Which of the following equation corresponds to the line of best fit for the data set shown above ?

Options

A. `y =0.4x-1`
B. `y=0.4x+1`
C. `y=2.5x+1`
D. `y=2.5x-1`

Answer

D

Explanation

Knowing where the y-intercept of the line of best fit falls will help you eliminate answer choices. Because the line of best fit intersects the y-axis below the x-axis, you know that the y-intercept is negative, so eliminate (B) and (C ) (the y-intercept is +1 for each of those lines). Now look at the slope. The line rises along the y-axis much faster than it runs along the x-axis, so the slope must be greater than 1, making (D) correct.