Question

Or the data set shown in the scatterplot, what is the BEST approximation of the slope for the line of best fit?

A) 1.2
B) 2.5
C) 4.2
D) 5..5

Answer 1

Option B.

Explanation:

From the given graph it is clear that the coordinate of data points are (10,50), (20,100), (30,125), (40,150), (50,150) and (60, 175).

We need to find the BEST approximation of the slope for the line of best fit.

If a line passes through two points
`(x_1,y_1)` and
`(x_2,y_2)`, then the slope of the line is

`m=(y_2-y_1)/(x_2-x_1)`

Choose first and last point to find the approximate slope for the line of best fit.

Let as consider the line of best fit passes through the points (10,50) and (60,175).

`m=(175-50)/(60-10)`

`m=(125)/(50)`

`m=2.5`

The approximate slope for the line of best fit is 2.5.

Therefore, the correct option is B.