Question

Which linear equation BEST represents the line of best fit for the scatterplot?

A) y = 3x
B) y = - 3x
C) y = 1/3x
D) y = - 1/3x

Answer 1

it is D. it has a negative slope and is not as steep as -3

Answer 2

option: D is true.

Explanation:

The linear equation that Best describes or represents the line of best fit of the scatter plot is:

y=-3x.

Since clearly from the graph if we consider a line of best fit as a line passing through (0,0) and (-3,1).

Then we find the equation of line passing through these two points.

The equation of line passing through (a,b) and (c,d) is given by:

`y-b=(d-b)/(b-a)* (x-a)`

Here we have:

(a,b)=(0,0) and (c,d)=(-3,1)

The equation of line is:

`y-0=(1-0)/(-3-0)* (x-0)\\\\y=(-1)/(3)x`

Hence, the linear equation BEST represents the line of best fit for the scatterplot is:

`y=(-1)/(3) x`

Hence, option D is true.