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, showing the general trend.

Step2: Analyze each graph

• First graph: The line passes through the middle of the data points, showing an upward trend which seems to fit the data distribution.
• Second graph: The line has a downward trend, but the data points overall seem to have an upward trend (as seen from left - to - right, more points are higher as \(x\) increases), so this is not a good fit.
• Third graph: The line is too steep. It does not pass through the middle of the data points in a way that represents the general trend.
• Fourth graph: The line is too flat. It does not capture the upward trend of the data points as well as the first graph.

Answer:

The first graph.