Correlation Coefficient

Front

What is the correlation coefficient?

Back

A statistical measure that describes the strength and direction of a relationship between two variables.

Tags

CCSS.HSS.ID.B.5

Front

What does a negative correlation indicate?

Back

As one variable increases, the other variable tends to decrease.

Tags

CCSS.HSS.ID.B.5

Front

What does a positive correlation indicate?

Back

As one variable increases, the other variable also tends to increase.

Tags

CCSS.HSS.ID.B.5

Front

What is the range of the correlation coefficient?

Back

The correlation coefficient ranges from -1 to 1.

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CCSS.8.SP.A.1

Front

What does a correlation coefficient of -1 signify?

Back

A perfect negative linear relationship between two variables.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of 1 signify?

Back

A perfect positive linear relationship between two variables.

Tags

CCSS.HSS.ID.B.5

Front

What does a correlation coefficient of 0 signify?

Back

No linear relationship between the two variables.

Tags

CCSS.HSS.ID.B.5

Front

How can you visually assess correlation?

Back

By examining a scatterplot of the two variables.

Tags

CCSS.HSS.ID.B.5

Front

What is the formula for calculating the correlation coefficient (r)?

Back

r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)] where n is the number of pairs.

Tags

CCSS.HSS.ID.C.8

Front

What is an example of a negative correlation?

Back

The relationship between the amount of exercise and body weight.

Tags

CCSS.HSS.ID.B.5