Answer
$s_{b_1}=0.03658$
Work Step by Step
$s_e=0.5102$ (item (b))
To find $s_x$:
In MINITAB, enter the Row Chosen values in C1.
Select Stat -> Basic Statistics -> Display Descriptive Statistics
In Variables enter C1 and click in Statistics.
Select "Standard deviation". Click OK.
Click Ok.
$s_x=2.293$
$s_{b_1}=\frac{s_e}{\sqrt {∑(x_i-x ̅)^2}}=\frac{s_e}{\sqrt {n-1}s_x}$ (see note on page 684)
$s_{b_1}=\frac{0.5102}{\sqrt {38-1}\times2.293}=0.03658$
