What do the coefficients mean in a regression analysis?

The interpretation of β is crucial for understanding the nature of the relationship between the variables. A positive β value suggests a direct relationship, where an increase in x leads to an increase in y.

Conversely, a negative β value indicates an inverse relationship, where an increase in x results in a decrease in y. The magnitude of β also provides insight into the strength of the relationship.

The parameter β, also known as the regression coefficient, holds significant importance in statistical analysis. It represents the measure of the relationship between two variables, x and y.

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