| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.187080608713926 |
| gamma | 0 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 4.19 | 4.18 | 0.00999999999999979 |
| 4 | 4.19 | 4.18187080608714 | 0.00812919391286027 |
| 5 | 4.19 | 4.18339162063271 | 0.00660837936728864 |
| 6 | 4.18 | 4.18462792026736 | -0.0046279202673567 |
| 7 | 4.2 | 4.17376212612666 | 0.0262378738733409 |
| 8 | 4.19 | 4.19867072354224 | -0.0086707235422434 |
| 9 | 4.17 | 4.18704859930397 | -0.0170485993039708 |
| 10 | 4.21 | 4.16385913696846 | 0.0461408630315363 |
| 11 | 4.22 | 4.21249119771099 | 0.00750880228901085 |
| 12 | 4.23 | 4.22389594901393 | 0.00610405098607103 |
| 13 | 4.21 | 4.23503789858803 | -0.0250378985880255 |
| 14 | 4.23 | 4.21035379327926 | 0.0196462067207408 |
| 15 | 4.23 | 4.23402921759150 | -0.00402921759149510 |
| 16 | 4.22 | 4.23327542911184 | -0.0132754291118387 |
| 17 | 4.25 | 4.22079185375266 | 0.0292081462473437 |
| 18 | 4.28 | 4.25625613153202 | 0.0237438684679852 |
| 19 | 4.3 | 4.29069814889823 | 0.00930185110177106 |
| 20 | 4.32 | 4.31243834486451 | 0.00756165513548623 |
| 21 | 4.33 | 4.33385298391015 | -0.00385298391014643 |
| 22 | 4.32 | 4.34313216533487 | -0.0231321653348706 |
| 23 | 4.34 | 4.32880458576315 | 0.0111954142368473 |
| 24 | 4.33 | 4.35089903067339 | -0.0208990306733856 |
| 25 | 4.31 | 4.33698922729348 | -0.0269892272934786 |
| 26 | 4.31 | 4.31194006622269 | -0.00194006622269516 |
| 27 | 4.3 | 4.31157711745281 | -0.0115771174528083 |
| 28 | 4.3 | 4.29941126327258 | 0.000588736727415551 |
| 29 | 4.29 | 4.29952140449792 | -0.00952140449792171 |
| 30 | 4.33 | 4.28774013434864 | 0.0422598656513609 |
| 31 | 4.32 | 4.33564613573886 | -0.0156461357388640 |
| 32 | 4.32 | 4.32271904714082 | -0.0027190471408165 |
| 33 | 4.35 | 4.32221036614659 | 0.0277896338534083 |
| 34 | 4.37 | 4.35740926776382 | 0.0125907322361769 |
| 35 | 4.39 | 4.37976474961472 | 0.0102352503852776 |
| 36 | 4.4 | 4.40167956648714 | -0.00167956648713830 |
| 37 | 4.41 | 4.41136535216635 | -0.00136535216635014 |
| 38 | 4.44 | 4.42110992125196 | 0.0188900787480399 |
| 39 | 4.47 | 4.4546438886828 | 0.0153561113172023 |
| 40 | 4.47 | 4.4875167193355 | -0.0175167193354984 |
| 41 | 4.47 | 4.48423968081954 | -0.0142396808195420 |
| 42 | 4.48 | 4.48157571266393 | -0.00157571266392953 |
| 43 | 4.47 | 4.49128092737960 | -0.0212809273796051 |
| 44 | 4.48 | 4.47729967853143 | 0.00270032146856991 |
| 45 | 4.46 | 4.48780485631549 | -0.0278048563154947 |
| 46 | 4.44 | 4.46260310687079 | -0.0226031068707879 |
| 47 | 4.43 | 4.43837450387858 | -0.00837450387857608 |
| 48 | 4.41 | 4.42680779659529 | -0.0168077965952937 |
| 49 | 4.41 | 4.40366338377711 | 0.00633661622289328 |
| 50 | 4.38 | 4.40484884179727 | -0.0248488417972723 |
| 51 | 4.35 | 4.370200105348 | -0.0202001053480023 |
| 52 | 4.37 | 4.33642105734341 | 0.0335789426565878 |
| 53 | 4.4 | 4.36270302637558 | 0.0372969736244233 |
| 54 | 4.39 | 4.39968056690442 | -0.00968056690442243 |
| 55 | 4.36 | 4.38786952055525 | -0.0278695205552459 |
| 56 | 4.34 | 4.35265567368521 | -0.0126556736852059 |
| 57 | 4.33 | 4.33028804254849 | -0.000288042548492129 |
| 58 | 4.33 | 4.32023415537318 | 0.0097658446268154 |
| 59 | 4.34 | 4.32206115553058 | 0.0179388444694242 |
| 60 | 4.34 | 4.33541716547354 | 0.00458283452646047 |
| 61 | 4.35 | 4.33627452494638 | 0.0137254750536151 |
| 62 | 4.37 | 4.3488422951743 | 0.021157704825697 |
| 63 | 4.39 | 4.37280049147208 | 0.0171995085279155 |
| 64 | 4.4 | 4.39601818599707 | 0.00398181400293396 |
| 65 | 4.38 | 4.40676310618452 | -0.0267631061845215 |
| 66 | 4.37 | 4.38175624798845 | -0.011756247988445 |
| 67 | 4.36 | 4.36955688195858 | -0.0095568819585754 |
| 68 | 4.33 | 4.35776897466436 | -0.0277689746643581 |
| 69 | 4.33 | 4.32257393798079 | 0.0074260620192117 |
| 70 | 4.33 | 4.32396321018369 | 0.00603678981631006 |
| 71 | 4.32 | 4.3250925764972 | -0.00509257649720318 |
| 72 | 4.33 | 4.31413985418618 | 0.0158601458138152 |
| 73 | 4.34 | 4.32710697991932 | 0.0128930200806749 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 74 | 4.33951901396418 | 4.30411565811095 | 4.37492236981741 |
| 75 | 4.33903802792836 | 4.28408681464403 | 4.39398924121269 |
| 76 | 4.33855704189253 | 4.26516460073345 | 4.41194948305162 |
| 77 | 4.33807605585671 | 4.24619800052617 | 4.42995411118725 |
| 78 | 4.33759506982089 | 4.22681261882094 | 4.44837752082084 |
| 79 | 4.33711408378507 | 4.20685392362074 | 4.46737424394939 |
| 80 | 4.33663309774925 | 4.18625295812702 | 4.48701323737147 |
| 81 | 4.33615211171342 | 4.16497992249482 | 4.50732430093203 |
| 82 | 4.3356711256776 | 4.14302471137059 | 4.52831753998461 |
| 83 | 4.33519013964178 | 4.12038769585863 | 4.54999258342493 |
| 84 | 4.33470915360596 | 4.09707497928852 | 4.5723433279234 |
| 85 | 4.33422816757014 | 4.07309580744918 | 4.59536052769109 |
