If the correlation coefficient between two variables and is , how should this relationship be interpreted?
Answer and explanation
Correct answer: A. A strong negative linear association between and
- Step 1: Pearson's correlation coefficient ranges from to . Step 2. A value of is close to , indicating a strong negative linear relationship (as one variable increases, the other tends to decrease). Correlation does not imply causation. **Answer: A strong negative linear association between and . Why not the others:** Correlation measures association, not causal percentage changes; cannot detect non-linear associations.
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