| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.999955362702845 |
| beta | FALSE |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 2 | 3.863 | 3.875 | -0.012 |
| 3 | 3.876 | 3.86300053564757 | 0.012999464352434 |
| 4 | 3.878 | 3.87599941973905 | 0.00200058026095329 |
| 5 | 3.881 | 3.8779999106995 | 0.00300008930049511 |
| 6 | 3.883 | 3.88099986608412 | 0.00200013391587772 |
| 7 | 3.884 | 3.88299991071943 | 0.00100008928057171 |
| 8 | 3.885 | 3.88399995535872 | 0.00100004464128212 |
| 9 | 3.895 | 3.88499995536071 | 0.0100000446392903 |
| 10 | 3.903 | 3.89499955362504 | 0.00800044637496411 |
| 11 | 3.911 | 3.9029996428817 | 0.00800035711830205 |
| 12 | 3.929 | 3.91099964288568 | 0.0180003571143179 |
| 13 | 3.946 | 3.92899919651271 | 0.0170008034872899 |
| 14 | 3.965 | 3.94599924113008 | 0.0190007588699168 |
| 15 | 3.992 | 3.96499915185748 | 0.0270008481425199 |
| 16 | 4.01 | 3.99199879475512 | 0.0180012052448819 |
| 17 | 4.015 | 4.00999919647485 | 0.00500080352514765 |
| 18 | 4.02 | 4.01499977677765 | 0.0050002232223525 |
| 19 | 4.037 | 4.01999977680355 | 0.0170002231964501 |
| 20 | 4.059 | 4.03699924115599 | 0.0220007588440145 |
| 21 | 4.083 | 4.05899901794559 | 0.0240009820544103 |
| 22 | 4.102 | 4.08299892866103 | 0.0190010713389679 |
| 23 | 4.126 | 4.10199915184353 | 0.0240008481564677 |
| 24 | 4.145 | 4.12599892866701 | 0.0190010713329904 |
| 25 | 4.162 | 4.14499915184353 | 0.0170008481564681 |
| 26 | 4.169 | 4.16199924112809 | 0.00700075887191076 |
| 27 | 4.178 | 4.16899968750505 | 0.0090003124949547 |
| 28 | 4.174 | 4.17799959825038 | -0.00399959825037666 |
| 29 | 4.168 | 4.17400017853126 | -0.00600017853125578 |
| 30 | 4.17 | 4.16800026783175 | 0.00199973216824745 |
| 31 | 4.159 | 4.16999991073736 | -0.0109999107373611 |
| 32 | 4.159 | 4.15900049100628 | -4.91006284519813e-07 |
| 33 | 4.143 | 4.15900000002192 | -0.0160000000219176 |
| 34 | 4.159 | 4.14300071419675 | 0.0159992858032449 |
| 35 | 4.167 | 4.15899928583513 | 0.0080007141648748 |
| 36 | 4.176 | 4.16699964286974 | 0.00900035713025638 |
| 37 | 4.185 | 4.17599959824838 | 0.00900040175161543 |
| 38 | 4.195 | 4.18499959824639 | 0.0100004017536079 |
| 39 | 4.21 | 4.1949995536091 | 0.0150004463909044 |
| 40 | 4.226 | 4.20999933042062 | 0.0160006695793831 |
| 41 | 4.25 | 4.22599928577336 | 0.0240007142266423 |
| 42 | 4.259 | 4.24999892867299 | 0.00900107132701322 |
| 43 | 4.27 | 4.2589995982165 | 0.0110004017834946 |
| 44 | 4.277 | 4.2699995089718 | 0.00700049102820355 |
| 45 | 4.286 | 4.276999687517 | 0.00900031248299804 |
| 46 | 4.303 | 4.28599959825038 | 0.0170004017496233 |
| 47 | 4.32 | 4.30299924114802 | 0.0170007588519852 |
| 48 | 4.336 | 4.31999924113208 | 0.016000758867925 |
| 49 | 4.352 | 4.33599928576937 | 0.0160007142306284 |
| 50 | 4.371 | 4.35199928577136 | 0.0190007142286364 |
| 51 | 4.392 | 4.37099915185947 | 0.0210008481405275 |
| 52 | 4.415 | 4.3919990625789 | 0.0230009374210987 |
| 53 | 4.442 | 4.41499897330032 | 0.0270010266996783 |
| 54 | 4.457 | 4.44199879474715 | 0.0150012052528519 |
| 55 | 4.472 | 4.45699933038674 | 0.015000669613257 |
| 56 | 4.474 | 4.47199933041065 | 0.00200066958934642 |
| 57 | 4.461 | 4.47399991069552 | -0.012999910695517 |
| 58 | 4.453 | 4.46100058028088 | -0.00800058028087669 |
| 59 | 4.446 | 4.45300035712428 | -0.00700035712428004 |
| 60 | 4.45 | 4.44600031247702 | 0.0039996875229793 |
| 61 | 4.459 | 4.44999982146476 | 0.00900017853524027 |
| 62 | 4.474 | 4.45899959825636 | 0.0150004017436443 |
| 63 | 4.492 | 4.47399933042261 | 0.0180006695773898 |
| 64 | 4.509 | 4.49199919649876 | 0.0170008035012374 |
| 65 | 4.526 | 4.50899924113008 | 0.0170007588699175 |
| 66 | 4.541 | 4.52599924113207 | 0.0150007588679264 |
| 67 | 4.55 | 4.54099933040667 | 0.00900066959333046 |
| 68 | 4.562 | 4.54999959823444 | 0.0120004017655635 |
| 69 | 4.555 | 4.5619994643345 | -0.00699946433450105 |
| 70 | 4.554 | 4.55500031243717 | -0.00100031243716892 |
| 71 | 4.551 | 4.55400004465124 | -0.00300004465124371 |
| 72 | 4.553 | 4.55100013391388 | 0.00199986608611535 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 4.55299991073138 | 4.53304510876122 | 4.57295471270155 |
| 74 | 4.55299991073138 | 4.52478018898378 | 4.58121963247898 |
| 75 | 4.55299991073138 | 4.51843820838102 | 4.58756161308175 |
| 76 | 4.55299991073138 | 4.51309164287623 | 4.59290817858654 |
| 77 | 4.55299991073138 | 4.50838121042487 | 4.59761861103789 |
| 78 | 4.55299991073138 | 4.50412264617121 | 4.60187717529156 |
| 79 | 4.55299991073138 | 4.50020648723253 | 4.60579333423023 |
| 80 | 4.55299991073138 | 4.49656141200425 | 4.60943840945851 |
| 81 | 4.55299991073138 | 4.49313788009079 | 4.61286194137198 |
| 82 | 4.55299991073138 | 4.48989982129992 | 4.61610000016285 |
| 83 | 4.55299991073138 | 4.48682000547229 | 4.61917981599047 |
| 84 | 4.55299991073138 | 4.48387727743414 | 4.62212254402863 |
