Question

use the scatter diagrams shown, labeled a through f to solve the problem.
in which scatter diagram is r = 0.01?

Explanation:

Step1: Recall the property of \(r = 0.01\)

When \(r=0.01\), the correlation is very close to \(0\), which means there is almost no linear correlation between the two variables.

Step2: Analyze each scatter - diagram

• Diagram \(a\): Shows a negative linear correlation (points follow a downward - sloping trend).
• Diagram \(b\): Shows a negative linear correlation (points follow a somewhat downward - sloping trend).
• Diagram \(c\): Shows a positive linear correlation (points follow an upward - sloping trend).
• Diagram \(d\): Shows a negative linear correlation (points follow a downward - sloping trend).
• Diagram \(e\): The points are randomly scattered with no clear linear pattern.

Answer:

\(e\)