Question

which graph shows the line of best fit for the data? (four graphs with scatter plots and lines are shown, along with a submit button and work it out section)

Explanation:

Step1: Recall Line of Best Fit

A line of best fit should roughly balance the number of data points above and below it, and follow the general trend of the data (here, a negative correlation as \( x \) increases, \( y \) decreases).

Step2: Analyze Each Graph

• Top - Left: The line is too steep, and most points are below/above in an unbalanced way.
• Top - Right: The line starts at \( (0,12) \) and ends at \( (10,0) \), but the upper data points are far from the line.
• Bottom - Left: The line is too steep and misaligned with the trend of upper points.
• Bottom - Right: The line follows the negative trend, with data points relatively balanced above and below, matching the general decrease of \( y \) with \( x \).

Answer:

The Bottom - Right Graph