Correlation Coefficient

Front

What is the correlation coefficient?

Back

A statistical measure that describes the strength and direction of a relationship between two variables, ranging from -1 to 1.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of 1 indicate?

Back

A perfect positive correlation, meaning as one variable increases, the other variable also increases.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of -1 indicate?

Back

A perfect negative correlation, meaning as one variable increases, the other variable decreases.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of 0 indicate?

Back

No correlation, meaning there is no predictable relationship between the two variables.

Tags

CCSS.HSS.ID.B.5

Front

What is a strong positive correlation?

Back

A correlation coefficient close to 1 (e.g., r = 0.8 to 1) indicating a strong relationship where both variables increase together.

Tags

CCSS.HSS.ID.B.5

Front

What is a strong negative correlation?

Back

A correlation coefficient close to -1 (e.g., r = -0.8 to -1) indicating a strong relationship where one variable increases while the other decreases.

Tags

CCSS.HSS.ID.B.5

Front

What is a weak positive correlation?

Back

A correlation coefficient close to 0 but positive (e.g., r = 0.1 to 0.3) indicating a weak relationship where both variables tend to increase together.

Tags

CCSS.HSS.ID.B.5

Front

What is a weak negative correlation?

Back

A correlation coefficient close to 0 but negative (e.g., r = -0.1 to -0.3) indicating a weak relationship where one variable tends to increase while the other decreases.

Tags

CCSS.HSS.ID.B.5

Front

How do you interpret a correlation coefficient of r = 0.84?

Back

This indicates a strong positive correlation between the two variables.

Tags

CCSS.HSS.ID.B.5

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation indicates that one variable directly affects the other.

Tags

CCSS.HSS.ID.C.9