Question

Suppose we have used the ordinary least squares to estimate a regression line. Now, to calculate the residual for the i^th observation x_i, we do not need one of the followings:

Select one:

A.the standard error of the estimated slope.

B.the estimated slope.

C.the estimated intercept.

D.the actual value of y_i.

Answer 1

Solution:

Residual is the difference between actual value y_i and its estimated value .

Thus from options , D. the actual value of y_i   is required.

Now to estimate , we need regression equation and it is given by:

where b0 is estimated intercept and b1 is estimated slope.

thus option B and C are also required to find residual.

Thus remaining option A) the standard error of the estimated slope does not need to find residual.

Thus correct option is: A) the standard error of the estimated slope does not need to find residual.