Question

9
which of the following statements are true?
select all that apply.
(select all that apply.)

both the orange and the green scatter plots de
positive correlation

the orange scatter plot shows a positive corre
green scatter plot shows a negative correlation

the orange scatter plot has a greater correlatio
than the green scatter plot

the green scatter plot has a greater correlatio
than the green scatter plot

Explanation:

Step1: Analyze correlation type

For the orange scatter plot, as \(x\) - values increase, \(y\) - values also increase, so it has a positive correlation. For the green scatter plot, as \(x\) - values increase, \(y\) - values decrease, so it has a negative correlation. So the first option (Both the orange and the green scatter plots de positive correlation) is false, and the second option (The orange scatter plot shows a positive corre green scatter plot shows a negative correlation) is true.

Step2: Analyze correlation strength

The orange scatter - plot points are more closely clustered around an imaginary line (indicating a stronger linear relationship), while the green scatter - plot points are more spread out. So the orange scatter plot has a greater correlation than the green scatter plot. The third option (The orange scatter plot has a greater correlati than the green scatter plot) is true, and the fourth option (The green scatter plot has a greater correlatio than the green scatter plot) is false.

Answer:

The orange scatter plot shows a positive corre green scatter plot shows a negative correlation; The orange scatter plot has a greater correlati than the green scatter plot