Correlation Coefficients

The correlation coefficient for the data shown is r= -0.89

What does this tell you about the data?

• There is a strong linear relationship

• There is a weak linear relationship

• There is no linear relationship

Tags

CCSS.HSS.ID.C.8

Interpret the correlation coefficient of r= -0.89 in context for the scatterplot shown

• As the temperature increases, the cups of hot chocolate sold tends to increase

• As the temperature increases, the cups of hot chocolate sold increases

• As the temperature increases, the cups of hot chocolate sold tends to decrease

• As the temperature increases, the cups of hot chocolate sold decreases

Tags

CCSS.HSS.ID.C.8

A study about the age of children and the hours they sleep shows they have a strong negative correlation. Interpret the correlation in context.

• As the age of children increases, the number of hours they sleep tends to increase

• As the age of children increases, the number of hours they sleep tends to decrease

• Children do not sleep.

Tags

CCSS.8.SP.A.3

A study about the number of musical instruments a student plays and the student’s grade in math shows they have a strong positive correlation.

Interpret the correlation in context.

• As the number of musical instruments a student plays increases, their math grade tends to increase.

• As the number of musical instruments a student plays increases, their math grade tends to decrease.

• Students like playing instruments and math class.

Describe the correlation in context for the shown scatterplot

• As the number of movie tickets sold increases, the concession stand sales tend to increase

• As the number of movie tickets sold increases, the concession stand sales tend to decrease

• As the number of movie tickets sold increases, the concession stand sales stay the same

• As the number of movie tickets sold increases, the concession stand sales go up and down

Tags

CCSS.HSS.ID.B.5

The correlation coefficient of this data is about r= -0.86

Interpret it in context.

• There is a weak linear relationship. As the screen time increases, the fitness tends to decrease.

• There is a weak linear relationship. As the screen time increases, the fitness tends to increase.

• There is a strong linear relationship. As the screen time increases, the fitness tends to decrease.

• There is a strong linear relationship. As the screen time increases, the fitness tends to increase.

Tags

CCSS.HSS.ID.C.8