Answer
$s_e=0.1121$
Work Step by Step
$ŷ =0.05753x+0.2088$
$s_e=\sqrt {\frac{Σ(y_i-ŷ_i)^2}{n-2}}=\sqrt {\frac{[0.4-(0.05753\times5+0.2088)]^2+[1.1-(0.05753\times16+0.2088)]^2+[1.7-(0.05753\times24+0.2088)]^2+[1.4-(0.05753\times24+0.2088)]^2+[0.5-(0.05753\times8+0.2088)]^2+[0.8-(0.05753\times9+0.2088)]^2+[0.8-(0.05753\times9+0.2088)]^2+[1.5-(0.05753\times24+0.2088)]^2+[1.2-(0.05753\times15+0.2088)]^2+[1.3-(0.05753\times18+0.2088)]^2+[1.3-(0.05753\times17+0.2088)]^2+[0.5-(0.05753\times5+0.2088)]^2+[0.8-(0.05753\times10+0.2088)]^2}{13-2}}=0.1121$
