Answer
$Σresidual^2=9.1$
(Other answers are possible depending on the initial points chosen.)
Work Step by Step
Since $ŷ =0.780x−3.3$
$Σresidual^2=Σ(y_i-ŷ _i)^2=Σ[y_i-(0.780x_i−3.3)]^2=Σ(y_i-0.780x_i+3.3)^2$
$Σresidual^2=(2-0.78\times5+3.3)^2+(4-0.78\times10+3.3)^2+(7-0.78\times15+3.3)^2+(11-0.78\times20+3.3)^2+(18-0.78\times25+3.3)^2$
$Σresidual^2=9.1$