Practice Correlation in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Correlation measures the strength and direction of the linear relationship between two quantitative variables, ranging from -1 to +1.
Do two things go up and down together? r = +1 means perfectly together, r = -1 means perfectly opposite.
Example 1
mediumGiven five data points (1,2), (2,4), (3,5), (4,4), (5,5), compute the Pearson correlation coefficient r.
Example 2
easyA study finds r = -0.85 between hours of TV watched per day and exam scores. Interpret this value.
Example 3
mediumIf r = 0.92, what is the coefficient of determination r^2, and what does it mean?
Example 4
easyA study finds a correlation coefficient of r = 0.88 between height and arm span. Describe the direction and strength of the linear relationship.