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 demonstrate a
positive correlation
the orange scatter plot shows a positive correlation and the
green scatter plot shows a negative correlation
the orange scatter plot has a greater correlation coefficient
than the green scatter plot
the green scatter plot has a greater correlation coefficient
than the green scatter plot

Explanation:

Step1: Analyze correlation type

Positive correlation: as \(x\) increases, \(y\) increases. Negative correlation: as \(x\) increases, \(y\) decreases.
For the orange scatter - plot, as \(x\) increases, \(y\) increases. So it has a positive correlation.
For the green scatter - plot, as \(x\) increases, \(y\) has no clear increasing or decreasing trend. So the statement “The orange scatter plot shows a positive correlation and the green scatter plot shows a negative correlation” is wrong.
The closer the points are to a straight line, the stronger the correlation. The orange scatter - plot points are closer to a straight - line pattern than the green scatter - plot points.

Answer:

The orange scatter plot has a greater correlation coefficient than the green scatter plot.