| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.843623991338351 |
| beta | 0.0118408398755793 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 25.65 | 25.5819364316239 | 0.0680635683760684 |
| 14 | 25.56 | 25.5776136070211 | -0.0176136070211399 |
| 15 | 25.62 | 25.6504188489409 | -0.0304188489409185 |
| 16 | 25.62 | 25.6421174210916 | -0.0221174210915933 |
| 17 | 25.69 | 25.7451816745618 | -0.0551816745618048 |
| 18 | 25.68 | 25.7685509088495 | -0.0885509088494842 |
| 19 | 25.68 | 26.0858011689778 | -0.405801168977835 |
| 20 | 25.83 | 25.7588578626315 | 0.0711421373685077 |
| 21 | 25.93 | 25.7954026929132 | 0.134597307086846 |
| 22 | 26.11 | 25.8151576817308 | 0.294842318269218 |
| 23 | 24.72 | 25.7084611169199 | -0.988461116919861 |
| 24 | 24.62 | 24.4125983671556 | 0.207401632844416 |
| 25 | 24.65 | 24.6828927457645 | -0.0328927457645385 |
| 26 | 25.24 | 24.5706824182867 | 0.66931758171328 |
| 27 | 25.56 | 25.2185382837644 | 0.341461716235578 |
| 28 | 25.9 | 25.5265185872417 | 0.373481412758295 |
| 29 | 25.87 | 25.9633569948208 | -0.093356994820791 |
| 30 | 25.78 | 25.9541290667629 | -0.17412906676293 |
| 31 | 25.78 | 26.1535449529318 | -0.373544952931844 |
| 32 | 25.74 | 25.9326902118613 | -0.192690211861329 |
| 33 | 25.78 | 25.7582410872747 | 0.0217589127253106 |
| 34 | 25.73 | 25.7083926860234 | 0.0216073139765776 |
| 35 | 24.67 | 25.1683125548834 | -0.49831255488343 |
| 36 | 24.31 | 24.4756532429014 | -0.165653242901371 |
| 37 | 24.56 | 24.3926248842715 | 0.167375115728522 |
| 38 | 25 | 24.5601462785977 | 0.439853721402251 |
| 39 | 25.38 | 24.9618320714130 | 0.418167928586954 |
| 40 | 25.99 | 25.3389768599257 | 0.651023140074287 |
| 41 | 26.22 | 25.9391723964979 | 0.280827603502068 |
| 42 | 26.19 | 26.2389411656517 | -0.0489411656517156 |
| 43 | 26.22 | 26.5199916444388 | -0.299991644438823 |
| 44 | 26.22 | 26.3974112576997 | -0.177411257699710 |
| 45 | 26.61 | 26.2774808244409 | 0.332519175559057 |
| 46 | 26.72 | 26.5009720825094 | 0.219027917490610 |
| 47 | 25.46 | 26.0593083445771 | -0.599308344577054 |
| 48 | 25.48 | 25.3456282576335 | 0.134371742366490 |
| 49 | 25.59 | 25.5829445954288 | 0.00705540457121145 |
| 50 | 25.88 | 25.6713828589784 | 0.208617141021605 |
| 51 | 26 | 25.8858482219371 | 0.114151778062944 |
| 52 | 26.97 | 26.0511412122580 | 0.918858787742032 |
| 53 | 27.2 | 26.8302856463779 | 0.369714353622147 |
| 54 | 27.19 | 27.1652474154161 | 0.0247525845839505 |
| 55 | 27.19 | 27.4817195097738 | -0.291719509773802 |
| 56 | 27.19 | 27.3978790297665 | -0.207879029766502 |
| 57 | 27.26 | 27.3442744935536 | -0.0842744935536395 |
| 58 | 26.9 | 27.2065262154050 | -0.306526215405043 |
| 59 | 26.11 | 26.196399282182 | -0.0863992821820183 |
| 60 | 25.87 | 26.0381501473715 | -0.168150147371531 |
| 61 | 26.02 | 26.0053191817461 | 0.0146808182538791 |
| 62 | 26.31 | 26.1367626603854 | 0.173237339614595 |
| 63 | 26.37 | 26.3113080544708 | 0.0586919455292438 |
| 64 | 26.52 | 26.5597960663654 | -0.0397960663653905 |
| 65 | 26.86 | 26.4388924369209 | 0.421107563079147 |
| 66 | 26.92 | 26.7583495693267 | 0.161650430673344 |
| 67 | 26.98 | 27.1372733937366 | -0.157273393736567 |
| 68 | 26.98 | 27.1777585994591 | -0.197758599459089 |
| 69 | 27.03 | 27.1499148573228 | -0.119914857322790 |
| 70 | 26.75 | 26.9448828289851 | -0.194882828985058 |
| 71 | 26.39 | 26.0620168891329 | 0.327983110867081 |
| 72 | 26.3 | 26.2433595470583 | 0.0566404529417461 |
| 73 | 26.3 | 26.4337959219185 | -0.13379592191853 |
| 74 | 26.52 | 26.468330350403 | 0.0516696495970237 |
| 75 | 26.53 | 26.5247468611462 | 0.00525313885380996 |
| 76 | 26.98 | 26.7145583277112 | 0.265441672288802 |
| 77 | 27.22 | 26.9280908097437 | 0.291909190256341 |
| 78 | 27.34 | 27.1015455960160 | 0.238454403983958 |
| 79 | 27.41 | 27.4997236433436 | -0.0897236433436355 |
| 80 | 27.47 | 27.5958718764446 | -0.125871876444609 |
| 81 | 27.46 | 27.646571836462 | -0.186571836461987 |
| 82 | 27.53 | 27.3786427824094 | 0.151357217590608 |
| 83 | 27.21 | 26.8781552014326 | 0.331844798567420 |
| 84 | 26.91 | 27.0288810252406 | -0.118881025240622 |
| 85 | 26.95 | 27.0482671031612 | -0.098267103161163 |
| 86 | 26.91 | 27.1489352796717 | -0.238935279671708 |
| 87 | 27.39 | 26.9571875741348 | 0.432812425865190 |
| 88 | 27.62 | 27.5569120423643 | 0.0630879576357088 |
| 89 | 27.79 | 27.6103780907772 | 0.179621909222831 |
| 90 | 27.88 | 27.6861290547344 | 0.193870945265640 |
| 91 | 27.9 | 28.0003143676811 | -0.100314367681083 |
| 92 | 28.09 | 28.0867076163757 | 0.00329238362428441 |
| 93 | 28.46 | 28.2430041984505 | 0.216995801549508 |
| 94 | 28.73 | 28.3785323780964 | 0.351467621903563 |
| 95 | 27.93 | 28.0872395042733 | -0.157239504273267 |
| 96 | 27.61 | 27.7621466436877 | -0.152146643687651 |
| 97 | 27.65 | 27.7636275457869 | -0.113627545786905 |
| 98 | 28.19 | 27.8361216927336 | 0.35387830726636 |
| 99 | 28.98 | 28.2622342562111 | 0.717765743788853 |
| 100 | 28.99 | 29.0600858832815 | -0.0700858832815179 |
| 101 | 29.02 | 29.0336458364341 | -0.0136458364340761 |
| 102 | 29 | 28.9608685451477 | 0.0391314548522708 |
| 103 | 29.04 | 29.1092515046038 | -0.0692515046038444 |
| 104 | 29.19 | 29.2491051518121 | -0.0591051518120835 |
| 105 | 29.23 | 29.3966098727707 | -0.166609872770746 |
| 106 | 29.26 | 29.2361454579684 | 0.0238545420315681 |
| 107 | 29.02 | 28.5922463311824 | 0.427753668817598 |
| 108 | 28.47 | 28.7706333619727 | -0.300633361972665 |
| 109 | 28.53 | 28.6605567175041 | -0.130556717504103 |
| 110 | 28.48 | 28.7993925477856 | -0.319392547785629 |
| 111 | 28.68 | 28.7152123212211 | -0.0352123212210564 |
| 112 | 28.89 | 28.7479022248779 | 0.142097775122053 |
| 113 | 29.2 | 28.9046805506457 | 0.295319449354302 |
| 114 | 29.21 | 29.0992824888224 | 0.110717511177633 |
| 115 | 29.15 | 29.290299356577 | -0.140299356577003 |
| 116 | 29.22 | 29.3702829534414 | -0.150282953441426 |
| 117 | 29.34 | 29.4216269154447 | -0.0816269154447475 |
| 118 | 29.13 | 29.3610593215966 | -0.231059321596614 |
| 119 | 28.84 | 28.5611415816008 | 0.278858418399228 |
| 120 | 28.76 | 28.4944001079222 | 0.265599892077816 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 121 | 28.888648912328 | 28.3472545041805 | 29.4300433204755 |
| 122 | 29.1094418718592 | 28.3976254664993 | 29.821258277219 |
| 123 | 29.3436840557357 | 28.4920473069582 | 30.1953208045131 |
| 124 | 29.4386949319342 | 28.4645419299981 | 30.4128479338703 |
| 125 | 29.5030248823037 | 28.4177563219468 | 30.5882934426606 |
| 126 | 29.4201394466219 | 28.2319286160688 | 30.6083502771749 |
| 127 | 29.4779118816082 | 28.1929434167673 | 30.7628803464491 |
| 128 | 29.6755081990905 | 28.2986410026273 | 31.0523753955537 |
| 129 | 29.8666858447412 | 28.4018440661703 | 31.3315276233122 |
| 130 | 29.8547436422436 | 28.3051640445757 | 31.4043232399115 |
| 131 | 29.3349307022865 | 27.7033277322897 | 30.9665336722833 |
| 132 | 29.0335173960828 | 27.3221980518196 | 30.7448367403461 |
