The President of State University Wants to Forecast Student Enrollment

Multiple Choice

The president of State University wants to forecast student enrollment for this academic year based on the following historical data:
$$\begin{array} { | c | c | } \hline \text { Year } & \text { Enrollnents } \\\hline 5 \text { years ago } & 15,000 \\\hline 4 \text { years ago } & 16,000 \\\hline 3 \text { years ago } & 18,000 \\\hline \text { 2 years ago } & 20,000 \\\hline \text { Luast year } & 21,000 \\\hline\end{array}$$
What is the forecast for this year using exponential smoothing with ? = 0.5, if the forecast for two years ago was 16,000?

A) 18,750
B) 19,500
C) 21,000
D) 22,650
E) 22,800