Consider the Following Set of Quarterly Sales Data, Given in Thousands

question 132

Short Answer

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) = β₀ + β_1t + β_Q1(Q1) + β_Q2(Q2) + β_Q3(Q3) + E_t. In this model, there are three 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 + 6.2 Time − 693 Q1 − 1499 Q2 + 153 Q3
Analysis of Variance
Provide a managerial interpretation of the regression coefficient for the variable "time."

---

Definitions:

LMX

A theory that focuses on the two-way (dyadic) relationship between leaders and followers, emphasizing the mutual exchange of benefits.

Employee Empowerment

A management philosophy that emphasizes giving employees the autonomy, resources, and skills to make decisions and solve problems on their own.

Leadership Making

The process of creating and influencing leadership through actions, decisions, and interactions within a group or organization.

Relationship Quality

The assessment of how healthy, satisfying, and beneficial a relationship is between individuals or entities.