| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.92852853543084 |
| beta | 1 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 7.5 | 7.43325688014239 | 0.0667431198576134 |
| 14 | 7.6 | 7.64604691568444 | -0.0460469156844354 |
| 15 | 7.7 | 7.69903709297351 | 0.000962907026494264 |
| 16 | 7.7 | 7.69656809567221 | 0.00343190432778773 |
| 17 | 7.9 | 7.92064617861872 | -0.0206461786187218 |
| 18 | 8.1 | 8.14660566968208 | -0.04660566968208 |
| 19 | 8.2 | 7.94548071586716 | 0.254519284132838 |
| 20 | 8.2 | 8.44899290291657 | -0.248992902916571 |
| 21 | 8.2 | 7.9148830408396 | 0.285116959160407 |
| 22 | 7.9 | 8.42651571563598 | -0.526515715635977 |
| 23 | 7.3 | 7.27373174719167 | 0.0262682528083253 |
| 24 | 6.9 | 7.47809936117529 | -0.578099361175288 |
| 25 | 6.6 | 6.17893599945708 | 0.421064000542922 |
| 26 | 6.7 | 6.26944570361116 | 0.430554296388845 |
| 27 | 6.9 | 6.7679443784595 | 0.132055621540500 |
| 28 | 7 | 7.01977935011743 | -0.0197793501174273 |
| 29 | 7.1 | 7.31337398152559 | -0.213373981525590 |
| 30 | 7.2 | 7.26470807925219 | -0.0647080792521857 |
| 31 | 7.1 | 6.99333165308493 | 0.106668346915072 |
| 32 | 6.9 | 7.0959413772399 | -0.1959413772399 |
| 33 | 7 | 6.51725468240361 | 0.482745317596389 |
| 34 | 6.8 | 7.1734434987627 | -0.373443498762699 |
| 35 | 6.4 | 6.40044617609966 | -0.000446176099661244 |
| 36 | 6.7 | 6.61580361637285 | 0.0841963836271464 |
| 37 | 6.6 | 6.74078965616378 | -0.140789656163782 |
| 38 | 6.4 | 6.52783593537739 | -0.127835935377389 |
| 39 | 6.3 | 6.18277278400692 | 0.117227215993077 |
| 40 | 6.2 | 6.10059954029592 | 0.0994004597040838 |
| 41 | 6.5 | 6.26665897019514 | 0.233341029804856 |
| 42 | 6.8 | 6.83851412014025 | -0.0385141201402517 |
| 43 | 6.8 | 6.84293848398286 | -0.042938483982863 |
| 44 | 6.4 | 6.88007070462229 | -0.480070704622288 |
| 45 | 6.1 | 5.93007759419789 | 0.169922405802114 |
| 46 | 5.8 | 5.79872786002459 | 0.00127213997541276 |
| 47 | 6.1 | 5.34920741810944 | 0.75079258189056 |
| 48 | 7.2 | 6.87864983507475 | 0.321350164925254 |
| 49 | 7.3 | 8.06153427409026 | -0.76153427409026 |
| 50 | 6.9 | 7.55622209466666 | -0.656222094666664 |
| 51 | 6.1 | 6.52672261166944 | -0.426722611669438 |
| 52 | 5.8 | 5.22456996080117 | 0.575430039198834 |
| 53 | 6.2 | 5.55307599008705 | 0.646924009912953 |
| 54 | 7.1 | 6.58784794644136 | 0.512152053558637 |
| 55 | 7.7 | 7.71001599648092 | -0.0100159964809237 |
| 56 | 7.9 | 8.3743139653839 | -0.47431396538390 |
| 57 | 7.7 | 8.077476478256 | -0.377476478256004 |
| 58 | 7.4 | 7.51232643982913 | -0.112326439829127 |
| 59 | 7.5 | 6.9534346494156 | 0.546565350584396 |
| 60 | 8 | 8.12597042012929 | -0.125970420129287 |
| 61 | 8.1 | 8.201469492428 | -0.101469492427995 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 62 | 8.32230469229123 | 7.65032009344552 | 8.99428929113694 |
| 63 | 8.54273899730406 | 7.11558644588284 | 9.96989154872528 |
| 64 | 8.72780621234504 | 6.35683189701666 | 11.0987805276734 |
| 65 | 9.07263962095149 | 5.54272545821974 | 12.6025537836832 |
| 66 | 9.43853049252806 | 4.56621367289769 | 14.3108473121584 |
| 67 | 9.41430068676692 | 3.28352202385219 | 15.5450793496817 |
| 68 | 9.45944649077411 | 1.95968926992142 | 16.9592037116268 |
| 69 | 9.44918675329987 | 0.564927983776867 | 18.3334455228229 |
| 70 | 9.43631804412498 | -0.874852853041075 | 19.7474889412910 |
| 71 | 9.26485419615837 | -2.31506399369032 | 20.8447723860071 |
| 72 | 9.73163480068307 | -4.00125198452099 | 23.4645215858871 |
| 73 | 9.82221515550887 | -6.28171928080732 | 25.9261495918251 |
