Which of the following graphs shows a negative linear relationship with a correlation coefficient

Answer : Graph D

Question says negative linear relationship. It means the slope is negative.

Option A and C have positive slope because the dots on graph goes up.

So we ignore A and C graph

B and D graphs have negative slope.

Given Correlation coefficient r is close to -0.5

In Graph B the dots are close to one another . It means the correlation coefficient r is close to - 1

Graph D shows a negative linear relationship with a correlation coefficient r close to =-0.5

the perimeter is increased by a factor of 2