Calculating the Correlation Coefficient

Estimate the correlation coefficient for this scatterplot.

• r = 1.2

• r = 0.89

• r = 0

• r = -0.89

Estimate the correlation coefficient for this scatterplot.

• r = -0.9

• r = 1

• r = 0.9

• r = -1

• Positive, strong
• Positive, weak
• Negative, strong
• Negative, weak

Estimate the correlation coefficient

• r = 1

• r = -1

• r ≈ -0.8

• r ≈ 0.8

• r ≈ -0.5

To convince his students to slow down, Coach Logan tracks the typing speed and the number of errors made from a few of his students. Calculate the correlation coefficient, r, of the data set. Round to THREE decimal places.

Mathematical Equivalence

ON

Determine the correlation coefficient of the given data.

• - .5477

• .1770

• .8956

• - .9463

What is the purpose of calculating the correlation coefficient?

• To determine the slope of the regression line.

• To measure the strength and direction of the linear relationship between two variables.

• To find the y-intercept of the regression line.

• To identify outliers in the data.

To convince his students to slow down, Coach Logan tracks the typing speed and the number of errors made from a few of his students. Calculate the correlation coefficient, r, of the data set. Round to THREE decimal places.

Mathematical Equivalence

ON

• There is a perfect positive relationship.

• There is a perfect negative relationship.

• There is no linear relationship.

• The variables are inversely proportional.

As shown in the table, a person's target heart rate during exercise changes as the person gets older. Find the correlation coefficient (r).

• -0.999

• -0.664

• 0.998

• 1.503