| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.480421268200843 |
| beta | 0.0199237820561068 |
| gamma | 0.495517190826123 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 17.848 | 16.2568319978632 | 1.59116800213676 |
| 14 | 19.592 | 18.8962650104645 | 0.695734989535488 |
| 15 | 21.092 | 20.8016307350822 | 0.290369264917782 |
| 16 | 20.899 | 20.7987378365668 | 0.100262163433207 |
| 17 | 25.89 | 25.9419731335047 | -0.0519731335046565 |
| 18 | 24.965 | 25.0729905458009 | -0.107990545800888 |
| 19 | 22.225 | 23.9751040036675 | -1.75010400366747 |
| 20 | 20.977 | 21.3866845709481 | -0.409684570948105 |
| 21 | 22.897 | 21.6419763863665 | 1.25502361363350 |
| 22 | 22.785 | 22.9062922648777 | -0.121292264877731 |
| 23 | 22.769 | 23.3828607372404 | -0.613860737240394 |
| 24 | 19.637 | 18.7676630819247 | 0.869336918075337 |
| 25 | 20.203 | 20.0863003403317 | 0.116699659668310 |
| 26 | 20.45 | 21.7894375673915 | -1.33943756739151 |
| 27 | 23.083 | 22.5958258132405 | 0.487174186759457 |
| 28 | 21.738 | 22.6235491927387 | -0.88554919273869 |
| 29 | 26.766 | 27.2295612400831 | -0.463561240083109 |
| 30 | 25.28 | 26.1200570971972 | -0.840057097197231 |
| 31 | 22.574 | 24.2123205430961 | -1.63832054309614 |
| 32 | 22.729 | 21.988408056635 | 0.740591943365004 |
| 33 | 21.378 | 23.2016226397241 | -1.82362263972410 |
| 34 | 22.902 | 22.5797859899142 | 0.322214010085844 |
| 35 | 24.989 | 23.0940938538796 | 1.89490614612038 |
| 36 | 21.116 | 20.0415252770837 | 1.07447472291629 |
| 37 | 15.169 | 21.2424042607255 | -6.0734042607255 |
| 38 | 15.846 | 19.5149993446043 | -3.66899934460429 |
| 39 | 20.927 | 19.5684110683126 | 1.3585889316874 |
| 40 | 18.273 | 19.5656146982232 | -1.29261469822315 |
| 41 | 22.538 | 23.9850682666054 | -1.44706826660541 |
| 42 | 15.596 | 22.197079140875 | -6.601079140875 |
| 43 | 14.034 | 17.1519060148900 | -3.11790601488996 |
| 44 | 11.366 | 14.6512841657522 | -3.28528416575221 |
| 45 | 14.861 | 13.0533038409512 | 1.80769615904876 |
| 46 | 15.149 | 14.5463605626839 | 0.602639437316109 |
| 47 | 13.577 | 15.4208436360836 | -1.84384363608365 |
| 48 | 13.026 | 10.1456323651496 | 2.88036763485039 |
| 49 | 13.19 | 10.1758527170071 | 3.01414728299293 |
| 50 | 13.196 | 13.3223700100955 | -0.126370010095545 |
| 51 | 15.826 | 16.2950800490145 | -0.469080049014472 |
| 52 | 14.733 | 14.6370991184400 | 0.0959008815600324 |
| 53 | 16.307 | 19.6025959512777 | -3.29559595127774 |
| 54 | 15.703 | 15.5006249145450 | 0.202375085455026 |
| 55 | 14.589 | 14.5869184264698 | 0.00208157353019445 |
| 56 | 12.043 | 13.5381397873835 | -1.49513978738354 |
| 57 | 15.057 | 14.1245855421042 | 0.932414457895812 |
| 58 | 14.053 | 14.8916690997237 | -0.83866909972367 |
| 59 | 12.698 | 14.4348338803330 | -1.73683388033304 |
| 60 | 10.888 | 10.4193419854109 | 0.468658014589092 |
| 61 | 10.045 | 9.29429751914311 | 0.750702480856885 |
| 62 | 11.549 | 10.4921131811662 | 1.05688681883380 |
| 63 | 13.767 | 13.9036402629653 | -0.136640262965344 |
| 64 | 12.434 | 12.5126021152704 | -0.0786021152703604 |
| 65 | 13.116 | 16.4811897961192 | -3.36518979611921 |
| 66 | 14.211 | 13.2058077877365 | 1.00519221226353 |
| 67 | 12.266 | 12.5933436186570 | -0.327343618657027 |
| 68 | 12.602 | 10.9647935177839 | 1.63720648221611 |
| 69 | 15.714 | 13.6750321530902 | 2.03896784690981 |
| 70 | 13.742 | 14.5222842222188 | -0.780284222218846 |
| 71 | 12.745 | 13.8673557549460 | -1.12235575494603 |
| 72 | 10.491 | 10.7258793510906 | -0.234879351090576 |
| 73 | 10.057 | 9.33970242977608 | 0.717297570223916 |
| 74 | 10.9 | 10.6042268312998 | 0.295773168700189 |
| 75 | 11.771 | 13.3394546704025 | -1.56845467040255 |
| 76 | 11.992 | 11.2584215443654 | 0.733578455634605 |
| 77 | 11.933 | 14.7617431838948 | -2.82874318389483 |
| 78 | 14.504 | 12.8651263389304 | 1.63887366106957 |
| 79 | 11.727 | 12.2159321633832 | -0.488932163383241 |
| 80 | 11.477 | 11.0159091248546 | 0.461090875145414 |
| 81 | 13.578 | 13.2536610004937 | 0.324338999506342 |
| 82 | 11.555 | 12.5240182546296 | -0.969018254629624 |
| 83 | 11.846 | 11.6612361489509 | 0.184763851049114 |
| 84 | 11.397 | 9.35961715722292 | 2.03738284277708 |
| 85 | 10.066 | 9.31538014075278 | 0.750619859247223 |
| 86 | 10.269 | 10.4928556446657 | -0.223855644665703 |
| 87 | 14.279 | 12.4989726223900 | 1.78002737761003 |
| 88 | 13.87 | 12.6518487445950 | 1.21815125540495 |
| 89 | 13.695 | 15.5079970441796 | -1.81299704417958 |
| 90 | 14.42 | 15.2965058733267 | -0.876505873326696 |
| 91 | 11.424 | 12.9138739684875 | -1.48987396848749 |
| 92 | 9.704 | 11.4908188866763 | -1.78681888667628 |
| 93 | 12.464 | 12.6051509499796 | -0.141150949979597 |
| 94 | 14.301 | 11.3061653531070 | 2.99483464689295 |
| 95 | 13.464 | 12.6699731209887 | 0.794026879011284 |
| 96 | 9.893 | 11.1690821105613 | -1.27608211056126 |
| 97 | 11.572 | 9.20102938021473 | 2.37097061978527 |
| 98 | 12.38 | 10.9209104549542 | 1.4590895450458 |
| 99 | 16.692 | 14.2824222906082 | 2.40957770939178 |
| 100 | 16.052 | 14.6300650664331 | 1.42193493356693 |
| 101 | 16.459 | 16.8426439494949 | -0.383643949494942 |
| 102 | 14.761 | 17.6115636959491 | -2.85056369594911 |
| 103 | 13.654 | 14.1563493489163 | -0.502349348916315 |
| 104 | 13.48 | 13.1744377867609 | 0.305562213239071 |
| 105 | 18.068 | 15.7808832743803 | 2.28711672561972 |
| 106 | 16.56 | 16.5423185433153 | 0.0176814566846772 |
| 107 | 14.53 | 15.9671594359957 | -1.43715943599574 |
| 108 | 10.65 | 12.8979731468994 | -2.24797314689945 |
| 109 | 11.651 | 11.4292561808993 | 0.221743819100698 |
| 110 | 13.735 | 11.8885399112734 | 1.84646008872657 |
| 111 | 13.36 | 15.6912834972136 | -2.33128349721361 |
| 112 | 17.818 | 13.4720762388857 | 4.34592376111428 |
| 113 | 20.613 | 16.6175639347857 | 3.99543606521426 |
| 114 | 16.231 | 18.8900960167736 | -2.65909601677363 |
| 115 | 13.862 | 16.1682140241811 | -2.3062140241811 |
| 116 | 12.004 | 14.5472018155865 | -2.54320181558646 |
| 117 | 17.734 | 16.2874533012097 | 1.44654669879025 |
| 118 | 15.034 | 16.0449672498692 | -1.01096724986921 |
| 119 | 12.609 | 14.5754094216707 | -1.96640942167075 |
| 120 | 12.32 | 11.0124916618311 | 1.30750833816887 |
| 121 | 10.833 | 11.8910735500971 | -1.05807355009709 |
| 122 | 11.35 | 12.1448715172094 | -0.794871517209405 |
| 123 | 13.648 | 13.5688441851703 | 0.0791558148296971 |
| 124 | 14.89 | 14.2156342095986 | 0.674365790401389 |
| 125 | 16.325 | 15.4607031867267 | 0.864296813273342 |
| 126 | 18.045 | 14.439434042353 | 3.605565957647 |
| 127 | 15.616 | 14.8017878941969 | 0.814212105803133 |
| 128 | 11.926 | 14.6324538911486 | -2.70645389114858 |
| 129 | 16.855 | 17.3334884643763 | -0.478488464376301 |
| 130 | 15.083 | 15.5270479253007 | -0.444047925300689 |
| 131 | 12.52 | 14.0828736784164 | -1.56287367841638 |
| 132 | 12.355 | 11.5596009462472 | 0.795399053752753 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 133 | 11.5810840335186 | 8.04435956370176 | 15.1178085033355 |
| 134 | 12.4190673231092 | 8.48058960369755 | 16.3575450425208 |
| 135 | 14.4656490169454 | 10.1490216861198 | 18.7822763477709 |
| 136 | 15.2426047130626 | 10.5654574728026 | 19.9197519533226 |
| 137 | 16.2210897326469 | 11.1970273167615 | 21.2451521485323 |
| 138 | 15.4905848508294 | 10.1303559285690 | 20.8508137730898 |
| 139 | 13.3677969913248 | 7.68004249952992 | 19.0555514831196 |
| 140 | 11.8587847058867 | 5.85054150431082 | 17.8670279074626 |
| 141 | 16.4174932378915 | 10.0945467917341 | 22.7404396840489 |
| 142 | 14.8381993395343 | 8.20533876773776 | 21.4710599113309 |
| 143 | 13.3119559448242 | 6.3731634553543 | 20.2507484342941 |
| 144 | 12.1542957289867 | 4.91289052468055 | 19.3957009332929 |
