| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.845253755054203 |
| beta | 0.0375954877050928 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | -6 | -7 | 1 |
| 4 | -7 | -7.12296851778997 | 0.122968517789973 |
| 5 | -12 | -7.98334352921164 | -4.01665647078836 |
| 6 | -16 | -12.4703923201527 | -3.52960767984726 |
| 7 | -18 | -16.6579242014736 | -1.34207579852644 |
| 8 | -19 | -19.0390846643552 | 0.0390846643551725 |
| 9 | -20 | -20.2515720378538 | 0.251572037853844 |
| 10 | -24 | -21.2764592734222 | -2.72354072657779 |
| 11 | -17 | -24.9026196789431 | 7.90261967894306 |
| 12 | -23 | -19.2958508079154 | -3.70414919208458 |
| 13 | -25 | -23.6174563515407 | -1.38254364845934 |
| 14 | -24 | -26.0206501865038 | 2.02065018650377 |
| 15 | -17 | -25.4830699829829 | 8.48306998298292 |
| 16 | -14 | -19.2135324963885 | 5.21353249638846 |
| 17 | -16 | -15.5419096344402 | -0.458090365559812 |
| 18 | -13 | -16.6788043644544 | 3.67880436445443 |
| 19 | -10 | -14.2020692483069 | 4.20206924830691 |
| 20 | -10 | -11.1495103141325 | 1.1495103141325 |
| 21 | -12 | -10.640609456468 | -1.35939054353204 |
| 22 | -12 | -12.2955648115937 | 0.295564811593652 |
| 23 | -20 | -12.5422705604126 | -7.45772943958739 |
| 24 | -16 | -19.5794670804157 | 3.57946708041567 |
| 25 | -12 | -17.1736844683703 | 5.17368446837025 |
| 26 | -14 | -13.2559756893573 | -0.74402431064267 |
| 27 | -7 | -14.3638758786632 | 7.36387587866321 |
| 28 | -9 | -8.38453574887209 | -0.615464251127905 |
| 29 | -9 | -9.16932088168812 | 0.169320881688119 |
| 30 | -4 | -9.28538280130062 | 5.28538280130062 |
| 31 | -3 | -4.90911671969702 | 1.90911671969702 |
| 32 | 1 | -3.32598483140385 | 4.32598483140385 |
| 33 | -1 | 0.437483869432859 | -1.43748386943286 |
| 34 | -2 | -0.716320961443765 | -1.28367903855624 |
| 35 | 1 | -1.78091408371934 | 2.78091408371934 |
| 36 | -3 | 0.678476522372228 | -3.67847652237223 |
| 37 | -2 | -2.438850659974 | 0.438850659973996 |
| 38 | 0 | -2.06204590412053 | 2.06204590412053 |
| 39 | -2 | -0.24770214084215 | -1.75229785915785 |
| 40 | -4 | -1.71313080980646 | -2.28686919019354 |
| 41 | -4 | -3.70307940884003 | -0.296920591159965 |
| 42 | -7 | -4.02045194370846 | -2.97954805629154 |
| 43 | -9 | -6.70000868207138 | -2.29999131792862 |
| 44 | -13 | -8.87825603212256 | -4.12174396787744 |
| 45 | -8 | -12.7273263055403 | 4.72732630554029 |
| 46 | -13 | -8.94646301609916 | -4.05353698390084 |
| 47 | -15 | -12.7164695869662 | -2.28353041303381 |
| 48 | -15 | -15.0629368637547 | 0.0629368637546559 |
| 49 | -15 | -15.4240438732414 | 0.424043873241425 |
| 50 | -10 | -15.4664486764771 | 5.46644867647714 |
| 51 | -12 | -11.0730305707221 | -0.926969429277884 |
| 52 | -11 | -12.1131301080934 | 1.11313010809344 |
| 53 | -11 | -11.3934551059534 | 0.393455105953382 |
| 54 | -17 | -11.2695849927858 | -5.7304150072142 |
| 55 | -18 | -16.5040386528262 | -1.49596134717379 |
| 56 | -19 | -18.2068427076406 | -0.7931572923594 |
| 57 | -22 | -19.3408037320841 | -2.65919626791595 |
| 58 | -24 | -22.1365444211498 | -1.86345557885021 |
| 59 | -24 | -24.318898687685 | 0.318898687685 |
| 60 | -20 | -24.6464759400852 | 4.64647594008516 |
| 61 | -25 | -21.1684978249468 | -3.8315021750532 |
| 62 | -22 | -24.9783189776123 | 2.97831897761229 |
| 63 | -17 | -22.9374690218861 | 5.93746902188615 |
| 64 | -9 | -18.2067071088951 | 9.20670710889506 |
| 65 | -11 | -10.4200412001834 | -0.579958799816573 |
| 66 | -13 | -10.9240211727734 | -2.07597882722655 |
| 67 | -11 | -12.7584875799209 | 1.75848757992092 |
| 68 | -9 | -11.2959761192762 | 2.29597611927615 |
| 69 | -7 | -9.30618954976814 | 2.30618954976814 |
| 70 | -3 | -7.23448457750264 | 4.23448457750264 |
| 71 | -3 | -3.39831869664278 | 0.398318696642783 |
| 72 | -6 | -2.79202876872756 | -3.20797123127244 |
| 73 | -4 | -5.33591097870794 | 1.33591097870794 |
| 74 | -8 | -3.99660747359256 | -4.00339252640744 |
| 75 | -1 | -7.29758902095186 | 6.29758902095186 |
| 76 | -2 | -1.69150416901434 | -0.308495830985662 |
| 77 | -2 | -1.67904064072947 | -0.320959359270533 |
| 78 | -1 | -1.68731131547561 | 0.687311315475615 |
| 79 | 1 | -0.821496224827252 | 1.82149622482725 |
| 80 | 2 | 1.06087592942432 | 0.939124070575683 |
| 81 | 2 | 2.2272629354197 | -0.227262935419701 |
| 82 | -1 | 2.40053504519666 | -3.40053504519666 |
| 83 | 1 | -0.216474286474207 | 1.21647428647421 |
| 84 | -1 | 1.10771764453768 | -2.10771764453768 |
| 85 | -8 | -0.444854612888752 | -7.55514538711125 |
| 86 | 1 | -6.84197097384614 | 7.84197097384614 |
| 87 | 2 | 0.0245831002729908 | 1.97541689972701 |
| 88 | -2 | 1.99518457327292 | -3.99518457327292 |
| 89 | -2 | -1.20784515401912 | -0.792154845980878 |
| 90 | -2 | -1.72867485732807 | -0.271325142671931 |
| 91 | -2 | -1.8178933945257 | -0.182106605474295 |
| 92 | -6 | -1.83748656215863 | -4.16251343784137 |
| 93 | -4 | -5.35380876780341 | 1.35380876780341 |
| 94 | -5 | -4.16441794939363 | -0.835582050606368 |
| 95 | -2 | -4.85217083994639 | 2.85217083994639 |
| 96 | -1 | -2.33220124529382 | 1.33220124529382 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 97 | -1.05465733039996 | -7.77657017374907 | 5.66725551294916 |
| 98 | -0.903161520578579 | -9.84402380923466 | 8.0377007680775 |
| 99 | -0.751665710757202 | -11.5802446175441 | 10.0769131960297 |
| 100 | -0.600169900935825 | -13.1394153446548 | 11.9390755427832 |
| 101 | -0.448674091114448 | -14.5891811518076 | 13.6918329695787 |
| 102 | -0.297178281293071 | -15.9660381008339 | 15.3716815382478 |
| 103 | -0.145682471471694 | -17.2921578127015 | 17.0007928697581 |
| 104 | 0.00581333834968323 | -18.5821005219872 | 18.5937271986866 |
| 105 | 0.15730914817106 | -19.845970562841 | 20.1605888591831 |
| 106 | 0.308804957992437 | -21.0910746018857 | 21.7086845178706 |
| 107 | 0.460300767813814 | -22.3228670456636 | 23.2434685812912 |
| 108 | 0.611796577635191 | -23.5455237727925 | 24.7691169280628 |
