The numbers of raincoats sold in Classica department store over a three-year period were: Table 1...

 

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The numbers of raincoats sold in Classica department store over a three-year period were: Table 1 Quarter Year 1123 3 Summer 1 -166.875 Winter 248 272 304 Autumn 1 176.625 Winter 2 90.625 Spring 88 96 104 Summer 0 120 18 136 additive decomposition model to: 1. Calculate the predicted values. 28 Table 2 Seasonal Components Spring 2 Summer 2 -100.375 -166.875 Autumn 2 176.625 Autumn 364 380 396 Winter 3 90.625 Spring 3 -100.375 a. Estimate the Centred moving averages for the above time series. b. If the seasonal components for each quarter as in the above table (table 2), apply the 2. Find the error components. 3. Work out the mean squared deviation (MSD) for the model. c. If the calculated mean squared deviation (MSD) for the multiplicative decomposition model for this data is 20.466, compare it with the MSD for the additive model, state which is the better model for the raincoat sales series, additive or multiplicative. The numbers of raincoats sold in Classica department store over a three-year period were: Table 1 Quarter Year 1123 3 Summer 1 -166.875 Winter 248 272 304 Autumn 1 176.625 Winter 2 90.625 Spring 88 96 104 Summer 0 120 18 136 additive decomposition model to: 1. Calculate the predicted values. 28 Table 2 Seasonal Components Spring 2 Summer 2 -100.375 -166.875 Autumn 2 176.625 Autumn 364 380 396 Winter 3 90.625 Spring 3 -100.375 a. Estimate the Centred moving averages for the above time series. b. If the seasonal components for each quarter as in the above table (table 2), apply the 2. Find the error components. 3. Work out the mean squared deviation (MSD) for the model. c. If the calculated mean squared deviation (MSD) for the multiplicative decomposition model for this data is 20.466, compare it with the MSD for the additive model, state which is the better model for the raincoat sales series, additive or multiplicative.

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Answer a To estimate the centered moving averages for the given time series well use a window size o... View the full answer