| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.0963474453290963 |
| beta | 0.343443065425805 |
| gamma | 0.235170688807855 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 101.8 | 101.277287425462 | 0.522712574538346 |
| 14 | 102.9 | 102.252139067473 | 0.647860932527124 |
| 15 | 119 | 118.518061280529 | 0.481938719470818 |
| 16 | 112.8 | 112.466915237244 | 0.333084762755533 |
| 17 | 120.9 | 120.404675682050 | 0.49532431794988 |
| 18 | 123.1 | 122.655194166115 | 0.444805833884828 |
| 19 | 121.9 | 117.395196072577 | 4.50480392742267 |
| 20 | 119.4 | 118.839009955928 | 0.560990044072028 |
| 21 | 110.9 | 116.433708685718 | -5.5337086857179 |
| 22 | 116.8 | 113.178578254901 | 3.62142174509883 |
| 23 | 120.6 | 120.337964576642 | 0.262035423357545 |
| 24 | 143.3 | 145.590981100622 | -2.29098110062182 |
| 25 | 106.4 | 104.913320222304 | 1.48667977769622 |
| 26 | 106.9 | 106.203322696405 | 0.696677303595152 |
| 27 | 125.6 | 123.228854121050 | 2.37114587895019 |
| 28 | 110.9 | 117.316165731205 | -6.41616573120494 |
| 29 | 127 | 124.942719534639 | 2.05728046536133 |
| 30 | 124.3 | 127.481482263572 | -3.18148226357204 |
| 31 | 121.3 | 122.520167586333 | -1.22016758633264 |
| 32 | 124.4 | 122.333551608785 | 2.06644839121475 |
| 33 | 113.2 | 118.472074619633 | -5.27207461963347 |
| 34 | 120.2 | 116.988041226851 | 3.21195877314879 |
| 35 | 122.6 | 123.352083403192 | -0.75208340319216 |
| 36 | 143.3 | 148.268458737549 | -4.96845873754907 |
| 37 | 106.5 | 107.073400127399 | -0.573400127398642 |
| 38 | 105.9 | 107.676024966410 | -1.77602496641025 |
| 39 | 114 | 124.512357215434 | -10.5123572154341 |
| 40 | 121.6 | 114.672142810139 | 6.92785718986075 |
| 41 | 119.7 | 124.946482739439 | -5.24648273943873 |
| 42 | 122.5 | 124.973556227158 | -2.47355622715817 |
| 43 | 126.5 | 119.920465493495 | 6.57953450650491 |
| 44 | 118.2 | 120.795164474322 | -2.59516447432230 |
| 45 | 115.5 | 114.524973804509 | 0.97502619549131 |
| 46 | 120.1 | 115.121695811683 | 4.97830418831667 |
| 47 | 115.3 | 120.451306748820 | -5.15130674882023 |
| 48 | 146.5 | 142.944858182845 | 3.55514181715455 |
| 49 | 107.7 | 104.290950679179 | 3.40904932082121 |
| 50 | 106.3 | 104.995350736643 | 1.30464926335661 |
| 51 | 121.8 | 120.065442417401 | 1.73455758259944 |
| 52 | 115.8 | 115.619359551648 | 0.180640448352392 |
| 53 | 115.4 | 122.844863691546 | -7.44486369154588 |
| 54 | 124.3 | 123.427368486299 | 0.872631513700611 |
| 55 | 121.7 | 120.924668764043 | 0.77533123595687 |
| 56 | 118.7 | 119.402754965216 | -0.702754965215661 |
| 57 | 113.5 | 114.257885189853 | -0.757885189853411 |
| 58 | 113.4 | 115.626155831230 | -2.22615583122963 |
| 59 | 115.1 | 117.932674009311 | -2.83267400931095 |
| 60 | 144.2 | 142.163025097462 | 2.03697490253779 |
| 61 | 100.9 | 103.687844119812 | -2.78784411981181 |
| 62 | 103.2 | 103.046644107937 | 0.153355892062962 |
| 63 | 121.3 | 117.375343143529 | 3.92465685647123 |
| 64 | 111.9 | 112.625617659283 | -0.725617659282904 |
| 65 | 117.3 | 117.637213121795 | -0.337213121795472 |
| 66 | 124.2 | 120.473389731657 | 3.72661026834345 |
| 67 | 122 | 118.257337941230 | 3.74266205876971 |
| 68 | 119.6 | 116.817228224179 | 2.78277177582108 |
| 69 | 114.9 | 112.263465188583 | 2.63653481141705 |
| 70 | 112.2 | 113.92404484476 | -1.72404484475999 |
| 71 | 115.3 | 116.440135139821 | -1.14013513982114 |
| 72 | 143 | 142.163290190717 | 0.836709809283263 |
| 73 | 104 | 102.998584803698 | 1.00141519630225 |
| 74 | 105.3 | 103.777631362056 | 1.52236863794367 |
| 75 | 124.3 | 119.706660516196 | 4.59333948380412 |
| 76 | 114.1 | 114.493415203007 | -0.393415203007493 |
| 77 | 124.8 | 120.294008143440 | 4.50599185656037 |
| 78 | 131.9 | 125.327666993841 | 6.57233300615901 |
| 79 | 125.8 | 124.137266206681 | 1.66273379331872 |
| 80 | 125.2 | 122.96485063182 | 2.23514936818000 |
| 81 | 119.8 | 118.800987089810 | 0.999012910189592 |
| 82 | 116.2 | 120.045641988447 | -3.84564198844703 |
| 83 | 120.2 | 123.226948746746 | -3.02694874674629 |
| 84 | 148.6 | 151.385830782402 | -2.7858307824018 |
| 85 | 109.4 | 109.894663681849 | -0.494663681848593 |
| 86 | 109.6 | 111.022121009392 | -1.42212100939206 |
| 87 | 135.2 | 128.629941140805 | 6.5700588591946 |
| 88 | 115.2 | 122.398097210631 | -7.19809721063108 |
| 89 | 129.1 | 129.104716185616 | -0.00471618561613241 |
| 90 | 138.8 | 134.364285581255 | 4.43571441874542 |
| 91 | 126 | 131.598390430252 | -5.59839043025167 |
| 92 | 130.7 | 129.39422936014 | 1.30577063985996 |
| 93 | 120.5 | 124.253997514669 | -3.75399751466911 |
| 94 | 126.5 | 123.459716653618 | 3.04028334638184 |
| 95 | 128 | 127.299860757428 | 0.700139242571694 |
| 96 | 151.7 | 156.800869115537 | -5.10086911553734 |
| 97 | 114.8 | 113.774958224513 | 1.02504177548667 |
| 98 | 118.9 | 114.705292845492 | 4.19470715450844 |
| 99 | 131.5 | 135.345341936157 | -3.84534193615750 |
| 100 | 124.8 | 124.532732914897 | 0.267267085102603 |
| 101 | 137 | 133.739601269251 | 3.2603987307493 |
| 102 | 137.1 | 140.527534084171 | -3.42753408417053 |
| 103 | 137 | 134.473150154057 | 2.52684984594291 |
| 104 | 131.3 | 134.56431364795 | -3.26431364794996 |
| 105 | 126 | 127.594985554761 | -1.59498555476145 |
| 106 | 129.7 | 128.467604706045 | 1.23239529395485 |
| 107 | 125.1 | 131.654687024155 | -6.55468702415473 |
| 108 | 157.8 | 159.60355805447 | -1.80355805446990 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 109 | 116.875154931201 | 114.788675712536 | 118.961634149867 |
| 110 | 118.172143695526 | 115.906233084753 | 120.438054306299 |
| 111 | 136.601904778109 | 133.952754809723 | 139.251054746495 |
| 112 | 126.569537428808 | 123.665702292737 | 129.473372564879 |
| 113 | 136.218444136065 | 132.757197211304 | 139.679691060827 |
| 114 | 140.881517332329 | 136.82945040822 | 144.933584256437 |
| 115 | 136.059447407979 | 131.574283642735 | 140.544611173223 |
| 116 | 134.271964059335 | 129.261572316064 | 139.282355802606 |
| 117 | 127.665606808959 | 122.282097997682 | 133.049115620235 |
| 118 | 129.078457649881 | 123.020688463827 | 135.136226835936 |
| 119 | 130.224076872719 | 123.456852988829 | 136.991300756609 |
| 120 | 159.889159926174 | 116.120048171011 | 203.658271681337 |
