Correlation Coefficient

What is the correlation coefficient used for?

• It is used to measure the strength and direction of the non-linear relationship between two variables.

• It is used to measure the strength and direction of the relationship between three variables.

• It is used to measure the strength and direction of the relationship between a variable and a constant.

• It is used to measure the strength and direction of the linear relationship between two variables.

How is the correlation coefficient calculated?

• By adding the covariance of two variables to the product of their standard deviations.

• By multiplying the covariance of two variables by the sum of their standard deviations.

• By dividing the covariance of two variables by the product of their standard deviations.

• By subtracting the covariance of two variables from the product of their standard deviations.

Tags

CCSS.HSS.ID.C.8

What does a correlation coefficient of 0 indicate?

• Weak positive linear relationship

• No linear relationship

• Perfect negative linear relationship

• Perfect positive linear relationship

Tags

CCSS.HSF.LE.B.5

What does a positive correlation coefficient indicate?

• As one variable decreases, the other variable also decreases.

• There is no relationship between the two variables.

• As one variable increases, the other variable also increases.

• As one variable increases, the other variable decreases.

What does a negative correlation coefficient indicate?

• As one variable decreases, the other variable decreases.

• As one variable increases, the other variable decreases.

• There is no relationship between the variables.

• As one variable increases, the other variable increases.

Tags

CCSS.HSF.LE.B.5

What is the range of values for a correlation coefficient?

• -1 to 1

• 1 to 10

• 10 to 100

• 0 to 1

What does a correlation coefficient close to 1 indicate?

• No relationship

• Strong negative linear relationship

• Weak positive linear relationship

• Strong positive linear relationship

Tags

CCSS.HSF-LE.A.1B

What does a correlation coefficient close to -1 indicate?

• No relationship

• Strong positive linear relationship

• Strong negative linear relationship

• Weak negative linear relationship

Tags

CCSS.HSF-LE.A.1B

What does a correlation coefficient close to 0 indicate?

• strong positive linear relationship

• strong negative linear relationship

• perfect linear relationship

• weak or no linear relationship

Tags

CCSS.HSF-LE.A.1B

How is the strength of a correlation determined?

• correlation coefficient

• sample size

• standard deviation

• p-value