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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