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 minimizes the sum of the squared vertical distances between the data points and the line. It should pass through the "center" of the data cloud.

Step2: Visually inspect the graphs

Look for a line that has approximately equal number of data points above and below it, and follows the general trend of the data.

Step3: Analyze each graph

In the first graph, the line seems to be a bit too high for some of the lower - value data points. In the second graph, the line does not seem to capture the overall upward trend well. In the third graph, the line is a good representation as it passes through the middle of the data points and follows the upward trend. In the fourth graph, the line is too low for some of the higher - value data points.

Answer:

The third graph (from the top - left, in reading order) shows the line of best fit for the data.