Question

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

Answer 1

Well, the correlation coefficient is represented by the slope of the line which appears to be close to 2/3 (meaning 2 up, 3 right) therefore the coefficient is (+) and  2 / 3 = approx. 0.667. sooooo. the correlation coefficient is most likely 0.872 

Answer 2

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

Using the function CORREL in the Excel tool, find the correlation coefficient

see the attached table

the correlation coefficient is equal to

$r=0.872373$

therefore

the answer is the option

$0.872$