Answer
$Σresidual^2=22.40625$
Work Step by Step
Since $ŷ =−3.625x+141.25$
$Σresidual^2=Σ(y_i−ŷ _i)^2=Σ[y_i−(−3.625x_i+141.25)]^2=Σ(y_i+3.625x_i-141.25)^2$
$Σresidual^2=(105+3.625\times10-141.25)^2+(94+3.625\times14-141.25)^2+(82+3.625\times17-141.25)^2+(76+3.625\times18-141.25)^2+(63+3.625\times21-141.25)^2$
$Σresidual^2=22.40625$