Correlation Coefficient

Front

What is the correlation coefficient?

Back

The correlation coefficient is a statistic that measures the strength and direction of a linear association between two quantitative variables.

Front

What does a correlation coefficient of r = 1 indicate?

Back

A correlation coefficient of r = 1 indicates a perfect positive linear relationship between two variables.

Front

What does a correlation coefficient of r = -1 indicate?

Back

A correlation coefficient of r = -1 indicates a perfect negative linear relationship between two variables.

Front

What does a correlation coefficient of r = 0 indicate?

Back

A correlation coefficient of r = 0 indicates no linear relationship between two variables.

Front

What is a weak positive correlation?

Back

A weak positive correlation occurs when the correlation coefficient is between 0 and 0.3, indicating a slight upward trend.

Front

What is a strong positive correlation?

Back

A strong positive correlation occurs when the correlation coefficient is between 0.7 and 1, indicating a strong upward trend.

Front

What is a weak negative correlation?

Back

A weak negative correlation occurs when the correlation coefficient is between -0.3 and 0, indicating a slight downward trend.

Front

What is a strong negative correlation?

Back

A strong negative correlation occurs when the correlation coefficient is between -1 and -0.7, indicating a strong downward trend.

Front

How do you interpret a correlation coefficient of r = -0.3?

Back

A correlation coefficient of r = -0.3 is considered to have a weak negative correlation.

Front

What is the range of the correlation coefficient?

Back

The range of the correlation coefficient is from -1 to 1.