| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.842164161589222 |
| beta | 0 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 3.07 | 3.05760416666667 | 0.0123958333333332 |
| 14 | 3.07 | 3.06791091749546 | 0.00208908250454254 |
| 15 | 3.1 | 3.09828769215381 | 0.00171230784618892 |
| 16 | 3.1 | 3.09918049403124 | 0.000819505968763234 |
| 17 | 3.1 | 3.10015474349743 | -0.000154743497428278 |
| 18 | 3.1 | 3.09989184831208 | 0.000108151687920444 |
| 19 | 3.09 | 3.09651702069675 | -0.00651702069675242 |
| 20 | 3.08 | 3.06297937700137 | 0.0170206229986301 |
| 21 | 3.1 | 3.08884762660783 | 0.0111523733921715 |
| 22 | 3.08 | 3.10852384670447 | -0.0285238467044682 |
| 23 | 3.08 | 3.07478617616839 | 0.00521382383160862 |
| 24 | 3.09 | 3.08904449598664 | 0.000955504013363306 |
| 25 | 3.11 | 3.10167311821234 | 0.00832688178766317 |
| 26 | 3.19 | 3.10692636921577 | 0.0830736307842321 |
| 27 | 3.24 | 3.20544595953367 | 0.0345540404663254 |
| 28 | 3.25 | 3.23385597549542 | 0.016144024504583 |
| 29 | 3.22 | 3.24758221378477 | -0.0275822137847679 |
| 30 | 3.21 | 3.22426238036236 | -0.014262380362362 |
| 31 | 3.21 | 3.20773951603337 | 0.00226048396663359 |
| 32 | 3.19 | 3.18530905592054 | 0.00469094407945514 |
| 33 | 3.21 | 3.19986747172073 | 0.010132528279267 |
| 34 | 3.21 | 3.21242248534899 | -0.0024224853489887 |
| 35 | 3.19 | 3.20599145943027 | -0.0159914594302748 |
| 36 | 3.18 | 3.20171933417028 | -0.0217193341702799 |
| 37 | 3.16 | 3.19641548789913 | -0.0364154878991299 |
| 38 | 3.15 | 3.17578603444412 | -0.0257860344441219 |
| 39 | 3.15 | 3.17496978584693 | -0.0249697858469342 |
| 40 | 3.14 | 3.15034520822251 | -0.0103452082225099 |
| 41 | 3.14 | 3.13486159656016 | 0.00513840343984207 |
| 42 | 3.12 | 3.14120024138511 | -0.0212002413851149 |
| 43 | 3.12 | 3.12144245928898 | -0.00144245928898457 |
| 44 | 3.12 | 3.09627712678351 | 0.023722873216486 |
| 45 | 3.12 | 3.12772242823328 | -0.00772242823327529 |
| 46 | 3.13 | 3.12325900627766 | 0.00674099372234016 |
| 47 | 3.14 | 3.1224034636278 | 0.0175965363722024 |
| 48 | 3.14 | 3.14551388078036 | -0.00551388078035808 |
| 49 | 3.16 | 3.1515381068313 | 0.00846189316870216 |
| 50 | 3.19 | 3.17038048407552 | 0.0196195159244796 |
| 51 | 3.18 | 3.20793199601769 | -0.0279319960176916 |
| 52 | 3.18 | 3.18312103361912 | -0.0031210336191152 |
| 53 | 3.19 | 3.17616523173316 | 0.01383476826684 |
| 54 | 3.18 | 3.18567046126297 | -0.005670461262969 |
| 55 | 3.17 | 3.18210978952535 | -0.012109789525351 |
| 56 | 3.17 | 3.15193280514986 | 0.0180671948501376 |
| 57 | 3.16 | 3.17365190145161 | -0.0136519014516066 |
| 58 | 3.15 | 3.16647773598506 | -0.0164777359850627 |
| 59 | 3.14 | 3.14778160497354 | -0.00778160497354374 |
| 60 | 3.15 | 3.14587180892967 | 0.00412819107032592 |
| 61 | 3.15 | 3.16222212033542 | -0.0122221203354176 |
| 62 | 3.16 | 3.16540623543097 | -0.00540623543097185 |
| 63 | 3.18 | 3.17437662370965 | 0.00562337629035348 |
| 64 | 3.18 | 3.18174085234965 | -0.00174085234964627 |
| 65 | 3.19 | 3.17862362287193 | 0.011376377128069 |
| 66 | 3.18 | 3.18297985923327 | -0.0029798592332666 |
| 67 | 3.19 | 3.18066875932307 | 0.00933124067693214 |
| 68 | 3.2 | 3.17331165180111 | 0.026688348198892 |
| 69 | 3.2 | 3.19728476432632 | 0.00271523567367948 |
| 70 | 3.18 | 3.20344839721171 | -0.0234483972117103 |
| 71 | 3.2 | 3.18025438626166 | 0.0197456137383374 |
| 72 | 3.21 | 3.20340681992905 | 0.00659318007094711 |
| 73 | 3.24 | 3.21925239162083 | 0.0207476083791716 |
| 74 | 3.29 | 3.25127822156553 | 0.0387217784344664 |
| 75 | 3.28 | 3.29915250965717 | -0.0191525096571739 |
| 76 | 3.27 | 3.2844890358789 | -0.0144890358789009 |
| 77 | 3.29 | 3.27270611201973 | 0.0172938879802733 |
| 78 | 3.27 | 3.27977993534409 | -0.00977993534408972 |
| 79 | 3.27 | 3.27368518781336 | -0.00368518781336169 |
| 80 | 3.25 | 3.2581056843231 | -0.00810568432310221 |
| 81 | 3.25 | 3.24899269330639 | 0.00100730669361138 |
| 82 | 3.23 | 3.24958841068189 | -0.0195884106818882 |
| 83 | 3.23 | 3.2364627049841 | -0.00646270498409907 |
| 84 | 3.25 | 3.23546750649291 | 0.0145324935070894 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 3.26023335948748 | 3.22409487429457 | 3.2963718446804 |
| 86 | 3.27762326541698 | 3.23037656013998 | 3.32486997069397 |
| 87 | 3.28375282265474 | 3.22755218024716 | 3.33995346506232 |
| 88 | 3.28595496940793 | 3.22204273853999 | 3.34986720027587 |
| 89 | 3.29139067673641 | 3.22060201731973 | 3.36217933615308 |
| 90 | 3.27962698778586 | 3.20257314070797 | 3.35668083486375 |
| 91 | 3.282730520891 | 3.19988393739478 | 3.36557710438721 |
| 92 | 3.26955683773307 | 3.18129689526488 | 3.35781678020126 |
| 93 | 3.26870852013598 | 3.17534857962625 | 3.36206846064571 |
| 94 | 3.26520517759476 | 3.16700976253136 | 3.36340059265816 |
| 95 | 3.27064783611929 | 3.1678441368329 | 3.37345153540568 |
| 96 | 3.27840909090909 | 3.17119499839109 | 3.3856231834271 |
