Question

move the correlation coefficients r around until they match the order of the scatterplots.
show your work here
a ( r = 0.09 )
b ( r = 0.83 )
c ( r = 0.6 )
d ( r = - 0.81 )

Explanation:

Step1: Analyze scatterplot A

Scatterplot A shows a negative correlation. Among the given \( r \) values, \( r=-0.81 \) is negative.

Step2: Analyze scatterplot B

Scatterplot B shows a positive correlation. Among the given \( r \) values, \( r = 0.83 \) is the strongest positive correlation.

Step3: Analyze scatterplot C

Scatterplot C shows a positive correlation. Among the remaining \( r \) values (\( r=0.6 \) and \( r = 0.09 \)), \( r=0.6 \) is a moderate - strength positive correlation.

Step4: Analyze scatterplot D

Scatterplot D shows a very weak correlation. Among the remaining \( r \) values, \( r = 0.09 \) is very close to \( 0 \), indicating a weak correlation.

Answer:

A: \( r=-0.81 \), B: \( r = 0.83 \), C: \( r=0.6 \), D: \( r = 0.09 \)