Answer to Question #269404 in Statistics and Probability for Alex

Question

The linear regression equation for a data set is ˆy = − 4.1 + 1.6x. The actual value at  x = 4 is 5.6. What is the residual value at x=4?

residual:

Answer 1

The difference between the observed data value and the predicted value (the value on the straight line) is the error or residual.

$$y(4)=-4.1+1.6(4)=2.3$$

$$residual = observed – predicted$$

$$=5.6-2.3=3.3$$

The residual value at $x=4$ is $3.3.$