What is the standardized slope 'b' equivalent to?

Understand the Problem

The question is asking about the standardized slope 'b' in statistical terms, particularly in relation to linear regression or correlation. The standardized slope represents the change in standard deviations of the dependent variable for a one standard deviation change in the independent variable.

More Information

The standardized slope expresses the relationship between the variables in standard deviation units, allowing for direct comparison between different datasets. It's equivalent to the Pearson correlation coefficient because both measure the strength of a linear relationship on a standardized scale.

Tips

A common mistake is confusing raw and standardized slopes. The standardization process involves converting variables to have a mean of 0 and standard deviation of 1, which then allows the slope to be compared to the correlation coefficient.

Sources

• In a simple linear regression, Pearson's r and standardized beta are equivalent. - researchgate.net
• Standardized Regression Coefficient - ScienceDirect - sciencedirect.com