Question

Which graph shows data whose $r$- value is most likely closest to $1$?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

The explanation for the correct option:

Option (B):

The correlation coefficient or $r$ value is used to calculate how strong the relationship is between the two variables.

The $r$-value is always between $-1\mathrm{to}+1$.

In the second graph, the correlation between the variables is in the positive direction of the graph and all the points of regression are closer to each other. Thus, the option $B$ gives the $r$-value most likely closest to $1$.

The explanation for the incorrect option:

Option (A):

In the first graph, the correlation between the variables is in the negative direction of graph which leads to the negative $r$ value. Thus option (A) is incorrect.

Option (C):

In the third graph, the correlation between the variables is in the negative direction of graph which leads to the negative $r$ value. Thus option (C) is incorrect.

Option (D):

In the fourth graph, there is no correlation between the variables as the points are scattered along the graph. Thus, option (D) is incorrect.

Hence, option B is correct.