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 as close as possible to most of the data points.

Step2: Analyze slopes and positions

The data points seem to have a negative correlation (as x increases, y generally decreases). So, we can rule out graphs with positive - sloped lines or horizontal lines.

Step3: Evaluate each graph

The first graph has a negative slope and appears to pass through the "center" of the data points in a way that minimizes the distance from the points to the line. The second graph has a horizontal line which does not capture the trend. The third graph has a positive slope which is incorrect for the given data trend. The fourth graph, although has a negative slope, does not seem to fit the data as well as the first graph.

Answer:

The first graph (top - left graph)