In a linear regression model, what does a negative coefficient for an independen

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Question: In a linear regression model, what does a negative coefficient for an independent variable indicate?

Options:

Correct Answer: A negative relationship with the dependent variable

Solution:

A negative coefficient indicates that as the independent variable increases, the dependent variable tends to decrease.

In a linear regression model, what does a negative coefficient for an independent variable indicate?

In a linear regression model, what does a negative coefficient for an independent variable indicate?

Step 1: Understand what a linear regression model is. It is a way to predict a dependent variable (the outcome) based on one or more independent variables (the predictors).
Step 2: Identify what a coefficient is. A coefficient is a number that represents the relationship between an independent variable and the dependent variable.
Step 3: Recognize that coefficients can be positive or negative. A positive coefficient means that as the independent variable increases, the dependent variable also increases.
Step 4: Focus on the negative coefficient. A negative coefficient means that as the independent variable increases, the dependent variable tends to decrease.
Step 5: Conclude that a negative coefficient indicates an inverse relationship between the independent variable and the dependent variable.

Negative Coefficient Interpretation – A negative coefficient in a linear regression model signifies an inverse relationship between the independent variable and the dependent variable.