Consider the Following Set of Quarterly Sales Data Given in Thousands

question 48

Essay

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 + B_1t + B_Q1(Q1)+ B_Q2(Q2)+ B_Q3(Q3)+ E_t
In this model there are 3 binary seasonal variables (Q1,Q₂,and Q₃).
Where
Q_i is a binary (0,1)variable defined as:
Q_i = 1,if the time series data is associated with quarter i;
Q_i = 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 + 6.2 Time - 693 Q1 - 1499 Q2 + 153 Q3
At $\alpha$ = .05,test the significance of the model.

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Definitions:

Credit Sales

Transactions where the goods or services are provided to a customer with an agreement that payment will be made at a later date.

EOQ

Economic Order Quantity is the ideal quantity of inventory a company should purchase to minimize the total costs of ordering and holding.

Quantity Discount

A pricing strategy where the price per unit of an item is reduced based on the quantity purchased, incentivizing larger orders.

Carrying Costs

The expenses incurred by holding inventory or assets over a period of time.