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This question from Quantitiative method course. SportXpert want to use the simpl

ID: 3174986 • Letter: T

Question

This question from Quantitiative method course.

SportXpert want to use the simple exponential smoothing on the bike sales given in question 5 (Below) Assume that F1 is perfect.

a: Develop a simple exponential smoothing with a=0.3 and compute the MAD.

b: The MAD of a simple exponential smoothing with a=0.4 is 0.87. What value of a (0.3 or 0.4) should SportXpert choose?

Question (5).

Bike sales at SportXpert are shown below:

Week

Bike Sales

1

4

2

5

3

4

4

6

5

5

6

7

7

-

Develop a 3-week weighted moving average forecast by weighting the three weeks as follows:

Weights Applied

Period

4

Last week

3

Two weeks ago

1

Three weeks ago

8

Total

Week

Bike Sales

1

4

2

5

3

4

4

6

5

5

6

7

7

-

Explanation / Answer

as forecast by exponential smoothing

Forecast =a*last month actual +(1-a)*last month forecast

from above MAD =1.1 at a=0.3

hence we should choose a=0.4 to reduce errror

3 week weighted average forecast =(4*lastweek+3*two week ago+1*three week ago)/8

Week Bike Sales(A) forecast(F) |A-F| 1 4 2 5 4.00 1.00 3 4 4.30 0.30 4 6 4.21 1.79 5 5 4.75 0.25 6 7 4.82 2.18 7 - 5.48 total 5.52 mean 1.10
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