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The details of the clock sales at a supermarket for the past 6 weeks are shown i

ID: 3241464 • Letter: T

Question

The details of the clock sales at a supermarket for the past 6 weeks are shown in the table below. The time series appears to be relatively stable, without trend, seasonal, or cyclical effects. The simple moving average value of k is set at 2.

Week

Units sold

1

88

2

44

3

54

4

65

5

72

6

85

For the given data, the simple moving average mean absolute deviation is ________.

A) 0.21

B) 20.12

C) 14.25

D) 207.13

If the smoothing constant is assumed to be 0.7, and setting F1 and F2 = A1, the exponential smoothing sales forecast for week 7 is approximately

A) 50 clocks

B) 80 clocks

C) 60 clocks

D) 70 clocks

Week

Units sold

1

88

2

44

3

54

4

65

5

72

6

85

Explanation / Answer

1)

1   88  


2   44  


3   54   66   12  
4   65   49   16  
5   72   59.5   12.5  
6   85   68.5   16.5  


78.5  

14.25

MAD = (summation absolution deviation)/n =(12+16+12.5+16.5) /4 = 14.25

b)

1   88   88
2   44   88
3   54   57.2
4   65   54.96
5   72   61.988
6   85   68.9964


80.19892

B) 80 clock is correct

St=yt1+(1)St1