Question

In: Statistics and Probability

Find the forecast for all the four quarters for the year 9 & 10. Year Qtr....

Find the forecast for all the four quarters for the year 9 & 10.

Year

Qtr. 1

Qtr. 2

Qtr. 3

Qtr. 4

Total

1

28

37

33

24

122

2

27

40

30

23

120

3

31

36

33

30

130

4

31

39

36

26

132

5

29

38

32

24

123

6

32

40

36

26

134

7

34

42

34

29

139

8

31

39

39

23

132

Solutions

Expert Solution

We can calculate forecast using many methods, mainly we use these two methods: Three year moving average or exponential smoothing value method.

Here I am using three month moving average method to calculate the forecast.

Qtr. 1: In this method we calculate the average of first three years and then forecast it for the fourth year and then calculate the average of second three years and the forecast it for the fifth year and so on.

YEAR QUARTER 1 FORECAST
1 28
2 27
3 31
4 31 28.67
5 29 29.67
6 32 30.33
7 34 30.67
8 31 31.67

Now forecast for 9th and 10th year is :

Forecast for 9th month =

Forecast for 10th month =

Qtr. 2: In this method we calculate the average of first three years and then forecast it for the fourth year and then calculate the average of second three years and the forecast it for the fifth year and so on.

YEAR QUARTER 1 FORECAST
1 37
2 40
3 36
4 39 37.67
5 38 38.33
6 40 37.67
7 42 39
8 39 40

Now forecast for 9th and 10th year is :

Forecast for 9th month =

Forecast for 10th month =

Qtr. 3: In this method we calculate the average of first three years and then forecast it for the fourth year and then calculate the average of second three years and the forecast it for the fifth year and so on.

YEAR QUARTER 1 FORECAST
1 33
2 30
3 33
4 36 32  
5 32 33
6 36 33.67
7 34 34.67
8 39 34

Now forecast for 9th and 10th year is :

Forecast for 9th month =

Forecast for 10th month =

Qtr. 4: In this method we calculate the average of first three years and then forecast it for the fourth year and then calculate the average of second three years and the forecast it for the fifth year and so on.

YEAR QUARTER 1 FORECAST
1 24
2 23
3 30
4

26

25.67
5 24 26.33
6 26 26.67
7 29 25.33
8 23 26.33

Now forecast for 9th and 10th year is :

Forecast for 9th month =

Forecast for 10th month =


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