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A research study demonstrates that there is a strong, positive correlation between high SES status and positive parenting behaviors. What is the best way to report on these results?
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2. Research Methods in Sociology
Understanding Research Findings
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Which of the following correlation coefficients indicates the strongest relationship between two variables?
A
r = + .30
B
r = + .55
C
r = - .72
D
r = - .23
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Understand that the correlation coefficient, denoted as \(r\), measures the strength and direction of a linear relationship between two variables. It ranges from \(-1\) to \(+1\).
Recall that the strength of the relationship is determined by the absolute value of \(r\), regardless of whether it is positive or negative. The closer the absolute value is to 1, the stronger the relationship.
Calculate the absolute values of each given correlation coefficient: \(|+0.30| = 0.30\), \(|+0.55| = 0.55\), \(|-0.72| = 0.72\), and \(|-0.23| = 0.23\).
Compare these absolute values to identify which is the largest, as this indicates the strongest relationship between the two variables.
Conclude that the correlation coefficient with the highest absolute value represents the strongest relationship, regardless of its positive or negative sign.
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