In a regression the following pairs of (x, y) are given: (4, 1), (4, -1), (4, 0), (4, -2) and (4, 2). Which of the following statements may be deduced from the given information?
A) The correlation coefficient is -1.
B) The correlation coefficient is 0.
C) The correlation coefficient is 1.
D) The coefficient of determination is between -2 and 2.

Question

Quizplus · Accepted Answer

Since all the given values of x are the same, this suggests that there is no linear relationship between x and y. Therefore, the correlation coefficient is 0. However, we cannot determine the coefficient of determination from this information.

In a Regression the Following Pairs of (X, Y) Are