Question

each of the following graphs show the relationship between two variables. estimate (r) for each graph. answer bank r = 0.9 r = 0.0 r = -0.8 r = -0.99 r = 0.4

Explanation:

Step1: Analyze first scatter - plot

The first scatter - plot has points randomly scattered with no clear linear pattern. So, the correlation coefficient $r$ is close to 0.

Step2: Analyze second scatter - plot

The second scatter - plot shows a strong negative linear relationship. The points lie very close to a straight - line with a negative slope. So, $r$ is close to - 0.99.

Step3: Analyze third scatter - plot

The third scatter - plot has points that are somewhat scattered but show a weak positive linear trend. So, $r$ is around 0.4.

Step4: Analyze fourth scatter - plot

The fourth scatter - plot shows a non - linear (U - shaped) relationship. Since the correlation coefficient $r$ measures linear relationships only, for this non - linear case, $r$ is close to 0.

Answer:

First graph: $r = 0.0$
Second graph: $r=-0.99$
Third graph: $r = 0.4$
Fourth graph: $r = 0.0$