Suppose that the sample regression equation of a second-order model is given by .Then,the value 4.60 is the:
A)predicted value of y for any positive value of x.
B)predicted value of y when x = 2.
C)estimated change in y when x increases by 1 unit .
D)intercept where the response surface strikes the x-axis.

Question

Suppose that the sample regression equation of a second-order model is given by  .Then,the value 4.60 is the:
A)predicted value of y for any positive value of x. 
B)predicted value of y when x = 2. 
C)estimated change in y when x increases by 1 unit . 
D)intercept where the response surface strikes the x-axis.

Quizplus · Accepted Answer

The sample regression equation predicts the value of y for a given value of x. Therefore, option A is incorrect. 
The value 4.60 is not the estimated change in y when x increases by 1 unit. Therefore, option C is incorrect. 
The intercept where the response surface strikes the x-axis is the value of y when x=0. However, there is no information given about this in the given regression equation. Therefore, option D is incorrect. 
The best choice is option B as it is the predicted value of y when x=2 as given in the regression equation.

Suppose That the Sample Regression Equation of a Second-Order Model