Assuming a linear relationship between X and Y,if the coefficient of correlation (r)equals - 0.30, A)there is no correlation. B)the slope (b₁)is negative. C)variable X is larger than variable Y. D)the variance of X is negative.

Question

Quizplus · Accepted Answer

The coefficient of correlation (r) being negative indicates a negative linear relationship between X and Y. A negative slope (b₁) represents a negative relationship, where as X increases, Y decreases. Thus, B is the best choice. A is incorrect, as there is a correlation (albeit a negative one). C is not necessarily true, as there is no information given about the values of X and Y. D is impossible, as variance cannot be negative.

Assuming a Linear Relationship Between X and Y,if the Coefficient