Question

there is a positive correlation in the data set. there is a negative correlation in the data set. there is no correlation in the data set. more points are needed to determine the correlation.

Explanation:

Step1: Analyze the scatter - plot trend

In a scatter - plot, if as \(x\) (horizontal axis) increases, \(y\) (vertical axis) also tends to increase, there is a positive correlation. If \(x\) increases and \(y\) decreases, there is a negative correlation. If there is no clear pattern, there is no correlation.
Looking at the given scatter - plot, as \(x\) values increase from left to right (e.g., from \(x = 1\) to \(x=5\)), the \(y\) values also tend to increase (e.g., from \(y = 2\) to \(y = 6\) in general).

Answer:

There is a positive correlation in the data set.