Answer
$s_e=9.375$
Work Step by Step
$ŷ =−0.0146x+17.9$
$s_e=\sqrt {\frac{Σ(y_i-ŷ_i)^2}{n-2}}=\sqrt {\frac{[10-(−0.0146\times180+17.9)]^2+[18-(−0.0146\times200+17.9)]^2+[14-(−0.0146\times210+17.9)]^2+[20-(−0.0146\times220+17.9)]^2+[0-(−0.0146\times220+17.9)]^2+[28-(−0.0146\times230+17.9)]^2+[2-(−0.0146\times240+17.9)]^2+[20-(−0.0146\times270+17.9)]^2+[2-(−0.0146\times320+17.9)]^2+[10-(−0.0146\times110+17.9)]^2+[12-(−0.0146\times180+17.9)]^2+[22-(−0.0146\times200+17.9)]^2+[24-(−0.0146\times220+17.9)]^2+[24-(−0.0146\times230+17.9)]^2}{14-2}}=9.375$
