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: $$\begin{array} { | c | c | } \hline \text { Year } & \text { Enrollments } \\\hline \text { 5 Years ago } & 15,000 \\\hline \text { 4 Years ago } & 16,000 \\\hline \text { 3 Years ago } & 18,000 \\\hline \text { 2 Years ago } & 20,000 \\\hline \text { Last Year } & 21,000 \\\hline\end{array}$$
What is the forecast for this year using trend-adjusted (double) smoothing with alpha = .05 and beta = .3, if the forecast for last year was 21,000, the forecast for two years ago was 19,000, and the trend estimate for last year's forecast was 1,500?

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