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The data shown below represent the monthly sales of a product over 5 years. 1 2

ID: 1133372 • Letter: T

Question

The data shown below represent the monthly sales of a product over 5 years.

1

2

3

4

5

Jan

1030

896

951

991

1042

Feb

1032

793

861

950

997

Mar

1126

885

938

1024

1076

Apr

1285

1055

1109

1182

1198

May

1468

1204

1274

1349

1330

Jun

1637

1326

1422

1473

1407

Jul

1611

1303

1486

1540

1465

Aug

1608

1436

1555

1599

1516

Sep

1528

1473

1604

1591

1508

Oct

1420

1453

1600

1546

1431

Nov

1119

1170

1403

1316

1271

Dec

1013

1023

1209

1151

1083

You have developed a new forecasting model for this product, and wish to test your model against one of the simple forecasting methods.

(a) Which simple forecasting method will you use as a comparison?

(b) Provide the reason(s) for your choice in part (a).

1

2

3

4

5

Jan

1030

896

951

991

1042

Feb

1032

793

861

950

997

Mar

1126

885

938

1024

1076

Apr

1285

1055

1109

1182

1198

May

1468

1204

1274

1349

1330

Jun

1637

1326

1422

1473

1407

Jul

1611

1303

1486

1540

1465

Aug

1608

1436

1555

1599

1516

Sep

1528

1473

1604

1591

1508

Oct

1420

1453

1600

1546

1431

Nov

1119

1170

1403

1316

1271

Dec

1013

1023

1209

1151

1083

Explanation / Answer

a) ARIMA ( auto regressive integrated moving average)

SVM(support vector machine)

b) the performance were evaluated based on three metrics : mean absolute error(MAE) ; mean absolute percentage error(MAPE); mean square error (MSE). The accuracy of statistical model in forecasting proved their effectiveness.

Although the comparisons found that no single method is completely superior to the others, the present study indeed highlighted that the SVM outperform the ARIMA model and decomposition methods in most cases.

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