Answer: 0.393
Explanation: If the given quantities are r-value (or Pearson's coefficient) and the standard deviations of x and y coordinates, we'll use the following formula for slope:
[tex]m = \frac{rs_y}{s_x}
[/tex]
where:
m = slope of the best fit line
r = r-value = 0.793
[tex]s_x[/tex] = standard deviation of x-coordinates = 5.591
[tex]s_y[/tex] = standard deviation of y-coordinates = 2.772
So, the slope is calculated as follows:
[tex]m = \frac{rs_y}{s_x}
\\ = \frac{(0.793)(2.772)}{5.591}
\\ \boxed{m \approx 0.393}[/tex]
Hence, the slope in 3 decimal places is 0.393.
