Question

which of the following graphs shows a positive linear relationship with a correlation coefficient, r, close to 1?

Explanation:

Step1: Understand positive linear relationship

A positive linear relationship means as one variable increases, the other increases. Points tend to form an upward - sloping pattern.

Step2: Analyze each graph

Graph A has no clear pattern. Graph B has a downward - sloping pattern (negative relationship). Graph C has an upward - sloping pattern where points are closely clustered, indicating a strong positive linear relationship with $r$ close to 1. Graph D has no clear linear pattern.

Answer:

C. Graph C