Forecast the student’s GPA for the fall semester of her senior year by using a three-period moving average.     Forecast the student’s GPA for the fall semester of her senior year by using exponential smoothing with   α=0.2  .     Which of the two methods provides a more accurate forecast? Justify your answer.

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5-21 A college student has just completed her junior year. The following table summarizes her grade-point average (GPA) for each of the past nine quarters: 

  

Year Semester GPA 

Freshman Fall 2.4 

Winter 2.9 

Spring 3.1 

Sophomore Fall 3.2 

Winter 3.0 

Spring 2.9 

Junior Fall 2.8 

Winter 3.6 

Spring 3.2 

Forecast the student’s GPA for the fall semester of her senior year by using a three-period moving average. 

  

Forecast the student’s GPA for the fall semester of her senior year by using exponential smoothing with  

α=0.2 

. 

  

Which of the two methods provides a more accurate forecast? Justify your answer. 

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