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Consider the following set of quarterly sales data,given in thousands of dollars. The following dummy variable model that incorporates a linear trend and constant seasonal variation was used: y(t)= B0 + B1t + BQ1(Q1)+ BQ2(Q2)+ BQ3(Q3)+ Et.In this model,there are 3 binary seasonal variables (Q1,Q2,and Q3),where Qi is a binary (0,1)variable defined as:
Qi = 1,if the time series data is associated with quarter i;
Qi = 0,if the time series data is not associated with quarter i.The results associated with this data and model are given in the following Minitab computer output.The regression equation is
Sales = 2442 + 6.2Time − 693Q1 − 1499Q2 + 153Q3 Provide a managerial interpretation of the regression coefficients for the variables Q1 (quarter 1),Q2 (quarter 2),and Q3 (quarter 3).
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