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If the Coefficient of Correlation Between X and Y Is

Question 29

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If the coefficient of correlation between x and y is close to −1.0, which of the following statements is correct? AThere is a strong, positive linear relationship between x and y, where there may or  may not be any causal relationship between x and y.B There is a strong, negative linear relationship between x and y, where there must be a causal relationship between x and yCThere is a weak, negative linear relationship between x and y, where there may or may not be any causal relationship between x and yDThere is a strong negative linear relationship between x and y, where there may or  may not be any causal relationship between x and y.\begin{array}{|l|l|}\hline A&\text {There is a strong, positive linear relationship between \( \mathrm{x} \) and \( \mathrm{y} \), where there may or }\\&\text { may not be any causal relationship between \( x \) and \( y \).}\\\hline B&\text { There is a strong, negative linear relationship between \( \mathrm{x} \) and \( \mathrm{y} \), where there}\\&\text { must be a causal relationship between \( x \) and \( y \). }\\\hline C&\text {There is a weak, negative linear relationship between \( \mathrm{x} \) and \( \mathrm{y} \), where there may or }\\&\text {may not be any causal relationship between \( x \) and \( y \). }\\\hline D&\text {There is a strong negative linear relationship between \( \mathrm{x} \) and \( \mathrm{y} \), where there may or }\\&\text { may not be any causal relationship between \( x \) and \( y \).}\\\hline \end{array}

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