| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.81825522940517 |
| beta | 0.111590999872759 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 7.84 | 7.62 | 0.22 |
| 4 | 7.79 | 7.77010433269323 | 0.0198956673067672 |
| 5 | 7.83 | 7.75828892050782 | 0.0717110794921831 |
| 6 | 7.94 | 7.79541967318111 | 0.144580326818891 |
| 7 | 8.02 | 7.9053776865021 | 0.114622313497895 |
| 8 | 8.06 | 8.00128855294466 | 0.0587114470553356 |
| 9 | 8.12 | 8.05681099802679 | 0.0631890019732086 |
| 10 | 8.13 | 8.12176700849994 | 0.00823299150005674 |
| 11 | 7.97 | 8.14250672980484 | -0.172506729804843 |
| 12 | 8.01 | 7.99960365343076 | 0.0103963465692374 |
| 13 | 8 | 8.00731126533928 | -0.00731126533928439 |
| 14 | 7.9 | 7.999861940156 | -0.0998619401559973 |
| 15 | 7.99 | 7.90756415563212 | 0.0824358443678852 |
| 16 | 8.02 | 7.97195969689233 | 0.0480403031076708 |
| 17 | 8.08 | 8.01259746284328 | 0.067402537156724 |
| 18 | 8.02 | 8.07523299827951 | -0.0552329982795126 |
| 19 | 8.07 | 8.03247804492404 | 0.037521955075956 |
| 20 | 8.11 | 8.06904644389115 | 0.0409535561088497 |
| 21 | 8.19 | 8.11216223424792 | 0.0778377657520775 |
| 22 | 8.16 | 8.19256608212931 | -0.0325660821293088 |
| 23 | 8.08 | 8.1796577978074 | -0.0996577978073958 |
| 24 | 8.22 | 8.10275162081664 | 0.117248379183366 |
| 25 | 8.15 | 8.21403599746846 | -0.0640359974684639 |
| 26 | 8.19 | 8.17113636316071 | 0.0188636368392867 |
| 27 | 8.31 | 8.19779222529668 | 0.112207774703325 |
| 28 | 8.3 | 8.31107309921603 | -0.0110730992160253 |
| 29 | 8.34 | 8.32246766957052 | 0.0175323304294839 |
| 30 | 8.31 | 8.35886965799674 | -0.048869657996736 |
| 31 | 8.38 | 8.33647558762727 | 0.0435244123727347 |
| 32 | 8.34 | 8.39365765908065 | -0.0536576590806455 |
| 33 | 8.44 | 8.36642051584773 | 0.073579484152269 |
| 34 | 8.64 | 8.45001436719248 | 0.189985632807524 |
| 35 | 8.6 | 8.6462057311902 | -0.0462057311902004 |
| 36 | 8.61 | 8.64491323487487 | -0.0349132348748711 |
| 37 | 8.54 | 8.64967295806715 | -0.109672958067147 |
| 38 | 8.69 | 8.58324591786888 | 0.106754082131124 |
| 39 | 8.73 | 8.70365914171123 | 0.0263408582887656 |
| 40 | 8.91 | 8.76067900627327 | 0.149320993726729 |
| 41 | 9.01 | 8.93196249764249 | 0.0780375023575051 |
| 42 | 9.08 | 9.05204349746346 | 0.0279565025365418 |
| 43 | 8.94 | 9.13369816327482 | -0.193698163274821 |
| 44 | 9.03 | 9.01629617602608 | 0.013703823973918 |
| 45 | 9.02 | 9.06985324449244 | -0.0498532444924429 |
| 46 | 8.96 | 9.06685231359406 | -0.106852313594056 |
| 47 | 9.03 | 9.0074549202114 | 0.0225450797886015 |
| 48 | 8.94 | 9.05599621004936 | -0.115996210049362 |
| 49 | 8.95 | 8.98058376042171 | -0.0305837604217096 |
| 50 | 8.95 | 8.97226789366524 | -0.0222678936652372 |
| 51 | 8.99 | 8.96872324879795 | 0.021276751202052 |
| 52 | 8.93 | 9.00275201573902 | -0.0727520157390167 |
| 53 | 8.98 | 8.95319827173724 | 0.0268017282627628 |
| 54 | 8.95 | 8.98755216301388 | -0.0375521630138849 |
| 55 | 9.02 | 8.96581926125024 | 0.054180738749757 |
| 56 | 8.92 | 9.02409452494067 | -0.10409452494067 |
| 57 | 9.1 | 8.94335536376938 | 0.156644636230615 |
| 58 | 9.06 | 9.09027059381462 | -0.0302705938146186 |
| 59 | 8.97 | 9.08147745394451 | -0.111477453944509 |
| 60 | 8.89 | 8.9960573787972 | -0.106057378797198 |
| 61 | 8.99 | 8.90538821779436 | 0.0846117822056378 |
| 62 | 8.79 | 8.97846098986499 | -0.188460989864994 |
| 63 | 8.83 | 8.81088218042366 | 0.0191178195763424 |
| 64 | 8.61 | 8.8149014638822 | -0.2049014638822 |
| 65 | 8.71 | 8.61690626105205 | 0.093093738947946 |
| 66 | 8.91 | 8.67124757305673 | 0.238752426943266 |
| 67 | 8.91 | 8.86657533303498 | 0.04342466696502 |
| 68 | 8.89 | 8.90604023479491 | -0.0160402347949073 |
| 69 | 8.98 | 8.89538303718063 | 0.0846169628193678 |
| 70 | 9 | 8.97481548592953 | 0.0251845140704692 |
| 71 | 8.99 | 9.00791661863816 | -0.0179166186381643 |
| 72 | 8.88 | 9.00411405911448 | -0.124114059114476 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 73 | 8.90208204386222 | 8.71649069815177 | 9.08767338957268 |
| 74 | 8.90160700652309 | 8.6507283652844 | 9.15248564776178 |
| 75 | 8.90113196918396 | 8.58897087529632 | 9.21329306307159 |
| 76 | 8.90065693184482 | 8.52845823278938 | 9.27285563090027 |
| 77 | 8.90018189450569 | 8.46800552077851 | 9.33235826823288 |
| 78 | 8.89970685716656 | 8.40700761413968 | 9.39240610019343 |
| 79 | 8.89923181982742 | 8.34512478499907 | 9.45333885465578 |
| 80 | 8.89875678248829 | 8.28215564709935 | 9.51535791787723 |
| 81 | 8.89828174514916 | 8.21797742891774 | 9.57858606138058 |
| 82 | 8.89780670781002 | 8.15251483890182 | 9.64309857671823 |
| 83 | 8.89733167047089 | 8.0857225663145 | 9.70894077462729 |
| 84 | 8.89685663313176 | 8.01757486759605 | 9.77613839866747 |
