six scatterplots are shown. suppose regression lines were generated for them, then order their correlation…

six scatterplots are shown. suppose regression lines were generated for them, then order their correlation coefficients from least to greatest. a c, d, b, a, e, f b f, e, d, c, b, a c c, b, d, e, a, f d a, b, c, d, e, f e a, e, f, d, b, c

six scatterplots are shown. suppose regression lines were generated for them, then order their correlation coefficients from least to greatest. a c, d, b, a, e, f b f, e, d, c, b, a c c, b, d, e, a, f d a, b, c, d, e, f e a, e, f, d, b, c

Answer

Answer:

A. C, D, B, A, E, F

Explanation:

Step1: Understand correlation coefficient

The correlation coefficient $r$ ranges from - 1 to 1. A value of -1 is a perfect negative linear - relationship, 1 is a perfect positive linear - relationship, and 0 is no linear relationship.

Step2: Analyze plot C

Plot C has points randomly scattered, so $r\approx0$.

Step3: Analyze plot D

Plot D has a weak positive linear relationship, so $0 < r_D<1$ and $r_D$ is small.

Step4: Analyze plot B

Plot B has a weak negative linear relationship, so $- 1<r_B < 0$ and $|r_B|$ is small.

Step5: Analyze plot A

Plot A has a strong negative linear relationship, so $r_A$ is close to - 1.

Step6: Analyze plot E

Plot E has a moderate positive linear relationship, so $0 < r_E<1$ and $r_E>r_D$.

Step7: Analyze plot F

Plot F has a strong positive linear relationship, so $r_F$ is close to 1.

Step8: Order the correlation coefficients

Based on the above - analysis, the order from least to greatest is C, D, B, A, E, F.