Question

A scatter plot containing the point (5, 29) has the regression equation yˆ=5x+2 . What is the residual e when x = 5? Enter your answer in the box.
e = ?

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Answer 2

Answer:

The residual e=2 when x = 5.

Step-by-step explanation:

A scatter plot containing the point (5, 29), it means the observed value at x=5 it 29.

The given regression equation is

$\hat{y}=5x+2$

Substitute x=5 in the above regression equation, to find the predicted value at x=-5.

$\hat{y}=5(5)+2=25+2=27$

The formula to find the residual value e is

e = Observed value - Predicted value

$e=29-27$

$e=2$

Therefore the residual e=2 when x = 5.