| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0264298971176654 |
| gamma | 0.0987822325018638 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 3.35 | 3.28318376068376 | 0.0668162393162395 |
| 14 | 3.35 | 3.35325778782276 | -0.00325778782275865 |
| 15 | 3.4 | 3.40400501815911 | -0.00400501815910559 |
| 16 | 3.42 | 3.42431583260787 | -0.00431583260787294 |
| 17 | 3.42 | 3.42461843226274 | -0.00461843226273695 |
| 18 | 3.42 | 3.42449636757319 | -0.0044963675731875 |
| 19 | 3.42 | 3.42396086237416 | -0.00396086237415849 |
| 20 | 3.42 | 3.44343951052244 | -0.023439510522445 |
| 21 | 3.42 | 3.42073667333752 | -0.00073667333751537 |
| 22 | 3.42 | 3.42780053647033 | -0.00780053647032908 |
| 23 | 3.42 | 3.41676103576062 | 0.00323896423937819 |
| 24 | 3.42 | 3.4172633079189 | 0.00273669208109695 |
| 25 | 3.42 | 3.41941897174238 | 0.000581028257617078 |
| 26 | 3.42 | 3.42193432825945 | -0.00193432825945372 |
| 27 | 3.43 | 3.4727165374959 | -0.0427165374958975 |
| 28 | 3.47 | 3.45200421047133 | 0.0179957895286749 |
| 29 | 3.51 | 3.47289650400379 | 0.0371034959962131 |
| 30 | 3.52 | 3.51387714558567 | 0.00612285441432858 |
| 31 | 3.52 | 3.52362230533124 | -0.00362230533124253 |
| 32 | 3.52 | 3.54310990150734 | -0.0231099015073419 |
| 33 | 3.52 | 3.52041577585477 | -0.00041577585477004 |
| 34 | 3.52 | 3.52748812027504 | -0.00748812027503831 |
| 35 | 3.52 | 3.51645687669323 | 0.00354312330676931 |
| 36 | 3.52 | 3.51696718774437 | 0.00303281225562957 |
| 37 | 3.52 | 3.5191306779936 | 0.000869322006402662 |
| 38 | 3.52 | 3.52165365408479 | -0.00165365408478824 |
| 39 | 3.58 | 3.57244328151079 | 0.0075567184892078 |
| 40 | 3.6 | 3.60305967146968 | -0.00305967146967623 |
| 41 | 3.61 | 3.60339547133419 | 0.00660452866581362 |
| 42 | 3.61 | 3.61357002834733 | -0.00357002834733366 |
| 43 | 3.61 | 3.61305900619874 | -0.00305900619874011 |
| 44 | 3.63 | 3.63256149031296 | -0.00256149031295827 |
| 45 | 3.68 | 3.63041045705419 | 0.0495895429458146 |
| 46 | 3.69 | 3.68880443690569 | 0.00119556309431079 |
| 47 | 3.69 | 3.68800270218194 | 0.00199729781806424 |
| 48 | 3.69 | 3.68847215722445 | 0.00152784277555273 |
| 49 | 3.69 | 3.69059587128515 | -0.000595871285150817 |
| 50 | 3.69 | 3.69308012246839 | -0.00308012246838807 |
| 51 | 3.69 | 3.74383204848177 | -0.0538320484817723 |
| 52 | 3.69 | 3.71282593964543 | -0.0228259396454327 |
| 53 | 3.69 | 3.69263931907566 | -0.00263931907565684 |
| 54 | 3.78 | 3.69256956214403 | 0.0874304378559736 |
| 55 | 3.79 | 3.78446367295485 | 0.00553632704515428 |
| 56 | 3.79 | 3.81419333084239 | -0.0241933308423921 |
| 57 | 3.8 | 3.79147057026396 | 0.00852942973603943 |
| 58 | 3.8 | 3.80877933554769 | -0.00877933554769017 |
| 59 | 3.8 | 3.79771396527907 | 0.00228603472093081 |
| 60 | 3.8 | 3.79819105160822 | 0.00180894839178247 |
| 61 | 3.81 | 3.80032219526144 | 0.00967780473856283 |
| 62 | 3.95 | 3.813077978645 | 0.136922021354998 |
| 63 | 3.99 | 4.00753014691589 | -0.0175301469158899 |
| 64 | 4 | 4.01748349360311 | -0.0174834936031125 |
| 65 | 4.06 | 4.00743807333259 | 0.0525619266674076 |
| 66 | 4.16 | 4.06882727964672 | 0.0911727203532831 |
| 67 | 4.19 | 4.17082029859893 | 0.0191797014010735 |
| 68 | 4.2 | 4.22091054946704 | -0.0209105494670379 |
| 69 | 4.2 | 4.20827455246262 | -0.00827455246261621 |
| 70 | 4.2 | 4.21513919022567 | -0.0151391902256677 |
| 71 | 4.2 | 4.20390572965223 | -0.00390572965222535 |
| 72 | 4.2 | 4.20421916828601 | -0.00421916828601443 |
| 73 | 4.23 | 4.20619098943563 | 0.0238090105643733 |
| 74 | 4.38 | 4.23932025913532 | 0.140679740864684 |
| 75 | 4.43 | 4.44387174354624 | -0.0138717435462423 |
| 76 | 4.44 | 4.46392178145814 | -0.0239217814581387 |
| 77 | 4.44 | 4.453706197902 | -0.0137061979019961 |
| 78 | 4.44 | 4.45334394450157 | -0.0133439445015719 |
| 79 | 4.44 | 4.45257459875459 | -0.0125745987545853 |
| 80 | 4.44 | 4.47182558673654 | -0.0318255867365389 |
| 81 | 4.45 | 4.44890110642005 | 0.0010988935799503 |
| 82 | 4.45 | 4.46601348339764 | -0.0160134833976437 |
| 83 | 4.45 | 4.45475691534562 | -0.00475691534561573 |
| 84 | 4.45 | 4.4550478572291 | -0.00504785722910039 |
| 85 | 4.45 | 4.4569977762152 | -0.00699777621520425 |
| 86 | 4.45 | 4.45931282570978 | -0.00931282570978365 |
| 87 | 4.45 | 4.50990002201773 | -0.0599000220177324 |
| 88 | 4.45 | 4.47873353726512 | -0.0287335372651247 |
| 89 | 4.46 | 4.45839077949805 | 0.001609220501952 |
| 90 | 4.46 | 4.46843331103035 | -0.00843331103035361 |
| 91 | 4.46 | 4.46779375282079 | -0.00779375282079364 |
| 92 | 4.48 | 4.48717109806891 | -0.00717109806891258 |
| 93 | 4.58 | 4.4848982333514 | 0.095101766648602 |
| 94 | 4.67 | 4.59449509659296 | 0.0755049034070385 |
| 95 | 4.68 | 4.67565735008856 | 0.00434264991144406 |
| 96 | 4.68 | 4.6861887925456 | -0.00618879254559968 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 97 | 4.68810855672867 | 4.62124289973468 | 4.75497421372266 |
| 98 | 4.69871711345734 | 4.60289700939805 | 4.79453721751663 |
| 99 | 4.76015900351934 | 4.64125704755383 | 4.87906095948485 |
| 100 | 4.79201756024801 | 4.65292834133062 | 4.93110677916541 |
| 101 | 4.80429278364335 | 4.64677406804374 | 4.96181149924296 |
| 102 | 4.81656800703869 | 4.6418026605593 | 4.99133335351807 |
| 103 | 4.82842656376736 | 4.6372606701589 | 5.01959245737582 |
| 104 | 4.85986845382936 | 4.65293172491526 | 5.06680518274346 |
| 105 | 4.86922701055803 | 4.64700098738333 | 5.09145303373274 |
| 106 | 4.88566890062004 | 4.64852879003436 | 5.12280901120571 |
| 107 | 4.89127745734871 | 4.63951936680616 | 5.14303554789125 |
| 108 | 4.89730268074404 | 4.63116218391292 | 5.16344317757516 |
