Solution:
Given the scatterplot, the line of best fit is as shown below:
To evaluate the equation of the line of best fit, we use the line equation.
The equation of a line that passes through two points is expressed as
[tex]\begin{gathered} y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1) \\ where \\ (x_1,y_1)\text{ and \lparen x}_2,y_2)\text{ are the points through which the line passes} \end{gathered}[/tex]
From the above scatterplot, the line of best fit passes exactly through the points (5, 50) and (50, 250).
This implies that
[tex]\begin{gathered} x_1=5 \\ y_1=50 \\ x_2=50 \\ y_2=250 \end{gathered}[/tex]
Substituting these values into the line equation, we have
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