A very weak correlation between two variables is indicated by which value of r?

A very weak correlation between two variables is indicated by which value of r?

• A. r = 0.0 to 0.25
• B. r = 0.26 to 0.5
• C. r = 0.51 to 0.75
• D. r = 0.76 to 1

Answer: (A)

A very weak correlation between two variables is represented by a correlation coefficient value (r) that falls within the range of 0.0 to 0.25. This range indicates that there is little to no relationship between the two variables being analyzed, meaning that changes in one variable are not associated with consistent changes in the other variable. When the values of r are close to zero, it implies that the data points are widely scattered and that there is minimal predictive capability between the two variables. In contrast, as the value of r increases beyond 0.25, it suggests a stronger correlation. A range of 0.26 to 0.5 indicates a weak but detectable correlation, while values from 0.51 to 0.75 point to a moderate correlation, and values from 0.76 to 1 indicate a strong positive correlation. Thus, the classification of correlation strength is directly tied to these specific intervals of the correlation coefficient.

A very weak correlation between two variables is represented by a correlation coefficient value (r) that falls within the range of 0.0 to 0.25. This range indicates that there is little to no relationship between the two variables being analyzed, meaning that changes in one variable are not associated with consistent changes in the other variable. When the values of r are close to zero, it implies that the data points are widely scattered and that there is minimal predictive capability between the two variables.

In contrast, as the value of r increases beyond 0.25, it suggests a stronger correlation. A range of 0.26 to 0.5 indicates a weak but detectable correlation, while values from 0.51 to 0.75 point to a moderate correlation, and values from 0.76 to 1 indicate a strong positive correlation. Thus, the classification of correlation strength is directly tied to these specific intervals of the correlation coefficient.