| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.129014448423179 |
| gamma | 2.56496888259109e-14 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 101.63 | 113.672174302484 | -12.0421743024838 |
| 14 | 100 | 98.385400054189 | 1.61459994581089 |
| 15 | 97.98 | 96.6620992181513 | 1.31790078184866 |
| 16 | 96.56 | 95.446231988679 | 1.113768011321 |
| 17 | 94.32 | 93.276115115031 | 1.04388488496906 |
| 18 | 91.79 | 90.8184727040291 | 0.971527295970887 |
| 19 | 89.61 | 87.6765461835445 | 1.93345381645551 |
| 20 | 86.83 | 87.4766585208546 | -0.646658520854558 |
| 21 | 83.94 | 84.5226792203938 | -0.582679220393757 |
| 22 | 81.41 | 80.7760065854546 | 0.63399341454543 |
| 23 | 80.47 | 78.3096429549786 | 2.16035704502141 |
| 24 | 79.24 | 78.7732200401001 | 0.466779959899881 |
| 25 | 78.23 | 77.7054069122023 | 0.524593087797655 |
| 26 | 74.6 | 76.277301457744 | -1.67730145774398 |
| 27 | 70.14 | 72.1979065027617 | -2.05790650276172 |
| 28 | 65.15 | 67.9223532678424 | -2.77235326784243 |
| 29 | 59.92 | 61.9451427862315 | -2.02514278623153 |
| 30 | 55.67 | 56.2470571238373 | -0.577057123837342 |
| 31 | 52.2 | 51.5168832339972 | 0.683116766002762 |
| 32 | 49.97 | 49.1679465061719 | 0.802053493828105 |
| 33 | 47.83 | 46.9807651615694 | 0.849234838430561 |
| 34 | 44.66 | 44.5122123901705 | 0.147787609829479 |
| 35 | 40.91 | 41.372090749097 | -0.462090749097008 |
| 36 | 36.28 | 38.1410288239702 | -1.86102882397022 |
| 37 | 32.2 | 33.265134134704 | -1.06513413470397 |
| 38 | 30.1 | 28.8050072876653 | 1.29499271233467 |
| 39 | 28.55 | 26.7750628933280 | 1.77493710667197 |
| 40 | 27.36 | 25.6230522542151 | 1.73694774578493 |
| 41 | 26.33 | 24.4026278157112 | 1.92737218428882 |
| 42 | 25.38 | 23.5349644387672 | 1.84503556123281 |
| 43 | 24.69 | 22.6446108626465 | 2.04538913735349 |
| 44 | 24.01 | 22.6905916963092 | 1.31940830369079 |
| 45 | 23.05 | 22.1518803387645 | 0.898119661235519 |
| 46 | 22.15 | 21.0989418428601 | 1.05105815713993 |
| 47 | 21.26 | 20.3371538979161 | 0.922846102083863 |
| 48 | 20.81 | 19.8603253813924 | 0.94967461860763 |
| 49 | 20.52 | 19.5507445037173 | 0.969255496282724 |
| 50 | 20.32 | 19.2556408903534 | 1.06435910964662 |
| 51 | 20.26 | 19.1319156593876 | 1.12808434061241 |
| 52 | 20.02 | 19.3459619346969 | 0.674038065303144 |
| 53 | 19.76 | 19.0086983719909 | 0.751301628009081 |
| 54 | 19.15 | 18.7729283105054 | 0.377071689494571 |
| 55 | 18.63 | 18.0617094891898 | 0.568290510810204 |
| 56 | 18.73 | 17.9749106448497 | 0.755089355150297 |
| 57 | 18.48 | 18.1555474303080 | 0.324452569692035 |
| 58 | 18.53 | 17.7767523741009 | 0.753247625899107 |
| 59 | 18.37 | 17.9155390737877 | 0.454460926212253 |
| 60 | 16.8 | 18.0712783598503 | -1.27127835985025 |
| 61 | 16.94 | 16.3476916800632 | 0.592308319936777 |
| 62 | 17.21 | 16.4620771127601 | 0.74792288723987 |
| 63 | 15.26 | 16.7785493403617 | -1.51854934036171 |
| 64 | 14.99 | 14.7298204384497 | 0.260179561550283 |
| 65 | 15.8 | 14.3545490858381 | 1.44545091416191 |
| 66 | 4.71 | 15.2890253348108 | -10.5790253348108 |
| 67 | 4.65 | 2.88741574822219 | 1.76258425177781 |
| 68 | 4.5 | 3.13781223550201 | 1.36218776449799 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 69 | 3.15453720120978 | -1.73856607783734 | 8.04764048025691 |
| 70 | 1.78273530557923 | -5.5728598082169 | 9.13833041937534 |
| 71 | 0.426634442942795 | -9.11455849971161 | 9.9678273855972 |
| 72 | -0.924958824678932 | -12.6951024502224 | 10.8451848008645 |
| 73 | -2.30107192827578 | -16.3293307291427 | 11.7271868725911 |
| 74 | -3.68076902624497 | -19.9249155986382 | 12.5633775461482 |
| 75 | -5.05472174846452 | -23.5083158472719 | 13.3988723503428 |
| 76 | -6.47285116523605 | -27.3105614833601 | 14.3648591528880 |
| 77 | -7.83840903211632 | -30.9294481546044 | 15.2526300903717 |
| 78 | -9.16146505824447 | -34.4506812516890 | 16.1277511352 |
| 79 | -10.3769578920506 | -37.6615653076719 | 16.9076495235708 |
| 80 | -11.7782884699307 | -41.4209308812682 | 17.8643539414067 |
