I'm trying to understand the meaning and interpretation of standardized coefficients in the context of linear regression. How do these coefficients help in explaining the relationship between predictor variables and the response variable?
6 answers
Margherita
Sun Oct 13 2024
The use of standardized units is advantageous as it facilitates comparisons across variables and models, regardless of their original scales. It also helps to identify which independent variables have the strongest effects on the dependent variable.
Valentino
Sun Oct 13 2024
The standardized regression coefficient serves as a metric to quantify the expected alteration in the dependent variable Y, expressed in standardized units of SY. This approach ensures that each unit represents a statistical equivalent of one standard deviation.
Daniele
Sun Oct 13 2024
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SkylitEnchantment
Sun Oct 13 2024
The computation of this coefficient involves multiplying the regression coefficient bi by the standard deviation of the independent variable Xi, denoted as S Xi. This step adjusts the regression coefficient to account for the variability within Xi.
MysticGlider
Sun Oct 13 2024
Subsequently, the result is divided by the standard deviation of Y, denoted as SY. This division standardizes the expected change in Y, enabling comparisons across variables with different scales.