Which of the following correctly describe a residual? Check all that apply.

^

A. y- y

B. The difference between the actual value and the predicted value

C. The number of points that fall on the regression line

D. The mean of the x and y values

**Answer:**

A residual is the difference

y−y^

between the observed value, y, of a variable and the corresponding value, y-hat, that is obtained when a model is derived from the observed values of the data.

In the case of the least squares ‘y on x’ regression line, a residual is the vertical distance from a point representing an observed value to the regression line.