Scatterplot 1

A scatterplot has 14 points.

The horizontal axis is labeled "x" and has values from 30 to 110.

The vertical axis is labeled "y" and has values from 30 to 110.

The points are plotted from approximately (55, 60) up and right to approximately (95, 85).

The points are somewhat scattered.

Scatterplot 2

A scatterplot has 10 points.

The horizontal axis is labeled "x" and has values from 30 to 110.

The vertical axis is labeled "y" and has values from 30 to 110.

The points are plotted from approximately (55, 55) steeply up and right to approximately (70, 90), and then steeply down and right to approximately (85, 60).

The points are somewhat scattered.

Explain why it makes sense to use the least-squares line to summarize the relationship between x and y for one of these data sets but not the other.

Scatterplot 1 seems to show a relationship between x and y, while Scatterplot 2 shows a relationship between the two variables. So it makes sense to use the least squares line to summarize the relationship between x and y for the data set in , but not for the data set in .