The data shown to the right represent enrollment in a major at your university for the past six semesters (Note: semester 1 is the oldestdata; semester 6 is the most recentdata). Complete parts a through e.

Semester

Enrollment

1

89

2

117

3

132

4

137

5

149

6

155

Prepare single exponential smoothing forecast for semester 7 using an alpha value of 0.45. Assume that the initial forecast for semester 1 is 90.

The single exponential smoothing forecast for semester 7 is

nothing

.

(Round to two decimal places asneeded.)

d.

Prepare double exponential smoothing forecast for semester 7 using an alpha value of 0.20 and a beta value of 0.25. Assume that the initial smoothed constant value for semester 1 is 80 and the initial smoothed trend value for semester 1 is 10.

The double exponential smoothing forecast for semester 7 is

nothing

.

(Round to two decimal places asneeded.)

e.

Calculate the MAD values for the single exponential smoothing model and the double exponential smoothing model at the end of semester 6. Which model appears to be doing the better job of forecasting courseenrollment? Don't include period 1 in the calculation.

The MAD for the simple exponential smoothing model is MAD=

nothing

.

(Round to three decimal places asneeded.)

he MAD for the double exponential smoothing model is MAD=

nothing

.

(Round to three decimal places asneeded.)

Which model appears to be doing the better job of forecasting courseenrollment?

The double exponential smoothing model

The single exponential smoothing model