The value of a car is explained by a linear relationship with the age of the car. The correlation coefficient, r, is 0.397. About 16% of the variation in the value of the car is explained by a linear relationship with the age of the car. The coefficient of determination was r=0.158. When researchers looked at the association of x and y, they found that about 84% of the variation in the value of a car, y, is explained by a linear relationship with the age of the car, x.