| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.638240333271957 |
| beta | 0.0182302317487774 |
| gamma | 0.715496229916317 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 0 | 5.72088675213675 | -5.72088675213675 |
| 14 | -1 | 0.960335547306137 | -1.96033554730614 |
| 15 | -1 | -0.67288923505681 | -0.32711076494319 |
| 16 | -4 | -4.30919677648714 | 0.309196776487145 |
| 17 | 1 | 0.505877073781313 | 0.494122926218687 |
| 18 | -1 | -1.6386058285902 | 0.638605828590198 |
| 19 | 0 | -1.18344356448 | 1.18344356448 |
| 20 | -1 | -0.283440864462724 | -0.716559135537276 |
| 21 | 6 | -0.437767212685778 | 6.43776721268578 |
| 22 | 0 | 3.84065789306667 | -3.84065789306667 |
| 23 | -3 | -6.52737622129471 | 3.52737622129471 |
| 24 | -3 | -1.02679181508847 | -1.97320818491153 |
| 25 | 4 | -6.70730874974149 | 10.7073087497415 |
| 26 | 1 | 0.159127471455882 | 0.840872528544118 |
| 27 | 0 | 0.93755769799308 | -0.93755769799308 |
| 28 | -4 | -2.72969312229872 | -1.27030687770128 |
| 29 | -2 | 1.30073390307596 | -3.30073390307596 |
| 30 | 3 | -3.09694598994354 | 6.09694598994354 |
| 31 | 2 | 1.17791898710799 | 0.822081012892012 |
| 32 | 5 | 1.54623402972579 | 3.45376597027421 |
| 33 | 6 | 6.14465022384395 | -0.144650223843946 |
| 34 | 6 | 3.72414278743681 | 2.27585721256319 |
| 35 | 3 | -0.599117107634223 | 3.59911710763422 |
| 36 | 4 | 3.75817419730335 | 0.241825802696648 |
| 37 | 7 | 3.03402683006622 | 3.96597316993378 |
| 38 | 5 | 3.22607807330117 | 1.77392192669883 |
| 39 | 6 | 4.33256231749756 | 1.66743768250244 |
| 40 | 1 | 2.4649754231565 | -1.4649754231565 |
| 41 | 3 | 6.06651992538445 | -3.06651992538445 |
| 42 | 6 | 4.47443743143614 | 1.52556256856386 |
| 43 | 0 | 4.63677700551988 | -4.63677700551988 |
| 44 | 3 | 2.30914230357941 | 0.690857696420587 |
| 45 | 4 | 4.28754052132147 | -0.287540521321473 |
| 46 | 7 | 2.4754779025403 | 4.52452209745969 |
| 47 | 6 | 0.0292046175397698 | 5.97079538246023 |
| 48 | 6 | 5.15808675181468 | 0.841913248185317 |
| 49 | 6 | 5.91475481207797 | 0.0852451879220277 |
| 50 | 6 | 3.1512959272968 | 2.8487040727032 |
| 51 | 2 | 5.01740517737731 | -3.01740517737731 |
| 52 | 2 | -0.604315501454888 | 2.60431550145489 |
| 53 | 2 | 5.27393024985562 | -3.27393024985562 |
| 54 | 3 | 4.82971652761799 | -1.82971652761799 |
| 55 | -1 | 1.30813885110121 | -2.30813885110121 |
| 56 | -4 | 1.925424728845 | -5.925424728845 |
| 57 | 4 | -0.569486708934848 | 4.56948670893485 |
| 58 | 5 | 2.0231722499281 | 2.9768277500719 |
| 59 | 3 | -0.995332026723867 | 3.99533202672387 |
| 60 | -1 | 1.56341667442649 | -2.56341667442649 |
| 61 | -4 | -0.0705754056961404 | -3.92942459430386 |
| 62 | 0 | -4.74916998595914 | 4.74916998595914 |
| 63 | -1 | -3.23446319665223 | 2.23446319665223 |
| 64 | -1 | -4.03399599011999 | 3.03399599011999 |
| 65 | 3 | 0.617097687477339 | 2.38290231252266 |
| 66 | 2 | 4.2430583477622 | -2.2430583477622 |
| 67 | -4 | 0.414964940406587 | -4.41496494040659 |
| 68 | -3 | -1.19208451864613 | -1.80791548135387 |
| 69 | -1 | 1.76196727511312 | -2.76196727511312 |
| 70 | 3 | -0.71762273389386 | 3.71762273389386 |
| 71 | -2 | -2.97185432993584 | 0.971854329935836 |
| 72 | -10 | -4.04780113922337 | -5.95219886077663 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | -8.24499321728457 | -14.9279988535843 | -1.5619875809848 |
| 74 | -8.17037156359181 | -16.1406460739383 | -0.200097053245278 |
| 75 | -10.3939836408381 | -19.5082287306958 | -1.27973855098053 |
| 76 | -12.4949965054725 | -22.6590124680847 | -2.33098054286034 |
| 77 | -10.066455122615 | -21.2132322062066 | 1.0803219609767 |
| 78 | -9.30406356002588 | -21.3834597757901 | 2.77533265573833 |
| 79 | -12.3819511481073 | -25.3551093617775 | 0.591207065562832 |
| 80 | -10.5642532086737 | -24.4002857122515 | 3.27177929490404 |
| 81 | -6.75008972699769 | -21.4239709428562 | 7.92379148886081 |
| 82 | -5.80441089961802 | -21.2955667738061 | 9.68674497457003 |
| 83 | -11.2000352347068 | -27.4913595938292 | 5.09128912441571 |
| 84 | -14.7577199594385 | -31.8348655023752 | 2.31942558349814 |
