Answer
$Σresidual^2=2.34$
(Other values are possible depending on the initial points chosen.)
Work Step by Step
Since $ŷ =1.167x−3.835$
$Σresidual^2=Σ(y_i-ŷ _i)^2=Σ[y_i-(1.167x_i−3.835)]^2=Σ(y_i-1.167x_i+3.835)^2$
$Σresidual^2=(0-1.167\times3+3.835)^2+(2-1.167\times5+3.835)^2+(3-1.167\times7+3.835)^2+(6-1.167\times9+3.835)^2+(9-1.167\times11+3.835)^2$
$Σresidual^2=2.34$