Question

match the correlation coefficients with the scatterplots shown below.
scatterplot correlation coefficient
scatterplot a ( r=-0.02 )
scatterplot b ( r = 0.84 )
scatterplot c ( r = 0.65 )
scatterplot d ( r=-0.72 )
scatterplot a scatterplot b
scatterplot c scatterplot d

Explanation:

• The correlation coefficient \(r = - 0.02\) indicates a very weak negative linear relationship. Scatterplot A has points that are very spread out with no clear linear trend (weak relationship).
• The correlation coefficient \(r=0.84\) indicates a strong positive linear relationship. Scatterplot B has points that follow an upward - sloping trend relatively closely (strong positive).
• The correlation coefficient \(r = 0.65\) indicates a moderate positive linear relationship. Scatterplot C has points that show a less - tight upward - sloping trend compared to \(r = 0.84\) (moderate positive).
• The correlation coefficient \(r=-0.72\) indicates a strong negative linear relationship. Scatterplot D has points that follow a downward - sloping trend relatively closely (strong negative).

Answer:

Scatterplot A: \(r=-0.02\); Scatterplot B: \(r = 0.84\); Scatterplot C: \(r=0.65\); Scatterplot D: \(r=-0.72\)