Question

analysis of data from a statistical study shows a linear relationship in the data with a correlation coefficient -0.524. which statement best summarizes this result?

1. there is a strong positive correlation between the variables.
2. there is a moderate positive correlation between the variables.
3. there is a strong negative correlation between the variables.
4. there is a moderate negative correlation between the variables.

Explanation:

The correlation coefficient \(r=-0.524\). The sign of \(r\) (negative) indicates the direction of the correlation. The magnitude \(|r| = 0.524\). When \(0.3<|r|<0.7\), it is considered a moderate correlation.

Answer:

1. There is a moderate negative correlation between the variables.