| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.482365527798597 |
| beta | 0.029884952185536 |
| gamma | 0.56318604392326 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 21.439 | 23.1357940705128 | -1.69679407051283 |
| 14 | 21.089 | 21.8308888838263 | -0.741888883826274 |
| 15 | 23.709 | 23.9072356973539 | -0.198235697353905 |
| 16 | 21.669 | 21.5846310728866 | 0.0843689271133528 |
| 17 | 21.752 | 21.5160197283919 | 0.235980271608117 |
| 18 | 20.761 | 20.4366089034705 | 0.324391096529528 |
| 19 | 23.479 | 22.4448956631338 | 1.03410433686615 |
| 20 | 23.824 | 22.5193473920287 | 1.30465260797127 |
| 21 | 23.105 | 22.5096927953321 | 0.595307204667908 |
| 22 | 23.11 | 22.9678727290329 | 0.142127270967059 |
| 23 | 21.759 | 21.6371697830083 | 0.121830216991725 |
| 24 | 22.073 | 22.0735991444243 | -0.000599144424295872 |
| 25 | 21.937 | 21.1999737710297 | 0.737026228970262 |
| 26 | 20.035 | 21.3998966917643 | -1.36489669176425 |
| 27 | 23.59 | 23.37769212037 | 0.212307879629964 |
| 28 | 21.672 | 21.3849017949142 | 0.287098205085837 |
| 29 | 22.222 | 21.5105969815421 | 0.711403018457897 |
| 30 | 22.123 | 20.7454595589411 | 1.3775404410589 |
| 31 | 23.95 | 23.5430016422796 | 0.40699835772039 |
| 32 | 23.504 | 23.4591440681923 | 0.044855931807696 |
| 33 | 22.238 | 22.6821684005275 | -0.444168400527488 |
| 34 | 23.142 | 22.5389965359351 | 0.603003464064916 |
| 35 | 21.059 | 21.4634994956161 | -0.404499495616143 |
| 36 | 21.573 | 21.6415793034748 | -0.068579303474781 |
| 37 | 21.548 | 20.9804434705001 | 0.56755652949986 |
| 38 | 20 | 20.5136599636671 | -0.513659963667127 |
| 39 | 22.424 | 23.4019293790765 | -0.977929379076503 |
| 40 | 20.615 | 20.8797279551612 | -0.264727955161195 |
| 41 | 21.761 | 20.8778967559636 | 0.883103244036377 |
| 42 | 22.874 | 20.4072124071409 | 2.46678759285911 |
| 43 | 24.104 | 23.4803703900699 | 0.623629609930138 |
| 44 | 23.748 | 23.4316951404567 | 0.316304859543337 |
| 45 | 23.262 | 22.6832678326538 | 0.578732167346189 |
| 46 | 22.907 | 23.3937031326248 | -0.486703132624793 |
| 47 | 21.519 | 21.5380676807669 | -0.0190676807669163 |
| 48 | 22.025 | 22.0447619534518 | -0.019761953451841 |
| 49 | 22.604 | 21.6380933141611 | 0.965906685838902 |
| 50 | 20.894 | 21.0994716862325 | -0.205471686232485 |
| 51 | 24.677 | 24.056709872243 | 0.620290127756999 |
| 52 | 23.673 | 22.5920445104789 | 1.08095548952105 |
| 53 | 25.32 | 23.6720385753694 | 1.64796142463058 |
| 54 | 23.583 | 24.1410970724191 | -0.558097072419137 |
| 55 | 24.671 | 25.2833429231252 | -0.61234292312524 |
| 56 | 24.454 | 24.5965809917317 | -0.142580991731712 |
| 57 | 24.122 | 23.744388463917 | 0.377611536083027 |
| 58 | 24.252 | 24.0853918548293 | 0.16660814517067 |
| 59 | 22.084 | 22.7288184829374 | -0.64481848293736 |
| 60 | 22.991 | 22.9720492941771 | 0.0189507058228884 |
| 61 | 23.287 | 22.910538488116 | 0.37646151188396 |
| 62 | 23.049 | 21.7767438046729 | 1.27225619532708 |
| 63 | 25.076 | 25.7394594155088 | -0.66345941550879 |
| 64 | 24.037 | 23.8232895445134 | 0.213710455486574 |
| 65 | 24.43 | 24.6711856557921 | -0.241185655792115 |
| 66 | 24.667 | 23.5795666833748 | 1.08743331662524 |
| 67 | 26.451 | 25.5171688515593 | 0.933831148440746 |
| 68 | 25.618 | 25.752887114428 | -0.134887114428022 |
| 69 | 25.014 | 25.0958776357665 | -0.0818776357664852 |
| 70 | 25.11 | 25.1869257926815 | -0.0769257926814788 |
| 71 | 22.964 | 23.5060178004915 | -0.542017800491479 |
| 72 | 23.981 | 24.0235115321253 | -0.0425115321253102 |
| 73 | 23.798 | 24.0668610439396 | -0.268861043939559 |
| 74 | 22.27 | 22.9039129034778 | -0.63391290347785 |
| 75 | 24.775 | 25.3763531714674 | -0.60135317146737 |
| 76 | 22.646 | 23.7402564864315 | -1.0942564864315 |
| 77 | 23.988 | 23.8001648654632 | 0.187835134536808 |
| 78 | 24.737 | 23.2845440636088 | 1.4524559363912 |
| 79 | 26.276 | 25.340432071316 | 0.93556792868403 |
| 80 | 25.816 | 25.2524458728464 | 0.563554127153573 |
| 81 | 25.21 | 24.9448776382104 | 0.265122361789583 |
| 82 | 25.199 | 25.206836087604 | -0.00783608760399446 |
| 83 | 23.162 | 23.4267507000106 | -0.264750700010573 |
| 84 | 24.707 | 24.2306856116084 | 0.4763143883916 |
| 85 | 24.364 | 24.4728703198997 | -0.10887031989968 |
| 86 | 22.644 | 23.2975388545348 | -0.65353885453483 |
| 87 | 25.565 | 25.7865855126477 | -0.221585512647696 |
| 88 | 24.062 | 24.2120380991279 | -0.150038099127936 |
| 89 | 25.431 | 25.1368332057766 | 0.294166794223361 |
| 90 | 24.635 | 25.0783711068732 | -0.443371106873244 |
| 91 | 27.009 | 26.0789627549542 | 0.93003724504581 |
| 92 | 26.606 | 25.889648652711 | 0.716351347288988 |
| 93 | 26.268 | 25.5807780481077 | 0.68722195189229 |
| 94 | 26.462 | 25.9848471676203 | 0.477152832379705 |
| 95 | 25.246 | 24.388876610255 | 0.857123389744991 |
| 96 | 25.18 | 25.9912456901178 | -0.811245690117836 |
| 97 | 24.657 | 25.4644414748617 | -0.807441474861733 |
| 98 | 23.304 | 23.8059702645802 | -0.501970264580219 |
| 99 | 26.982 | 26.5088494317003 | 0.473150568299683 |
| 100 | 26.199 | 25.3150875864228 | 0.88391241357725 |
| 101 | 27.21 | 26.9078372825103 | 0.302162717489722 |
| 102 | 26.122 | 26.6780529212081 | -0.556052921208057 |
| 103 | 26.706 | 28.0628797382096 | -1.35687973820965 |
| 104 | 26.878 | 26.71338085082 | 0.164619149179977 |
| 105 | 26.152 | 26.1271680504587 | 0.0248319495413227 |
| 106 | 26.379 | 26.138220435851 | 0.24077956414903 |
| 107 | 24.712 | 24.5233325272747 | 0.188667472725289 |
| 108 | 25.688 | 25.2915851640017 | 0.396414835998279 |
| 109 | 24.99 | 25.3405269003793 | -0.350526900379329 |
| 110 | 24.239 | 23.9901976362937 | 0.248802363706272 |
| 111 | 26.721 | 27.3490077641817 | -0.628007764181671 |
| 112 | 23.475 | 25.737471030957 | -2.26247103095696 |
| 113 | 24.767 | 25.591201708633 | -0.82420170863299 |
| 114 | 26.219 | 24.4999521968614 | 1.7190478031386 |
| 115 | 28.361 | 26.7135902920563 | 1.64740970794374 |
| 116 | 28.599 | 27.2649612965276 | 1.33403870347243 |
| 117 | 27.914 | 27.2270925240756 | 0.6869074759244 |
| 118 | 27.784 | 27.6550132155793 | 0.12898678442065 |
| 119 | 25.693 | 26.0039486990343 | -0.310948699034306 |
| 120 | 26.881 | 26.617505290655 | 0.263494709345011 |
| 121 | 26.217 | 26.4084011345216 | -0.191401134521563 |
| 122 | 24.218 | 25.3356637163697 | -1.11766371636973 |
| 123 | 27.914 | 27.7861437086171 | 0.127856291382919 |
| 124 | 26.975 | 26.0800374114482 | 0.894962588551767 |
| 125 | 28.527 | 27.9389256516082 | 0.588074348391789 |
| 126 | 27.139 | 28.3535172867185 | -1.21451728671851 |
| 127 | 28.982 | 29.1721200186628 | -0.190120018662842 |
| 128 | 28.169 | 28.7601854122946 | -0.591185412294642 |
| 129 | 28.056 | 27.5916579811038 | 0.464342018896176 |
| 130 | 29.136 | 27.7330225284803 | 1.40297747151966 |
| 131 | 26.291 | 26.5700497176499 | -0.279049717649933 |
| 132 | 26.987 | 27.3687319426189 | -0.381731942618877 |
| 133 | 26.589 | 26.7087524886497 | -0.119752488649709 |
| 134 | 24.848 | 25.3945535954242 | -0.546553595424179 |
| 135 | 27.543 | 28.4858557884287 | -0.942855788428687 |
| 136 | 26.896 | 26.473709118105 | 0.422290881895016 |
| 137 | 28.878 | 27.9951215283185 | 0.882878471681462 |
| 138 | 27.39 | 28.010656757267 | -0.620656757267014 |
| 139 | 28.065 | 29.4071549197916 | -1.34215491979161 |
| 140 | 28.141 | 28.2987915429253 | -0.157791542925331 |
| 141 | 29.048 | 27.6294716139412 | 1.41852838605879 |
| 142 | 28.484 | 28.5009341804023 | -0.0169341804022594 |
| 143 | 26.634 | 26.138420255682 | 0.495579744318029 |
| 144 | 27.735 | 27.2677167655302 | 0.467283234469814 |
| 145 | 27.132 | 27.0927794720995 | 0.039220527900536 |
| 146 | 24.924 | 25.7322654434288 | -0.808265443428777 |
| 147 | 28.963 | 28.5794471056851 | 0.383552894314914 |
| 148 | 26.589 | 27.6218608260071 | -1.03286082600715 |
| 149 | 27.931 | 28.5714269408098 | -0.640426940809775 |
| 150 | 28.009 | 27.3876917685838 | 0.621308231416155 |
| 151 | 29.229 | 29.1646771295079 | 0.064322870492095 |
| 152 | 28.759 | 29.0920366473763 | -0.333036647376261 |
| 153 | 28.405 | 28.8072097155341 | -0.402209715534067 |
| 154 | 27.945 | 28.3651809662531 | -0.420180966253096 |
| 155 | 25.912 | 25.9349945734654 | -0.022994573465418 |
| 156 | 26.619 | 26.7758535992708 | -0.156853599270779 |
| 157 | 26.076 | 26.1360202319584 | -0.0600202319583616 |
| 158 | 25.286 | 24.4400991368616 | 0.845900863138393 |
| 159 | 27.66 | 28.4160096343778 | -0.75600963437779 |
| 160 | 25.951 | 26.4627628012792 | -0.511762801279165 |
| 161 | 26.398 | 27.7525490532757 | -1.35454905327566 |
| 162 | 25.565 | 26.5563346306684 | -0.991334630668415 |
| 163 | 28.865 | 27.3339766862602 | 1.53102331373978 |
| 164 | 30 | 27.815039980637 | 2.184960019363 |
| 165 | 29.261 | 28.7229983844152 | 0.538001615584797 |
| 166 | 29.012 | 28.7411658882835 | 0.270834111716532 |
| 167 | 26.992 | 26.7819620029467 | 0.210037997053302 |
| 168 | 27.897 | 27.721435080714 | 0.175564919286007 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 169 | 27.3002005770726 | 25.8090155246583 | 28.791385629487 |
| 170 | 25.9282169261304 | 24.2631625007564 | 27.5932713515043 |
| 171 | 29.047791323787 | 27.2165376416753 | 30.8790450058988 |
| 172 | 27.5600131405018 | 25.5680772844787 | 29.5519489965249 |
| 173 | 28.8879323033001 | 26.7393779926436 | 31.0364866139567 |
| 174 | 28.50748704544 | 26.2053476643785 | 30.8096264265015 |
| 175 | 30.5694299629726 | 28.1159807717143 | 33.022879154231 |
| 176 | 30.5513345891396 | 27.9482765017755 | 33.1543926765038 |
| 177 | 29.9424332526345 | 27.1910217396567 | 32.6938447656122 |
| 178 | 29.6326642961987 | 26.7338026533558 | 32.5315259390417 |
| 179 | 27.5306544616 | 24.4849630613453 | 30.5763458618548 |
| 180 | 28.361293553892 | 25.1691623966461 | 31.5534247111379 |
