| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0330450901927309 |
| gamma | 0.00480500770391178 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 1.38 | 1.37990651709402 | 9.34829059822118e-05 |
| 14 | 1.38 | 1.38008321735619 | -8.32173561877703e-05 |
| 15 | 1.38 | 1.38008046743115 | -8.046743114698e-05 |
| 16 | 1.38 | 1.38007780837763 | -7.78083776271643e-05 |
| 17 | 1.38 | 1.38007523719277 | -7.52371927708051e-05 |
| 18 | 1.38 | 1.37798941763962 | 0.00201058236038354 |
| 19 | 1.38 | 1.38222252418172 | -0.00222252418172175 |
| 20 | 1.38 | 1.38006574733635 | -6.57473363481209e-05 |
| 21 | 1.38 | 1.38006357470969 | -6.35747096884298e-05 |
| 22 | 1.38 | 1.38006147387767 | -6.14738776727464e-05 |
| 23 | 1.38 | 1.38005944246784 | -5.94424678406202e-05 |
| 24 | 1.43 | 1.38005747818613 | 0.0499425218138705 |
| 25 | 1.43 | 1.43170783332392 | -0.00170783332392133 |
| 26 | 1.43 | 1.43165139781770 | -0.00165139781769819 |
| 27 | 1.43 | 1.43159682722787 | -0.00159682722786836 |
| 28 | 1.43 | 1.4315440599281 | -0.00154405992810114 |
| 29 | 1.43 | 1.43149303632851 | -0.00149303632851416 |
| 30 | 1.43 | 1.42936036547504 | 0.000639634524955968 |
| 31 | 1.43 | 1.43354816892228 | -0.00354816892227805 |
| 32 | 1.43 | 1.43134758602689 | -0.00134758602688922 |
| 33 | 1.43 | 1.43130305492509 | -0.00130305492508809 |
| 34 | 1.43 | 1.43125999535756 | -0.00125999535756249 |
| 35 | 1.43 | 1.43121835869733 | -0.00121835869732934 |
| 36 | 1.43 | 1.43117809792429 | -0.00117809792428902 |
| 37 | 1.43 | 1.43113916757213 | -0.00113916757212507 |
| 38 | 1.43 | 1.43110152367696 | -0.00110152367695959 |
| 39 | 1.43 | 1.43106512372771 | -0.00106512372770506 |
| 40 | 1.43 | 1.43102992661806 | -0.00102992661805668 |
| 41 | 1.43 | 1.43099589260007 | -0.000995892600071047 |
| 42 | 1.43 | 1.42887964990595 | 0.00112035009405376 |
| 43 | 1.44 | 1.43308333864252 | 0.00691666135748203 |
| 44 | 1.48 | 1.44122856700758 | 0.0387714329924247 |
| 45 | 1.48 | 1.48250977250771 | -0.00250977250771145 |
| 46 | 1.48 | 1.48242683684883 | -0.00242683684883094 |
| 47 | 1.48 | 1.48234664180628 | -0.00234664180627830 |
| 48 | 1.48 | 1.48226909681614 | -0.00226909681613985 |
| 49 | 1.48 | 1.48219411430719 | -0.00219411430719441 |
| 50 | 1.48 | 1.48212160960202 | -0.00212160960202001 |
| 51 | 1.48 | 1.48205150082137 | -0.00205150082136751 |
| 52 | 1.48 | 1.48198370879169 | -0.00198370879169496 |
| 53 | 1.48 | 1.48191815695576 | -0.00191815695575737 |
| 54 | 1.48 | 1.47977143795282 | 0.00022856204718269 |
| 55 | 1.48 | 1.48394565747295 | -0.00394565747294751 |
| 56 | 1.48 | 1.48173193953255 | -0.00173193953255102 |
| 57 | 1.48 | 1.48167470743449 | -0.00167470743448961 |
| 58 | 1.48 | 1.48161936657627 | -0.00161936657627049 |
| 59 | 1.48 | 1.48156585446170 | -0.00156585446170254 |
| 60 | 1.48 | 1.48151411065979 | -0.00151411065978690 |
| 61 | 1.48 | 1.48146407673647 | -0.00146407673647242 |
| 62 | 1.48 | 1.48141569618867 | -0.00141569618866666 |
| 63 | 1.48 | 1.48136891438043 | -0.00136891438042652 |
| 64 | 1.48 | 1.48132367848126 | -0.00132367848125936 |
| 65 | 1.48 | 1.48127993740646 | -0.00127993740645982 |
| 66 | 1.48 | 1.47915430842609 | 0.00084569157391079 |
| 67 | 1.48 | 1.48334892104709 | -0.00334892104709072 |
| 68 | 1.48 | 1.48115492231571 | -0.00115492231570813 |
| 69 | 1.48 | 1.48111675780362 | -0.00111675780361975 |
| 70 | 1.48 | 1.48107985444128 | -0.00107985444127578 |
| 71 | 1.48 | 1.48104417055387 | -0.00104417055386885 |
| 72 | 1.48 | 1.48100966584374 | -0.00100966584373974 |
| 73 | 1.48 | 1.48097630134487 | -0.000976301344868702 |
| 74 | 1.57 | 1.48094403937887 | 0.0890559606211279 |
| 75 | 1.58 | 1.57388690162980 | 0.00611309837020224 |
| 76 | 1.58 | 1.58408890951680 | -0.00408890951679819 |
| 77 | 1.58 | 1.58395379113303 | -0.00395379113302563 |
| 78 | 1.58 | 1.58173980441510 | -0.00173980441509825 |
| 79 | 1.59 | 1.58584897908795 | 0.00415102091204989 |
| 80 | 1.6 | 1.59390281661505 | 0.00609718338495258 |
| 81 | 1.6 | 1.60410429858992 | -0.00410429858992489 |
| 82 | 1.61 | 1.60396867167284 | 0.00603132832715714 |
| 83 | 1.61 | 1.61416797746140 | -0.00416797746139586 |
| 84 | 1.61 | 1.61403024627026 | -0.00403024627026261 |
| 85 | 1.62 | 1.61389706641876 | 0.00610293358123704 |
| 86 | 1.63 | 1.62409873840940 | 0.00590126159060467 |
| 87 | 1.63 | 1.63429374613091 | -0.00429374613090761 |
| 88 | 1.64 | 1.63415185890275 | 0.00584814109725285 |
| 89 | 1.64 | 1.64434511125277 | -0.00434511125276571 |
| 90 | 1.64 | 1.64211819332619 | -0.00211819332618735 |
| 91 | 1.64 | 1.64621486410334 | -0.00621486410334415 |
| 92 | 1.64 | 1.64392616002518 | -0.00392616002518054 |
| 93 | 1.65 | 1.64379641971304 | 0.00620358028696266 |
| 94 | 1.65 | 1.65400141758314 | -0.00400141758313777 |
| 95 | 1.65 | 1.65386919037820 | -0.00386919037820421 |
| 96 | 1.65 | 1.65374133263318 | -0.00374133263318366 |
| 97 | 1.65 | 1.65361769995888 | -0.00361769995887906 |
| 98 | 1.66 | 1.65349815273745 | 0.00650184726255243 |
| 99 | 1.66 | 1.66371300686666 | -0.00371300686665799 |
| 100 | 1.67 | 1.66359031021986 | 0.0064096897801369 |
| 101 | 1.68 | 1.67380211899676 | 0.00619788100324481 |
| 102 | 1.68 | 1.68192359520018 | -0.00192359520017793 |
| 103 | 1.68 | 1.68602669648996 | -0.00602669648996024 |
| 104 | 1.68 | 1.68374421042755 | -0.00374421042755202 |
| 105 | 1.69 | 1.68362048265627 | 0.00637951734372688 |
| 106 | 1.7 | 1.69383129438228 | 0.00616870561771732 |
| 107 | 1.7 | 1.70403513981579 | -0.00403513981579251 |
| 108 | 1.71 | 1.70390179825664 | 0.00609820174336062 |
| 109 | 1.72 | 1.71410331388326 | 0.00589668611673777 |
| 110 | 1.73 | 1.72429817040783 | 0.00570182959217203 |
| 111 | 1.74 | 1.73448658788096 | 0.00551341211903522 |
| 112 | 1.74 | 1.74466877908171 | -0.00466877908170815 |
| 113 | 1.75 | 1.74451449885586 | 0.00548550114413682 |
| 114 | 1.75 | 1.75261243440259 | -0.00261243440259018 |
| 115 | 1.75 | 1.7566927729388 | -0.00669277293880044 |
| 116 | 1.76 | 1.75438827632007 | 0.0056117236799349 |
| 117 | 1.79 | 1.76457371623521 | 0.0254262837647947 |
| 118 | 1.83 | 1.79541393007548 | 0.0345860699245211 |
| 119 | 1.84 | 1.83655682987555 | 0.00344317012445328 |
| 120 | 1.85 | 1.84667060974286 | 0.00332939025714185 |
| 121 | 1.87 | 1.85678062974419 | 0.0132193702558077 |
| 122 | 1.87 | 1.87721746502659 | -0.0072174650265866 |
| 123 | 1.87 | 1.87697896324382 | -0.00697896324382019 |
| 124 | 1.88 | 1.87674834277398 | 0.00325165722602350 |
| 125 | 1.88 | 1.88685579408029 | -0.00685579408028603 |
| 126 | 1.88 | 1.88454591041323 | -0.00454591041322705 |
| 127 | 1.88 | 1.88856235706028 | -0.00856235706028041 |
| 128 | 1.89 | 1.88619607986563 | 0.00380392013437225 |
| 129 | 1.89 | 1.89632178074955 | -0.00632178074955414 |
| 130 | 1.89 | 1.89611287693451 | -0.00611287693450646 |
| 131 | 1.9 | 1.89591087636487 | 0.00408912363513148 |
| 132 | 1.89 | 1.9060460018242 | -0.0160460018242008 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 133 | 1.89551576024669 | 1.87305534603914 | 1.91797617445424 |
| 134 | 1.90103152049337 | 1.86873861399600 | 1.93332442699074 |
| 135 | 1.90654728074006 | 1.86634545799856 | 1.94674910348156 |
| 136 | 1.91206304098675 | 1.86488639239692 | 1.95923968957657 |
| 137 | 1.91757880123344 | 1.86398512238925 | 1.97117248007763 |
| 138 | 1.92101122814679 | 1.86136873480422 | 1.98065372148936 |
| 139 | 1.92861032172681 | 1.86317660172650 | 1.99404404172712 |
| 140 | 1.93412608197350 | 1.86308793549109 | 2.00516422845591 |
| 141 | 1.93964184222019 | 1.86313780062387 | 2.0161458838165 |
| 142 | 1.94515760246687 | 1.86329171318116 | 2.02702349175259 |
| 143 | 1.95067336271356 | 1.86352414389728 | 2.03782258152984 |
| 144 | 1.95618912296025 | 1.86381565460201 | 2.04856259131848 |
