Correlation Coefficient Practice

Front

What is the correlation coefficient?

Back

The correlation coefficient (r) 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 a strong positive correlation?

Back

A strong positive correlation occurs when the r value is close to 1 (e.g., r > 0.7), indicating that as one variable increases, the other variable tends to also increase.

Front

What is a strong negative correlation?

Back

A strong negative correlation occurs when the r value is close to -1 (e.g., r < -0.7), indicating that as one variable increases, the other variable tends to decrease.

Front

What is a weak positive correlation?

Back

A weak positive correlation occurs when the r value is between 0 and 0.3, indicating a slight tendency for one variable to increase as the other increases.

Front

What is a weak negative correlation?

Back

A weak negative correlation occurs when the r value is between -0.3 and 0, indicating a slight tendency for one variable to decrease as the other increases.

Front

What is no correlation?

Back

No correlation occurs when the r value is around 0, indicating that there is no predictable relationship between the two variables.

Front

How do you interpret a scatter plot?

Back

A scatter plot visually represents the relationship between two variables. The pattern of points can indicate the type of correlation (positive, negative, or none) and its strength.