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 be positioned such that the sum of the vertical distances from the data points to the line is minimized.

Step2: Analyze the scatter - plot data trends

Looking at the scatter - plot of the green data points, we can observe that as the x - values increase, the y - values generally decrease. This indicates a negative correlation.

Step3: Evaluate each graph

The first graph has a steep negative slope and seems to pass through the general trend of the data points. The second graph has a positive slope which does not match the data trend. The third graph has a very small positive slope and does not follow the overall downward trend of the data. The fourth graph has a negative slope but is not as well - aligned with the data points as the first graph.

Answer:

The first graph (top - left) shows the line of best fit for the data.