Question

which graph shows the line of best fit for the data?

Explanation:

Step1: Recall line - of - best - fit concept

The line of best fit is a straight line that best represents the data on a scatter - plot. It should pass through the "center" of the data points, minimizing the overall distance between the points and the line.

Step2: Analyze each graph

In the first graph, the line is too steep and does not seem to represent the general trend of the data well. In the second graph, the line appears to be a good fit as it passes through the approximate center of the data points and represents the general downward - sloping trend of the data. In the third graph, the line has an upward slope while the data seems to have a downward trend. In the fourth graph, although it has a downward slope, it does not pass through the center of the data as well as the second graph.

Answer:

The second graph (from the top - right among the four graphs) shows the line of best fit for the data.