Answer
$s_e=1.424$
Work Step by Step
$ŷ =−0.0764x+61.3687$
$s_e=\sqrt {\frac{Σ(y_i-ŷ_i)^2}{n-2}}=\sqrt {\frac{[18.982-(−0.0764\times545+61.3687)]^2+[17.967-(−0.0764\times595+61.3687)]^2+[12.218-(−0.0764\times640+61.3687)]^2+[8.612-(−0.0764\times675+61.3687)]^2+[6.680-(−0.0764\times705+61.3687)]^2+[5.150-(−0.0764\times750+61.3687)]^2}{6-2}}=1.424$