Consider the Sample Regression Equation = 12 + 3x₁

question 112

Multiple Choice

Consider the sample regression equation = 12 + 3x₁ - 5x₂ + 7x₃ - 2x₄. When x₁ increases by 1 unit and x₂ increases by 2 units, while x₃ and x₄ remain unchanged, what change would you expect in the predicted y?

• A) Decrease by 2
• B) Decrease by 4
• C) Decrease by 7
• D) No change in predicted y

---

Definitions:

Inductive Reasoning

A logical process in which multiple premises, all believed true, are combined to obtain a specific conclusion.

Longitudinal Research

A research design that follows the same individuals over time.

Cross-sectional Research

A research method that involves analyzing data from a population, or a representative subset, at a specific point in time to identify trends and patterns.

Intellectual Development

The process in which a person's cognitive abilities and capacity for logical thinking evolve over time.