Given the series of demand data below Period: 1 2 3 4 5 6 7 8 9 10 Demand: 42 35 58 42 27 49 40 41 27 41 a. Calculate the forecasts for periods 7 through 11 using moving average models with n = 2, n = 4, and n = 6. (Round your intermediate calculations and final answers to 1 decimal place.)

The moving average model is the measurement tool that determines the cumulative average of certain period based upon the records and data of previous periods.

Based upon the previous records the forecasts for the future periods can be predicted and determined.

The moving average model is used to forecast the future values using the estimating trend cycles of the past time values.

The forecasts for periods 7 through 11 is shown in the tables attached below, while taking three different values of n.

The "n" is the time value based upon which the data of previous records are taken.

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Kindly check Explanation

Explanation:

Given :

Period: 1 2 3 4 5 6 7 8 9 10

Demand: 42 35 58 42 27 49 40 41 27 41

Using n = 2

Week - - - - - - - - - - n = 2

7 - - - - - - ( 27 + 49)/2 = 38

8 - - - - - - (49 + 40)/2 = 44.5

9 - - - - - - -(40 + 41)/2 = 40.5

10 - - - - - - (41 + 27)/2 =34

11 - - - - - - - (27 + 41)/2 34

Using n = 4

Week - - - - - - - - - - n = 4

7 - - - - - - (58 + 42 + 27 + 49)/4 = 44

8 - - - - - - (42 + 27 + 49 + 40)/4 = 39.5

9 - - - - - - -(27 + 49 + 40 + 41)/4 = 39.3

10 - - - - - - (49 + 40 + 41 + 27)/4 =39. 3

11 - - - - - - - (40 + 41 + 27 + 41)/2 = 37.3

Using n = 6

Week - - - - - - - - - - n = 6

7 - - - - - - (42 + 35 + 58 + 42 + 27 + 49)/6= 42.2

8 - - - - - - (35 + 58 + 42 + 27 + 49 + 40)/6 = 41.8

9 - - - - - - -(58 + 42 + 27 + 49 + 40 + 41)/6= 42.8

10 - - - - - - (42 + 27 + 49 + 40 + 41 + 27)/6 =39.7

11 - - - - - - - (27 + 49 + 40 + 41 + 27 + 41)/6 = 37.5