Suppose You Have Many Observations of the Scores Students Got

question 37

Multiple Choice

Suppose you have many observations of the scores students got on an exam, with other characteristics of the students including how many hours they studied for the exam that week and what is their current major GPA. Now, suppose you ran the standard linear regression of the exam grade on the number of hours studied: Grade_i = β₀ + β₁ Hours Studied_i + U_i and got an estimate of β₁, call it b₁. Now, suppose a colleague tells you that the students with above average GPAs were the students who studied more for the exam. How does your estimate of β₂* in the following regression, Grade_i = β₀^* + β₁ Hours Studied_i + β₂^* Major GPA_i + U_i, inform you of what your estimate of what β₁^* will be for that same regression?

• A) If β₂* > 0, then β₁* > b₁
• B) If β₂* > 0, then β₁* < b₁
• C) If β₂* < 0, then β₁* > 0
• D) If β₂* > 0, then β₁* > 0

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Definitions:

Vroom-Jago Time-driven

A decision-making model that takes into account the importance of time in the effectiveness of certain leadership styles and decisions.

Likelihood of Support

Refers to the perceived probability or expectation that an idea, initiative, or action will receive backing and acceptance from others.

Vroom-Jago Leadership Model

A decision-making framework that helps leaders choose the right leadership style based on the situation's complexity and the importance of team involvement.

Subordinates

Employees or team members who are ranked lower in the organizational hierarchy and report to a supervisor or manager.