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

The answer is below

Explanation:

Answer 2

The residual e=2 when x = 5.

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.