Answer:
Top-right graph
Step-by-step explanation:
A scatter plot is a type of graph that displays individual data points to show the relationship between two variables.
The line of best fit is a straight line drawn through the data points that best represents the overall direction and pattern of the data, minimizing the distances between the points and the line.
The general trend of the plotted data points shows that as the independent variable M increases, the dependent variable N decreases, so the line of best fit would have a negative slope. Therefore, we can immediately discount the two answer options that have positive slopes.
In the bottom-left graph, the line of best fit fails to minimize the distances between the points and the line. It is positioned at the bottom of the data points, with all data points lying above it. Therefore, it is not an appropriate linear model for the data.
Conversely, in the top-right graph, the line is centrally located among the data points, effectively minimizing the distances between the points and the line.
Therefore, the graph that shows the most appropriate line of best fit for the data is the top-right graph.
