which of the following do not describe a residual? check all that apply.
A. the difference between the actual value and the predicted value
B. the number of points that fall on the regression line
C.y-y
D. the mean of the x and y values

Question

which of the following do not describe a residual? check all that apply.
A. the difference between the actual value and the predicted value
B. the number of points that fall on the regression line
C.y-y
D. the mean of the x and y values

anonymous · Answer

Please help guys.

kropot72 · Answer

A residual is the difference
$$y-\hat{y}$$
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 that is plotted on a scatter diagram.
|dw:1373360357986:dw|
The diagram above shows residuals R1, R2 and R3 from the 'y on x' regression line.
Therefore choices A, B and D do not describe a residual.