Question

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

Explanation:

Step1: Understand the concept of line of best fit

The line of best fit is a straight line that best represents the data on a scatter plot. It should pass through the middle of the data points, with approximately equal number of points on either side of the line.

Step2: Analyze each graph

• Top - left graph: The line does not seem to be in the middle of the data points. There are more points on one side in some regions.
• Top - right graph: The line is almost horizontal and does not capture the trend (if any) of the data points well.
• Bottom - left graph: The line is positioned such that it passes through the middle of the data points. There is a relatively even distribution of points on either side of the line across the range of \(x\) - values.
• Bottom - right graph: The line is too steep and does not represent the overall pattern of the data points as well as the bottom - left graph.

Answer:

The bottom - left graph shows the line of best fit for the data.