826975890799 | 8.76869435019941 |
| 93 | 8.35516731137291 | 7.89893992450221 | 8.81139469824362 |
| 94 | 8.36685256819213 | 7.88042661727944 | 8.85327851910481 |
| 95 | 8.37853782501134 | 7.86256431299076 | 8.89451133703191 |
| 96 | 8.39022308183055 | 7.8452261608716 | 8.93522000278951 |
