QuestionDecember 26, 2025

If Data A has a correlation coefficient of r=-0.991 , and Data B has a correlation coefficient of r=0.991 which correlation is correct? A. Data A and Data B have the same strength in linear correlation. B. Data Ahas a weaker linear correlation than Data B. C. Data Ahas a stronger linear correlation than Data B.

If Data A has a correlation coefficient of r=-0.991 , and Data B has a correlation coefficient of r=0.991 which correlation is correct? A. Data A and Data B have the same strength in linear correlation. B. Data Ahas a weaker linear correlation than Data B. C. Data Ahas a stronger linear correlation than Data B.
If Data A has a correlation coefficient of r=-0.991 , and Data B has a correlation coefficient of r=0.991 which correlation is correct?
A. Data A and Data B have the same strength in linear correlation.
B. Data Ahas a weaker linear correlation than Data B.
C. Data Ahas a stronger linear correlation than Data B.

Solution
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Answer

A. Data A and Data B have the same strength in linear correlation. Explanation 1. Recall meaning of correlation coefficient The correlation coefficient r shows the **strength and direction** of a linear relationship. The **strength** is determined by |r|, and the **direction** is determined by the sign of r. 2. Compare magnitudes of correlations |r_A| = |-0.991| = 0.991 and |r_B| = |0.991| = 0.991. Since their magnitudes are equal, both have the same strength of correlation, though opposite directions (negative vs. positive).

Explanation

1. Recall meaning of correlation coefficient<br /> The correlation coefficient $r$ shows the **strength and direction** of a linear relationship. The **strength** is determined by $|r|$, and the **direction** is determined by the sign of $r$.<br />2. Compare magnitudes of correlations<br /> $|r_A| = |-0.991| = 0.991$ and $|r_B| = |0.991| = 0.991$. Since their magnitudes are equal, both have the same strength of correlation, though opposite directions (negative vs. positive).
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