Question

Which equation best represents the line of best fit for thescatterplot?

Answer 1

It is observed that the mean line of the data should pass through the points (3,3), (2,4), (1,5), (0,6), (-1,7).

Consider that the equation of a line passing through two given points is given by,

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

So the equation of the best fit line passing through (3,3) and (0,6) will be,

`\begin{gathered} y-3=(6-3)/(0-3)(x-3) \\ y-3=(3)/(-3)(x-3) \\ y-3=-(x-3) \\ y-3=-x+3 \\ y=-x+6 \end{gathered}`

Thus, option C is the correct choice.