Question

naomi drew lines of best fit for two scatter plots, as shown.
which statement describes the placement of the lines naomi drew?
only line a is a well-placed line of best fit.
only line b is a well-placed line of best fit.
both line a and line b are well-placed lines of best fit.
neither line a nor line b is a well-placed line of best fit.

Explanation:

Analyze Line A

In the first scatter plot, almost all the data points lie below Line A. A well-placed line of best fit should pass through the middle of the data points, leaving roughly an equal number of points above and below the line. Therefore, Line A is not well-placed.

Analyze Line B

In the second scatter plot, Line B passes directly through the center of the cluster of data points. There is a balanced distribution of points both above and below the line, and it accurately reflects the overall downward trend of the data. Therefore, Line B is a well-placed line of best fit.

Evaluate the options

Since only Line B is well-placed, we select the option stating "Only line B is a well-placed line of best fit."

Answer:

• Only line A is a well-placed line of best fit.
• Only line B is a well-placed line of best fit. (Correct answer)
• Both line A and line B are well-placed lines of best fit.
• Neither line A nor line B is a well-placed line of best fit.