Answer :

The best fit line passes through the point (3,50) and (6,100).

The euation of line passing through point (x_1,y_1) and (x_2,y_2) is,

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Determine the equation of line passing through point (3,50) and (6,100).

[tex]\begin{gathered} y-50=\frac{100-50}{6-3}(x-3) \\ y-50=\frac{50}{3}(x-3) \\ y=\frac{50}{3}x-\frac{50}{3}\cdot3+50 \\ y=\frac{50}{3}x \end{gathered}[/tex]

So equation of best fit line is y = 50/3x.

Option A is correct answer.

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