Question

A scatter plot containing the point (5,9) has the regression equation yˆ=−x−3

.

What is the residual when x = 5?
Question 11 options:


-17


9



17


0

Answer 1

(x,y) = (5,9) is the given point

Use the regression line to find the estimated y value when x = 5
yhat = -x-3
yhat = -5-3 ... plug in x = 5
yhat = -8

Find the difference between y and yhat to get the residual e
e = y-yhat
e = 9-(-8)
e = 9+8
e = 17

Answer: Choice C) 17