Answer
$Σresidual^2=15.303$
(Other answers are possible depending on the initial points chosen.)
Work Step by Step
Since $ŷ =0.933x−5.33$
$Σresidual^2=Σ(y_i-ŷ _i)^2=Σ[y_i-(0.933x_i−5.33)]^2=Σ(y_i-0.933x_i+5.33)^2$
$Σresidual^2=(2-0.933\times5+5.33)^2+(4-0.933\times10+5.33)^2+(7-0.933\times15+5.33)^2+(11-0.933\times20+5.33)^2+(18-0.933\times25+5.33)^2$
$Σresidual^2=15.303$