Question

match the correlation coefficients with the scatterplots shown below.
scatterplot correlation coefficient
scatterplot a ( r=-0.77 )
scatterplot b ( r=0.83 )
scatterplot c ( r=0.64 )
scatterplot d ( r=-0.08 )
scatterplot a
scatterplot b
scatterplot c
scatterplot d

Explanation:

• Scatterplot A: The points show a positive trend. Among the positive \(r\) values (\(r = 0.83\) and \(r=0.64\)), \(r = 0.64\) indicates a moderately - strong positive correlation. The points in Scatterplot A are not as tightly clustered as in a very strong correlation.
• Scatterplot B: The points show a strong positive trend. The value \(r = 0.83\) (close to \(1\)) represents a strong positive correlation.
• Scatterplot C: The points are very scattered. The value \(r=-0.08\) (close to \(0\)) represents a very weak correlation.
• Scatterplot D: The points show a negative trend. The value \(r=-0.77\) (negative and with a magnitude relatively far from \(0\)) represents a moderately - strong negative correlation.

Answer:

Scatterplot A: \(r = 0.64\), Scatterplot B: \(r = 0.83\), Scatterplot C: \(r=-0.08\), Scatterplot D: \(r = - 0.77\)