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 positive correlation

In a positive correlation, as one variable increases, the other variable also tends to increase. Looking at the scatter - plot, as the \(x\) - values (horizontal axis) increase from left to right, the \(y\) - values (vertical axis) generally tend to increase.

Step2: Analyze negative correlation

For a negative correlation, as one variable increases, the other decreases. But in our plot, this is not the case.

Step3: Analyze no - correlation

If there was no correlation, the points would be randomly scattered with no upward or downward trend. Here, there is an upward trend.

Step4: Analyze need for more points

Although more points can make the correlation more conclusive, the existing points already show a clear upward (positive) trend.

Answer:

There is a positive correlation in the data set.