Business Analytics - Forecasting

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Assignment 1a Questions

 

 

 

Question 1

 

Determine the error for each of the following forecasts. Then, calculate MAD and MSE.

 

 

 

Period   Value   Forecast Error

 

 

 

      1        202                   

 

      2        191      202

 

      3        173      192

 

      4        169      181

 

      5        171      174

 

      6        175      172

 

      7        182      174

 

      8        196      179

 

      9        204      189

 

     10       219      198

 

     11       227      211

 

 

 

Question 2

 

The U.S. Census Bureau publishes data on factory orders for all manufacturing, durable goods, and nondurable goods industries. Shown here are factory orders in the United States over a 13-year period ($ billion).

 

First, use the data to develop forecasts for years 6 through 13 using a 5-year moving average. Unit 5 [GB513: Business Analytics]

 

2 of 5

 

Year

Factory orders

1

2,512.70

2

2,739.20

3

2,874.90

4

2,934.10

5

2,865.70

6

2,978.50

7

3,092.40

8

3,052.60

9

3,145.20

10

3,114.10

11

3,257.40

12

3,654.00

13

 

 

 

Then, use the data to develop forecasts for years 6 through 13 using a 5-year weighted moving average. Weight the most recent year by 6, the previous year by 4, the year before that by 2, and the other years by 1.

 

Answer the following questions:

 

a) What is the forecast for year 13 based on the 5-year moving average?

 

b) What is the forecast for year 13 based on the 5-year weighted moving average?

 

c) What is the MAD for the moving average forecast?

 

d) What is the MAD for the weighted moving average forecast?

 

e) Which forecasting model is better?

 

 

 

Year

Total Number of New Orders

1

55,022

2

55,921

3

64,182

4

76,003

5

87,327

6

85,139

7

99,513

8

115,109

9

116,251

10

121,547

11

123,321

12

141,200

13

162,140

14

168,420

15

171,250

16

176,355

17

195,204

18

209,389

19

237,025

20

272,544

21

293,475

 

Attached is the template for the answers

 

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