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 should approximate the trend of the data points. If the data points show a positive correlation (as \(x\) increases, \(y\) generally increases), the line of best fit should have a positive slope. If it's a negative correlation (\(x\) increases, \(y\) generally decreases), the line has a negative slope. If there's no clear trend, the line may be flat.

Step2: Analyze each graph

• Top - left graph: The data points show an overall upward trend (positive correlation), and the line has a positive slope that seems to balance the points above and below it.
• Top - right graph: The line does not well - represent the trend of the data points. There are more points above the line on the right - hand side.
• Bottom - left graph: The line has a negative slope, but the data points show an upward (positive) trend, so this is incorrect.
• Bottom - right graph: The line is almost flat, but the data points show an upward trend, so this is incorrect.

Answer:

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