| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.848800087938736 |
| beta | 0 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 7.76 | 7.61197688096642 | 0.148023119033584 |
| 14 | 7.76 | 7.73508127617569 | 0.0249187238243094 |
| 15 | 7.77 | 7.75493610895619 | 0.0150638910438081 |
| 16 | 7.83 | 7.81142301245571 | 0.0185769875442885 |
| 17 | 7.94 | 7.91825231476319 | 0.0217476852368153 |
| 18 | 7.94 | 7.92207334921433 | 0.0179266507856743 |
| 19 | 7.94 | 7.96741586091488 | -0.0274158609148749 |
| 20 | 8.09 | 7.98028943044056 | 0.109710569559438 |
| 21 | 8.18 | 8.10026553869293 | 0.0797344613070692 |
| 22 | 8.26 | 8.2256801643389 | 0.0343198356610923 |
| 23 | 8.28 | 8.26180499176366 | 0.0181950082363436 |
| 24 | 8.28 | 8.40836139135682 | -0.128361391356817 |
| 25 | 8.28 | 8.32404003197007 | -0.0440400319700682 |
| 26 | 8.29 | 8.26178724169145 | 0.0282127583085447 |
| 27 | 8.3 | 8.28049566383511 | 0.0195043361648874 |
| 28 | 8.3 | 8.34201160340643 | -0.0420116034064311 |
| 29 | 8.31 | 8.40140676092787 | -0.0914067609278693 |
| 30 | 8.33 | 8.30624710113261 | 0.0237528988673894 |
| 31 | 8.33 | 8.34917362973838 | -0.0191736297383756 |
| 32 | 8.34 | 8.39073301192205 | -0.0507330119220519 |
| 33 | 8.48 | 8.36953476099503 | 0.11046523900497 |
| 34 | 8.59 | 8.51474895400571 | 0.075251045994289 |
| 35 | 8.67 | 8.58206011379746 | 0.0879398862025411 |
| 36 | 8.67 | 8.76881379003755 | -0.0988137900375463 |
| 37 | 8.67 | 8.72246943279367 | -0.0524694327936661 |
| 38 | 8.71 | 8.66169196419698 | 0.0483080358030215 |
| 39 | 8.72 | 8.69414710354374 | 0.0258528964562625 |
| 40 | 8.72 | 8.75183648926944 | -0.0318364892694394 |
| 41 | 8.72 | 8.81502799922603 | -0.0950279992260281 |
| 42 | 8.74 | 8.73248099782015 | 0.00751900217984769 |
| 43 | 8.74 | 8.75429194053674 | -0.0142919405367401 |
| 44 | 8.74 | 8.79615133617384 | -0.0561513361738371 |
| 45 | 8.74 | 8.79515626383475 | -0.0551562638347498 |
| 46 | 8.79 | 8.79477670626116 | -0.00477670626116122 |
| 47 | 8.85 | 8.79530500654702 | 0.0546949934529781 |
| 48 | 8.86 | 8.92645100310957 | -0.0664510031095702 |
| 49 | 8.87 | 8.91479209814778 | -0.0447920981477825 |
| 50 | 8.92 | 8.8749092980496 | 0.0450907019504001 |
| 51 | 8.96 | 8.90017101411346 | 0.0598289858865417 |
| 52 | 8.97 | 8.97779367639901 | -0.00779367639900919 |
| 53 | 8.99 | 9.05305911344782 | -0.0630591134478191 |
| 54 | 8.98 | 9.01251553925291 | -0.0325155392529144 |
| 55 | 8.98 | 8.99644891115725 | -0.0164489111572497 |
| 56 | 9.01 | 9.03049561520607 | -0.0204956152060696 |
| 57 | 9.01 | 9.06028623396056 | -0.0502862339605645 |
| 58 | 9.03 | 9.07230834976358 | -0.0423083497635783 |
| 59 | 9.05 | 9.04936918378332 | 0.000630816216675711 |
| 60 | 9.05 | 9.11698370075069 | -0.0669837007506882 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 61 | 9.10844210717998 | 8.99246245371989 | 9.22442176064008 |
| 62 | 9.11955162961144 | 8.96758237073146 | 9.2715208884914 |
| 63 | 9.10772760470569 | 8.92718827756804 | 9.28826693184334 |
| 64 | 9.12406608020662 | 8.91869333327727 | 9.32943882713597 |
| 65 | 9.19822045377927 | 8.9697205010155 | 9.42672040654304 |
| 66 | 9.21543730970699 | 8.9669768471807 | 9.46389777223328 |
| 67 | 9.22888640735084 | 8.9621029751272 | 9.49566983957449 |
| 68 | 9.27666433366325 | 8.99192855770998 | 9.5614001096165 |
| 69 | 9.31958340399799 | 9.01804824319786 | 9.6211185647981 |
| 70 | 9.376237243929 | 9.05835748267164 | 9.69411700518637 |
| 71 | 9.39516424409414 | 9.06284389133888 | 9.7274845968494 |
| 72 | 9.45284213993226 | 5.96526564771901 | 12.9404186321455 |
