Question

Which is most likely the correlation coefficient for the set of data shown?

Answer 1

we know that

The correlation coefficient is a number between $-1$ and $+1$ that represent the linear dependence of two variables or sets of data

Let

$A(1,4)\ B(2,1.5)\ C(3,3)\ D(4,4)\ E(5,2)$

Using the function CORREL in a Excel tool

Find the correlation coefficient for the set of data

see the attached table

the correlation coefficient is  $r=-0.20801$

therefore

the answer is the option B

$-0.21$

Answer 2

Slope is negative with a slight gradient so = -0.21