The President of State University Wants to Forecast Student Enrollments

Multiple Choice

The president of State University wants to forecast student enrollments for this academic year based on the following historical data: $$\begin{array} { l l } \text { Year } & \text { Enrollments } \\\hline \text { 5 years ago } & 15,000 \\4 \text { years ago } & 16,000 \\\text { 3 years ago } & 18,000 \\2 \text { years ago } & 20,000 \\\text { Last year } & 21,000\end{array}$$ What is the forecast for this year using exponential smoothing with alpha = .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