Question

Which of the following is the equation of the line of best fit?A. Y= 50/3xB. Y= 20/3xC. Y=2/3x D. Y=5/3x

Answer 1

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,

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

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

`\begin{gathered} y-50=(100-50)/(6-3)(x-3) \\ y-50=(50)/(3)(x-3) \\ y=(50)/(3)x-(50)/(3)\cdot3+50 \\ y=(50)/(3)x \end{gathered}`

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

Option A is correct answer.