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

question 3

Multiple Choice

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

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Definitions:

Coefficient Of Determination

Represented as R-squared, it measures the proportion of the variance in the dependent variable that is predictable from the independent variable(s).

Sample Correlation

A measure that indicates the degree to which two variables change together, based on data drawn from a sample of the population.

Test Statistic

A value calculated from sample data during a statistical hypothesis test to determine the p-value or to compare against a critical value.

Prediction Interval

An estimated range of values within which a future observation is expected to fall, with a certain probability.