If the least-squares regression line is $y = - 2 x + 17$ then what is the residual for the point (10, 5)?
A)-3
B) 3
C) 8
D)-8

Question

Quizplus · Accepted Answer

The residual is the difference between the observed value and the value predicted by the regression line. For the point (10, 5), the predicted value using the regression line $y = -2x + 17$ is $y = -2(10) + 17 = -20 + 17 = -3$. The residual is the observed value minus the predicted value, which is $5 - (-3) = 5 + 3 = 8$.

If the Least-Squares Regression Line Is y=−2x+17y = - 2 x + 17y=−2x+17

If the Least-Squares Regression Line Is $y = - 2 x + 17$