A correlation coefficient close to zero can still occur when two variables have:
Correct answer: A. A strong curved relationship
- A. A strong curved relationship
- B. No variation in either variable
- C. A perfect positive linear relationship
- D. Exactly equal means
Explanation
Pearson's correlation measures linear association, so a strong nonlinear pattern may produce a value near zero. A curved relationship can therefore exist despite weak linear 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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