Which change leaves Pearson's correlation coefficient unchanged?
Correct answer: C. Adding a constant to one variable
- A. Replacing one variable by its square
- B. Adding random error to one variable
- C. Adding a constant to one variable
- D. Removing observations selectively
Explanation
Adding a constant shifts the location of a variable but does not change its pattern of variation with the other variable. Random error, squaring, or selective removal can alter the correlation.
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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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