If the two variables are measured in different units, which statement about the regression slope is correct?
Correct answer: B. Its units are units of Y divided by units of X
- A. Its numerical value is always unit-free
- B. Its units are units of Y divided by units of X
- C. Its units are units of X divided by units of Y
- D. It must lie between zero and one
Explanation
A regression slope is a rate of change, so its units are response units per explanatory-variable unit. Unlike correlation, it is not unit-free and need not fall between zero and one.
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About Correlation and Regression
Correlation describes the direction and strength of association between two variables using scatter diagrams and correlation coefficients. Regression covers fitted lines, regression equations, prediction and least squares, with a clear distinction between association and causation and between estimating a response value and reversing the roles of the variables.
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