Which of the following statements regarding correlation is true?

Prepare for the AP Statistics Test. Study with interactive flashcards and detailed multiple choice questions, complete with explanations and hints. Ensure you're ready to ace your exam!

The first option states that the correlation between weight and length of foot is 0.488, which is plausible if it comes from a study of a specific dataset showing a moderate positive relationship between these two variables. Correlation coefficients range from -1 to 1, where 1 indicates a perfect positive relationship, 0 indicates no relationship, and -1 indicates a perfect negative relationship. A correlation of 0.488 suggests a moderate positive correlation, which is entirely possible in practical applications of statistics.

The other statements either misrepresent the nature of correlation or are not universally true. For example, correlation cannot exceed 1 in absolute value, and it does not imply a causal relationship regardless of the correlation value. Additionally, correlation coefficients can be negative, indicating an inverse relationship between the variables measured. Therefore, the affirmation of a specific correlation value being accurately identified makes it the accurate choice among the given options.

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