The equation for the regression line is \widehat{y}= a+bx

We can determine the slope from b=r\left(\ \frac{s_y}{s_x}\right)

Plugging in the values of r, s_{y} and s_{x} from the table

b = 0.81 \Big(\frac {177.6}{14.8}\Big)

b = 9.72

Plugging the values of b , \overline{x}, \overline{y}

a = \overline{y}-b\overline{x} = 696 - 9.72 \times 75.8 = -40.776

So, the equation for the regression line is

\widehat{y} = -40.78 + 9.72 x (after rounding off to the nearest hundredths)

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