In the equation of the model for multiple linear regression, what role does the term 'b' represent?
Understand the Problem
The question is asking for the specific role of the term 'b' in the context of a multiple linear regression model, specifically what it signifies among the options provided.
Answer
'b' represents the regression coefficients for independent variables.
In the equation of multiple linear regression, the term 'b' represents the regression coefficients for the corresponding independent variables (x terms). These coefficients quantify the relationship and impact of each independent variable on the dependent variable.
Answer for screen readers
In the equation of multiple linear regression, the term 'b' represents the regression coefficients for the corresponding independent variables (x terms). These coefficients quantify the relationship and impact of each independent variable on the dependent variable.
More Information
In multiple linear regression, the coefficients (also known as regression weights) indicate how much the dependent variable is expected to increase (if positive) or decrease (if negative) given a one-unit increase in the independent variable, holding all other variables constant.
Tips
A common mistake is confusing 'b' the sample estimate, with 'β' which represents the population parameter. Ensure clarity on whether describing the sample or the population coefficients.
Sources
- Multiple Linear Regression - Overview, Formula, How It Works - corporatefinanceinstitute.com
- 5.3 - The Multiple Linear Regression Model | STAT 462 - online.stat.psu.edu
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