Answer
$Σresidual^2=16.28$
Work Step by Step
Since $ŷ =−3.84x+145.48$
$Σresidual^2=Σ(y_i−ŷ _i)^2=Σ[y_i−(−3.84x_i+145.48)]^2=Σ(y_i+3.84x_i-145.48)^2$
$Σresidual^2=(105+3.84\times10-145.48)^2+(94+3.84\times14-145.48)^2+(82+3.84\times17-145.48)^2+(76+3.84\times18-145.48)^2+(63+3.84\times21-145.48)^2$
$Σresidual^2=16.28$