Question

constructing scatterplots
identify if there is a relationship between the variables.
no, there is no relationship because the points are all up and down.
yes, the relationship displayed shows arm span decreasing as height increases.
yes, the relationship displayed shows arm span increasing as height increases.

Explanation:

In a scatter - plot, if the points show an upward trend (as \(x\) - value (height) increases, \(y\) - value (arm span) also increases), there is a positive relationship. If they show a downward trend, there is a negative relationship. If the points are randomly scattered, there is no relationship. Here, as height (\(x\)) increases, arm span (\(y\)) increases.

Answer:

Yes, the relationship displayed shows arm span increasing as height increases.