Linear Correlation and Correlation Coefficient

Front

What is a correlation in statistics?

Back

A correlation is a statistical measure that describes the extent to which two variables change together.

Tags

CCSS.HSS.ID.B.5

Front

What does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Tags

CCSS.HSS.ID.B.5

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Tags

CCSS.HSS.ID.B.5

Front

What does no correlation mean?

Back

No correlation means that there is no predictable relationship between the changes in two variables.

Tags

CCSS.HSF-LE.A.1B

Front

What is the correlation coefficient?

Back

The correlation coefficient is a numerical value that ranges from -1 to 1, indicating the strength and direction of a linear relationship between two variables.

Tags

CCSS.HSS.ID.C.8

Front

What is the range of the correlation coefficient?

Back

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

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of 1 indicate?

Back

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

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of -1 indicate?

Back

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

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of 0 indicate?

Back

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

Tags

CCSS.HSS.ID.B.5

Front

How can you visually assess correlation?

Back

You can visually assess correlation by plotting the data on a scatter plot and observing the pattern of the points.

Tags

CCSS.7.SP.B.3