Multiple Choice
Which of the following statements is true of correlation analysis?
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11. Correlation
Correlation Coefficient
Multiple Choice
Correlation means all of the following except that .
A
it measures the strength and direction of a linear relationship between two variables
B
it does not distinguish between dependent and independent variables
C
it is represented by a value between and
D
it implies that changes in one variable cause changes in the other variable
Verified step by step guidance1
Step 1: Understand the concept of correlation. Correlation measures the strength and direction of a linear relationship between two variables, but it does not imply causation.
Step 2: Recall that correlation is symmetric, meaning it does not distinguish between dependent and independent variables; it simply quantifies how variables move together.
Step 3: Remember that the correlation coefficient, often denoted as \(r\), ranges between \(-1\) and \$1\(, where \)-1\( indicates a perfect negative linear relationship, \)1\( indicates a perfect positive linear relationship, and \)0$ indicates no linear relationship.
Step 4: Recognize that correlation does not imply causation; just because two variables are correlated does not mean that changes in one cause changes in the other.
Step 5: Therefore, the statement that correlation implies causation is incorrect and is the exception among the given options.
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