The standardized regression coefficient is typically denoted by which symbol?

The standardized regression coefficient is typically denoted by which symbol?

• A. bi
• B. βi
• C. ri
• D. ti

Answer: (B)

The concept being tested is how we denote the standardized regression coefficient. When all variables are standardized, the slope that results is represented by the Greek beta with a subscript, indicating the specific predictor. This standardized coefficient, βi, tells you how many standard deviation units the dependent variable changes for a one standard deviation change in the ith predictor, while other predictors are held constant. This standardization allows you to compare the relative strengths of different predictors on the same scale. The other symbols refer to different things: bi is typically the unstandardized slope (has original units), ri is the Pearson correlation between X and Y, and ti is the t-statistic used to test whether the coefficient is zero. So the standardized regression coefficient is represented by βi.

The concept being tested is how we denote the standardized regression coefficient. When all variables are standardized, the slope that results is represented by the Greek beta with a subscript, indicating the specific predictor. This standardized coefficient, βi, tells you how many standard deviation units the dependent variable changes for a one standard deviation change in the ith predictor, while other predictors are held constant. This standardization allows you to compare the relative strengths of different predictors on the same scale. The other symbols refer to different things: bi is typically the unstandardized slope (has original units), ri is the Pearson correlation between X and Y, and ti is the t-statistic used to test whether the coefficient is zero. So the standardized regression coefficient is represented by βi.