Question
Download Solution PDFIf two regression coefficients are 0.8 and 1.2, which one of the following is the value of coefficient of correlation?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is 0.97.
Key Points The coefficient of correlation, often denoted as "r," measures the strength and direction of the linear relationship between two variables. It ranges between -1 and 1.
To determine the coefficient of correlation from the given regression coefficients, we need to consider the relationship between the regression coefficients and the coefficient of correlation. Specifically, the coefficient of correlation is the square root of the product of the two regression coefficients:
Coefficient of Correlation (r) = √(Regression Coefficient 1 * Regression Coefficient 2)
Given that the regression coefficients are 0.8 and 1.2:
Coefficient of Correlation (r) = √(0.8 * 1.2)
Coefficient of Correlation (r) = √0.96
Coefficient of Correlation (r) ≈ 0.97
Therefore, the value of the coefficient of correlation is approximately 0.97.
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