2024: Correlation Coefficients

Front

What is a correlation coefficient?

Back

A correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables. It ranges from -1 to 1.

Front

What does an r value of 1 indicate?

Back

An r value of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable also increases in a perfectly linear manner.

Front

What does an r value of -1 indicate?

Back

An r value of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a perfectly linear manner.

Front

What does an r value of 0 indicate?

Back

An r value of 0 indicates no correlation between the two variables, meaning changes in one variable do not predict changes in the other.

Front

What is considered a strong positive correlation?

Back

A strong positive correlation is typically indicated by an r value close to 1, usually above 0.7.

Front

What is considered a strong negative correlation?

Back

A strong negative correlation is typically indicated by an r value close to -1, usually below -0.7.

Front

What does an r value between 0 and 0.3 indicate?

Back

An r value between 0 and 0.3 indicates a weak positive correlation.

Front

What does an r value between -0.3 and 0 indicate?

Back

An r value between -0.3 and 0 indicates a weak negative correlation.

Front

How can you estimate the correlation coefficient from a scatter plot?

Back

To estimate the correlation coefficient from a scatter plot, observe the direction and tightness of the data points around a line. A tighter clustering indicates a stronger correlation.

Front

What is the significance of a correlation coefficient of r = -0.3?

Back

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