In the least squares regression line $\hat { y } = 3 - 2 x$ ,the predicted value of y equals:
A) 1.0 when x = -1.0
B) 2.0 when x = 1.0
C) 2.0 when x = -1.0
D) 1.0 when x = 1.0

Question

Quizplus · Accepted Answer

To find the predicted value of y, we substitute the value of x in the given regression equation. Thus, when x = 1.0, the predicted value of y will be:

$\hat { y } = 3 - 2 x$
$\hat { y } = 3 - 2 (1.0)$
$\hat { y } = 1.0$

Therefore, the answer is D, as the predicted value of y is 1.0 when x = 1.0.

In the Least Squares Regression Line y^=3−2x\hat { y } = 3 - 2 xy^​=3−2x

In the Least Squares Regression Line $\hat { y } = 3 - 2 x$