Calculate the trend-cycle and monthly seasonal indices

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Reference no: EM13930288

The data in Table 3-11 represent the monthly sales of product A for a plastics manufacturer for years 1 through 5.

 

1

2

3

4

5

Jan

742

741

896

951

1030

Feb

697

700

793

861

1032

Mar

776

774

885

938

1126

Apr

898

932

1055

1109

1285

May

1030

1099

1204

1274

1468

Jun

1107

1223

1326

1422

1637

Jul

1165

1290

1303

1486

1611

Aug

1216

1349

1436

1555

1608

Sep

1208

1341

1473

1604

1528

Oct

1131

1296

1453

1600

1420

Nov

971

1066

1170

1403

1119

Dec

783

901

1023

1209

1013

Table 3-11: Monthly sales of product  A for a plastics manufacturer (in 1,000s).

(a) Plot the time series of sales of product A. Can you identify seasonal fluctuations and/or a trend?

(b) Use a classical multiplicative decomposition to calculate the trend-cycle and monthly seasonal indices.

(c) Do the results support the graphical interpretation from part (a)?

Reference no: EM13930288

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