Question

look at the scatterplot graph. what is the relationship between variable x and variable y? as variable x increases, variable y increases. as variable x increases, variable y decreases. both variables show a trend toward decreasing values. no distinct relationship exists between variables x and y.

Explanation:

A scatter - plot shows the relationship between two variables. In a positive relationship, as \(x\) increases, \(y\) increases. In a negative relationship, as \(x\) increases, \(y\) decreases. If there is no pattern (the points are randomly scattered), there is no distinct relationship. Looking at the given scatter - plot, the points are randomly distributed. There is no clear upward or downward trend.

Answer:

No distinct relationship exists between variables \(x\) and \(y\).