Question

the linear regression equation for a data set is y = 3.2x - 1.2. the actual value at x = 4 is 14. what is the residual value at x=4? residual: <square>

Explanation:

Step1: Calculate predicted value

Substitute $x = 4$ into $y = 3.2x-1.2$. So $y_{predicted}=3.2\times4 - 1.2$.
$y_{predicted}=12.8 - 1.2=11.6$.

Step2: Calculate residual

Residual = Actual - Predicted. Given actual value $y_{actual}=14$.
Residual $=14 - 11.6 = 2.4$.

Answer:

$2.4$