Question

Look at the data graphed on the scatter plot below.

A scatter plot is shown with data points showing a strong positive relationship. The x-values of the data points extend from 0 to 8, and the y-values of the data points extend from 1 to 6.
Which graph shows the line of best fit for the data?

A.
A scatter plot is shown with data points showing a strong positive relationship. The x-values of the data points extend from 0 to 8, and the y-values of the data points extend from 1 to 6.The line of best fit passes through the points (1.5, 2) and (5, 4.5)

B.
A scatter plot is shown with data points showing a strong positive relationship. The x-values of the data points extend from 0 to 8, and the y-values of the data points extend from 1 to 6.The line of best fit passes through the points (1, 1) and (1.5, 1.5).

C.
A scatter plot is shown with data points showing a strong positive relationship. The x-values of the data points extend from 0 to 8, and the y-values of the data points extend from 1 to 6.The line of best fit passes through the points (2, 1) and (4, 4).

D.
A scatter plot is shown with data points showing a strong positive relationship. The x-values of the data points extend from 0 to 8, and the y-values of the data points extend from 1 to 6.The line of best fit passes through the points (1.5, 3.2) and (2, 3.5).

Answer 1

A

Reason: A has a moderate positive slope. Slope = (4.5−2)/(5−1.5)=2.5/3.5≈0.714 and y‑intercept ≈0.93, so the line runs through the middle of the cloud from y≈1 up toward y≈6. The other choices have slopes or intercepts that are clearly too large or too low to fit the given scatter.