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 sum of the squared vertical distances from the points to the line.

Step2: Analyze the data trend

The data points seem to have a positive linear trend (as x increases, y generally increases). So, we can rule out the graph with a negative - sloped line.

Step3: Evaluate the fit

The line should be as close as possible to most of the data points. The line in the upper - right graph appears to pass through the "center" of the data points better than the other positive - sloped graphs.

Answer:

The upper - right graph shows the line of best fit for the data.