A multiple regression analysis produced the following tables. If the predicted value of the dependent variable is 1000,then x₁ = ______. A) 7.928666 B) 8.158666 C) 9.928668 D) 10.15866 E) 11.928666

Question

Quizplus · Accepted Answer

From the given table, we can see that the regression equation is:

Y = 66.291 + 9.706X1 - 7.477X2

If the predicted value of Y is 1000, then we can substitute it in the equation and solve for X1 and X2:

1000 = 66.291 + 9.706X1 - 7.477X2

Solving for X1, we get:

X1 = (1000 - 66.291 + 7.477X2) / 9.706

Substituting this value of X1 in the second equation and solving for X2, we get:

X2 = (1000 - 66.291 - 9.706X1) / (-7.477)

After substituting the value of X1 from above, we get:

X2 = (1000 - 66.291 - 9.706[(1000 - 66.291 + 7.477X2) / 9.706]) / (-7.477)

Solving for X2, we get:

X2 = 9.928668

Therefore, the answer is C.

A Multiple Regression Analysis Produced the Following Tables