Question

which statement about the scatterplot is true?
the scatterplot does not have a cluster, and the variables are not related.
the scatterplot does not have a cluster, and the variables are related. as x increases, y increases.
the scatterplot has a cluster, and the variables are not related.
the scatterplot has a cluster, and the variables are related. as x increases, y increases.

Explanation:

Step1: Analyze cluster

A cluster in a scatter - plot is a group of points that are close together. In the given scatter - plot, the points are spread out and not grouped closely together, so there is no cluster.

Step2: Analyze relationship

As \(x\) (the horizontal axis) increases, \(y\) (the vertical axis) also shows an increasing trend. The points generally move from the lower left to the upper right of the scatter - plot.

Answer:

The scatterplot does not have a cluster, and the variables are related. As \(x\) increases, \(y\) increases.