Question

which scatterplot shows no correlation?

Explanation:

Step1: Understand correlation in scatter - plots

In a scatter - plot, a positive correlation means as \(x\) increases, \(y\) increases (points trend upwards). A negative correlation means as \(x\) increases, \(y\) decreases (points trend downwards). No correlation means there is no discernible pattern (upward or downward trend) among the points.

Step2: Analyze each scatter - plot

• For the first scatter - plot: There is an upward trend (positive correlation).
• For the second scatter - plot: There is a downward trend (negative correlation).
• For the third scatter - plot: There is an upward trend (positive correlation).
• For the fourth scatter - plot: The points are randomly distributed with no clear upward or downward trend.

Answer:

The fourth scatter - plot.