Given the following information, calculate the

Solution

13. To calculate the residual, we need to compare the observed value of y with the predicted value of y from the fitted equation. Given: · Fitted Equation: y^=3+2x · Observed Values: y=14 and x=4 Step 1: Calculate the predicted value of y (y^) using the fitted equation and the observed x-value. Substitute x=4 into the fitted equation: y^=3+2(4) y^ =3+8 y^=11 Step 2: Calculate the residual. The residual is defined as the observed value minus the predicted value: Residual = y−y^ Residual = 14−11 Residual = 3 Therefore, the residual is 3.