What does the b-value in regression analysis indicate?

The b-value in regression analysis, often referred to as the regression coefficient, provides crucial information about the relationship between independent and dependent variables. It indicates the slope of the regression line, which assesses the change in the dependent variable for every one-unit change in the independent variable. Therefore, the b-value also reveals both the strength and direction of the relationship.

A positive b-value suggests that as the independent variable increases, the dependent variable also increases, indicating a direct relationship. Conversely, a negative b-value indicates that as the independent variable increases, the dependent variable decreases, reflecting an inverse relationship. The magnitude of the b-value also gives insight into the strength of the relationship; larger absolute values indicate a stronger relationship, while values closer to zero suggest a weaker relationship.

By understanding the b-value in this way, one can better interpret the outcomes of regression analyses in research settings, making option C the most comprehensive and accurate interpretation.