On the least squares regression line Estimated y= 2 - 3x, the predicted value of y equals:
A)-1.0 when x = -1.0.
B)1.0 when x = 1.0.
C)5.0 when x = -1.0.
D)5.0 when x = 1.0.

Question

Quizplus · Accepted Answer

For the given least squares regression line equation $ \hat{y} = 2 - 3x $, to find the predicted value of $ y $ for a given $ x $, we substitute the value of $ x $ into the equation. For choice C, when $ x = -1.0 $, $ \hat{y} = 2 - 3(-1) = 2 + 3 = 5.0 $, which matches the prediction.

On the Least Squares Regression Line Estimated Y= 2 -