A researcher finds a significant correlation between height and the chances of becoming president, with [tex]r = 0.6[/tex], and a significant correlation between age and becoming president, with [tex]r = -0.70[/tex]. Of the two correlations, which relationship is the strongest?

A correlation coefficient tells us about the strength and direction of the relationship between two variables. The variable with the highest absolute value of 'r' has the stronger correlation. Therefore, the relationship between age and becoming president is stronger than the one between height and becoming president.

Explanation:

A correlation coefficient, r, varies between -1 and +1 and tells us about the strength and direction of the linear relationship between two variables. If r is positive, it means that as one variable increases, the other also increases. If r is negative, it means that as one variable increases, the other decreases. The closer |r| is to 1, the stronger the relationship.

Given the correlations of r = .6 for height and becoming president and r = -.7 for age and becoming president, the second correlation is stronger, despite being negative. This is because -.7 is further from zero than .6. Hence the second correlation (age and becoming president) has a stronger linear relationship.

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