The president of State University wants to forecast student enrollment for this academic year based on the following historical data:
Year :Enrollments
5 years ago :15,000
4 years ago :16,000
3 years ago :18,000
2 years ago :20,000
Last year :21,000
-What is the forecast for this year using exponential smoothing with $\alpha$= 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

Question

The president of State University wants to forecast student enrollment for this academic year based on the following historical data:
Year :Enrollments
5 years ago :15,000
4 years ago :16,000
3 years ago :18,000
2 years ago :20,000
Last year :21,000
-What is the forecast for this year using exponential smoothing with $\alpha$= 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

Quizplus · Accepted Answer

The exponential smoothing formula is: $ F_t = \alpha \times A_{t-1} + (1-\alpha) \times F_{t-1} $. For last year: $ F_{last} = 0.5 \times 21,000 + 0.5 \times 18,000 = 19,500 $.

The President of State University Wants to Forecast Student Enrollment α\alphaα

The President of State University Wants to Forecast Student Enrollment $\alpha$