| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.108679430970285 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 19.7 | 19.63 | 0.0700000000000003 |
| 4 | 19.76 | 19.8676075601679 | -0.107607560167917 |
| 5 | 19.9 | 19.9159128317608 | -0.0159128317607724 |
| 6 | 19.97 | 20.0541834342599 | -0.0841834342598844 |
| 7 | 20.1 | 20.1150344265274 | -0.015034426527393 |
| 8 | 20.26 | 20.2434004936074 | 0.0165995063925664 |
| 9 | 20.44 | 20.4052045185166 | 0.0347954814834353 |
| 10 | 20.43 | 20.5889860716445 | -0.158986071644524 |
| 11 | 20.57 | 20.561707555846 | 0.0082924441540051 |
| 12 | 20.6 | 20.702608773958 | -0.102608773958003 |
| 13 | 20.69 | 20.7214573107917 | -0.0314573107916907 |
| 14 | 20.93 | 20.808038548155 | 0.121961451845003 |
| 15 | 20.98 | 21.0612932493418 | -0.0812932493418188 |
| 16 | 21.11 | 21.1024583452616 | 0.00754165473837531 |
| 17 | 21.14 | 21.2332779680072 | -0.0932779680071647 |
| 18 | 21.16 | 21.2531405715221 | -0.0931405715220812 |
| 19 | 21.32 | 21.2630181072088 | 0.0569818927911854 |
| 20 | 21.32 | 21.429210866893 | -0.109210866892973 |
| 21 | 21.48 | 21.4173418920233 | 0.0626581079767305 |
| 22 | 21.58 | 21.5841515395439 | -0.00415153954385872 |
| 23 | 21.74 | 21.6837003525886 | 0.0562996474114215 |
| 24 | 21.75 | 21.8498189662331 | -0.0998189662330802 |
| 25 | 21.81 | 21.8489706977828 | -0.0389706977828297 |
| 26 | 21.89 | 21.9047353845233 | -0.0147353845232736 |
| 27 | 22.21 | 21.9831339513182 | 0.226866048681842 |
| 28 | 22.37 | 22.3277896243954 | 0.0422103756046219 |
| 29 | 22.47 | 22.4923770239971 | -0.0223770239971302 |
| 30 | 22.51 | 22.5899451017623 | -0.0799451017623092 |
| 31 | 22.55 | 22.6212567135939 | -0.0712567135939253 |
| 32 | 22.61 | 22.6535125745077 | -0.0435125745077229 |
| 33 | 22.58 | 22.7087836526702 | -0.128783652670172 |
| 34 | 22.85 | 22.6647875185797 | 0.185212481420301 |
| 35 | 22.93 | 22.9549163056691 | -0.0249163056690556 |
| 36 | 22.98 | 23.0322084157471 | -0.0522084157470601 |
| 37 | 23.01 | 23.0765344348318 | -0.0665344348318087 |
| 38 | 23.11 | 23.0993035103144 | 0.010696489685639 |
| 39 | 23.18 | 23.2004659987268 | -0.0204659987267739 |
| 40 | 23.18 | 23.2682417656309 | -0.088241765630908 |
| 41 | 23.21 | 23.2586517007543 | -0.048651700754327 |
| 42 | 23.22 | 23.2833642616006 | -0.0633642616006149 |
| 43 | 23.12 | 23.286477869706 | -0.166477869706004 |
| 44 | 23.15 | 23.1683851495572 | -0.0183851495572149 |
| 45 | 23.16 | 23.196387061965 | -0.0363870619650299 |
| 46 | 23.21 | 23.202432536776 | 0.00756746322401014 |
| 47 | 23.21 | 23.2532549643731 | -0.0432549643730624 |
| 48 | 23.22 | 23.2485540394584 | -0.0285540394583599 |
| 49 | 23.25 | 23.2554508026981 | -0.00545080269812104 |
| 50 | 23.39 | 23.2848584125626 | 0.105141587437441 |
| 51 | 23.41 | 23.4362851404566 | -0.0262851404565723 |
| 52 | 23.45 | 23.4534284863488 | -0.00342848634877768 |
| 53 | 23.46 | 23.4930558804033 | -0.0330558804033032 |
| 54 | 23.44 | 23.4994633861309 | -0.0594633861308509 |
| 55 | 23.54 | 23.4730009391626 | 0.0669990608374142 |
| 56 | 23.62 | 23.5802823589699 | 0.0397176410300659 |
| 57 | 23.86 | 23.6645988495966 | 0.195401150403431 |
| 58 | 24.07 | 23.9258349354334 | 0.14416506456665 |
| 59 | 24.13 | 24.1515027126162 | -0.0215027126162504 |
| 60 | 24.12 | 24.2091658100448 | -0.0891658100447934 |
| 61 | 24.17 | 24.1894753205471 | -0.019475320547123 |
| 62 | 24.23 | 24.2373587537921 | -0.00735875379210071 |
| 63 | 24.28 | 24.2965590086173 | -0.0165590086173211 |
| 64 | 24.12 | 24.3447593849834 | -0.224759384983361 |
| 65 | 24.14 | 24.1603326629181 | -0.0203326629181397 |
| 66 | 24.17 | 24.1781229206821 | -0.00812292068208365 |
| 67 | 24.2 | 24.2072401262845 | -0.00724012628453963 |
| 68 | 24.36 | 24.2364532734798 | 0.123546726520217 |
| 69 | 24.34 | 24.4098802614162 | -0.069880261416241 |
| 70 | 24.38 | 24.3822857143695 | -0.00228571436947078 |
| 71 | 24.46 | 24.4220373042324 | 0.0379626957675683 |
| 72 | 24.6 | 24.5061630684066 | 0.0938369315934509 |
| 73 | 24.63 | 24.6563612127361 | -0.026361212736127 |
| 74 | 24.75 | 24.6834962911363 | 0.0665037088637241 |
| 75 | 24.64 | 24.810723876373 | -0.170723876373 |
| 76 | 24.69 | 24.6821697026357 | 0.00783029736426144 |
| 77 | 24.7 | 24.7330206948976 | -0.0330206948976191 |
| 78 | 24.74 | 24.7394320245659 | 0.000567975434098145 |
| 79 | 24.87 | 24.7794937518129 | 0.0905062481871184 |
| 80 | 24.92 | 24.9193299193651 | 0.000670080634886716 |
| 81 | 24.94 | 24.9694027433472 | -0.0294027433472195 |
| 82 | 24.98 | 24.9862072699313 | -0.00620726993127718 |
| 83 | 25.13 | 25.0255326673673 | 0.104467332632733 |
| 84 | 25.15 | 25.1868861176328 | -0.0368861176327755 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 25.2028773553577 | 25.0451082082489 | 25.3606465024666 |
| 86 | 25.2557547107155 | 25.0201989767167 | 25.4913104447143 |
| 87 | 25.3086320660732 | 25.0047008425006 | 25.6125632896458 |
| 88 | 25.361509421431 | 24.9925349685903 | 25.7304838742716 |
| 89 | 25.4143867767887 | 24.9815145474629 | 25.8472590061145 |
| 90 | 25.4672641321465 | 24.970604452465 | 25.9639238118279 |
| 91 | 25.5201414875042 | 24.9592426134725 | 26.0810403615359 |
| 92 | 25.5730188428619 | 24.9470983336362 | 26.1989393520877 |
| 93 | 25.6258961982197 | 24.933967273473 | 26.3178251229664 |
| 94 | 25.6787735535774 | 24.9197195406595 | 26.4378275664953 |
| 95 | 25.7316509089352 | 24.9042715852341 | 26.5590302326362 |
| 96 | 25.7845282642929 | 24.8875699164716 | 26.6814866121143 |
