The following table represents the number of applicants at a popular private college in the last four years

Month New members
2007 10,067
2008 10,940
2009 11,116
2010 10,999

Assuming ? = 0.2, ? = 0.3, an initial forecast of 10,000 for 2007, and an initial trend adjustment of 0 for 2007, use exponential smoothing with trend adjustment to come up with a forecast for 2011 on the number of applicants.

Month # of applicants Ft Tt FITt
2007 10,067 10,000 0 10000
2008 10,940 10013.4 4.02 10017.42
2009 11,116 10201.94 59.3748 10261.31
2010 10,999 10432.25 110.6562 10542.9
2011 10634.12 138.0219 10772.15

2011 Forecast = 10,634