| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.136416350245047 |
| gamma | 0.0670226125538515 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 6.88 | 6.84344818376068 | 0.0365518162393181 |
| 14 | 6.88 | 6.88237699963193 | -0.00237699963193005 |
| 15 | 6.91 | 6.91205273801761 | -0.00205273801760697 |
| 16 | 6.91 | 6.9109393776559 | -0.000939377655903684 |
| 17 | 6.91 | 6.90997789785125 | 2.21021487512019e-05 |
| 18 | 6.91 | 6.90956424627905 | 0.000435753720950949 |
| 19 | 6.99 | 6.96587369021127 | 0.0241263097887323 |
| 20 | 6.99 | 7.00041491333753 | -0.0104149133375273 |
| 21 | 6.99 | 6.99732748220524 | -0.00732748220523671 |
| 22 | 7.02 | 7.00716122715965 | 0.012838772840353 |
| 23 | 7.02 | 7.03099597902548 | -0.010995979025485 |
| 24 | 7.05 | 7.04949594769946 | 0.000504052300542845 |
| 25 | 7.05 | 7.0562313753413 | -0.00623137534129636 |
| 26 | 7.05 | 7.0520479805269 | -0.00204798052689714 |
| 27 | 7.05 | 7.08176860249804 | -0.0317686024980439 |
| 28 | 7.1 | 7.04660151235954 | 0.0533984876404574 |
| 29 | 7.1 | 7.10305260581872 | -0.00305260581872435 |
| 30 | 7.1 | 7.10221951380753 | -0.00221951380753183 |
| 31 | 7.1 | 7.15816673583459 | -0.0581667358345914 |
| 32 | 7.12 | 7.10148184202637 | 0.0185181579736327 |
| 33 | 7.13 | 7.12234135488372 | 0.00765864511627523 |
| 34 | 7.18 | 7.14421945263164 | 0.0357805473683568 |
| 35 | 7.24 | 7.19118383764674 | 0.0488161623532637 |
| 36 | 7.24 | 7.27784316034794 | -0.0378431603479381 |
| 37 | 7.24 | 7.2493474011982 | -0.00934740119820088 |
| 38 | 7.27 | 7.24473892950913 | 0.025261070490866 |
| 39 | 7.27 | 7.30818495254878 | -0.0381849525487796 |
| 40 | 7.27 | 7.27214256735446 | -0.00214256735446217 |
| 41 | 7.27 | 7.27101695280248 | -0.00101695280247771 |
| 42 | 7.3 | 7.27046155714613 | 0.0295384428538732 |
| 43 | 7.3 | 7.36074108371217 | -0.0607410837121751 |
| 44 | 7.57 | 7.30370500676223 | 0.26629499323777 |
| 45 | 7.76 | 7.60836533116159 | 0.15163466883841 |
| 46 | 7.94 | 7.82988411258848 | 0.110115887411524 |
| 47 | 7.94 | 8.01698905338648 | -0.076989053386483 |
| 48 | 7.96 | 8.02648648771468 | -0.0664864877146778 |
| 49 | 7.96 | 8.0140833103867 | -0.0540833103866953 |
| 50 | 7.98 | 8.00337212924124 | -0.0233721292412401 |
| 51 | 7.99 | 8.05018378867269 | -0.0601837886726937 |
| 52 | 8 | 8.02114040254471 | -0.0211404025447131 |
| 53 | 8 | 8.02742317265352 | -0.0274231726535188 |
| 54 | 8.04 | 8.02326553686132 | 0.016734463138679 |
| 55 | 8.04 | 8.12179839124601 | -0.081798391246009 |
| 56 | 8.04 | 8.06188975325631 | -0.0218897532563123 |
| 57 | 8.04 | 8.05723696634265 | -0.0172369663426544 |
| 58 | 8.04 | 8.06571889563823 | -0.0257188956382262 |
| 59 | 8.07 | 8.05429375109626 | 0.0157062489037418 |
| 60 | 8.07 | 8.10643634024775 | -0.0364363402477466 |
| 61 | 8.07 | 8.07813249436153 | -0.0081324943615293 |
| 62 | 8.07 | 8.07368975582901 | -0.00368975582900788 |
| 63 | 8.11 | 8.10318641280552 | 0.00681358719448077 |
| 64 | 8.11 | 8.11328256416933 | -0.00328256416933215 |
| 65 | 8.12 | 8.11200143541257 | 0.00799856458742632 |
| 66 | 8.11 | 8.12267590373412 | -0.0126759037341238 |
| 67 | 8.13 | 8.16719670321066 | -0.0371967032106557 |
| 68 | 8.15 | 8.13337246471751 | 0.0166275352824883 |
| 69 | 8.16 | 8.15397406572765 | 0.00602593427234765 |
| 70 | 8.2 | 8.17562943502124 | 0.0243705649787636 |
| 71 | 8.2 | 8.21103731188238 | -0.011037311882383 |
| 72 | 8.2 | 8.22953164207887 | -0.0295316420788687 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 8.20216970991639 | 8.10003162785707 | 8.30430779197572 |
| 74 | 8.20100608649946 | 8.04639446159475 | 8.35561771140416 |
| 75 | 8.22984246308252 | 8.02783757653668 | 8.43184734962835 |
| 76 | 8.22784550633224 | 7.97980494382973 | 8.47588606883476 |
| 77 | 8.22501521624864 | 7.93099571371212 | 8.51903471878516 |
| 78 | 8.22176825949836 | 7.88123296058528 | 8.56230355841145 |
| 79 | 8.27477130274809 | 7.88687587819375 | 8.66266672730244 |
| 80 | 8.27902434599782 | 7.84275441399861 | 8.71529427799704 |
| 81 | 8.28161072258088 | 7.79585528691735 | 8.76736615824441 |
| 82 | 8.29503043249728 | 7.75862405346917 | 8.83143681152539 |
| 83 | 8.30053347574701 | 7.71228173706332 | 8.8887852144307 |
| 84 | 8.32603651899674 | 7.68473196496228 | 8.96734107303119 |
