Answer
$Σresidual^2=32.4$
(Other answers are possible depending on the initial points chosen.)
Work Step by Step
Since $ŷ =−0.72x+116.6$
$Σresidual^2=Σ(y_i-ŷ _i)^2=Σ[y_i-(−0.72x_i+116.6)]^2=Σ(y_i+0.72x_i-116.6)^2$
$Σresidual^2=(100+0.72\times20-116.6)^2+(95+0.72\times30-116.6)^2+(91+0.72\times40-116.6)^2+(83+0.72\times50-116.6)^2+(70+0.72\times60-116.6)^2$
$Σresidual^2=32.4$