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 is negative.
C)variable X is larger than variable Y.
D)the variance of X is negative.

Question

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 is negative. 
C)variable X is larger than variable Y. 
D)the variance of X is negative.

Quizplus · Accepted Answer

A negative coefficient of correlation (r) indicates a negative relationship between X and Y. Therefore, as X increases, Y decreases. This corresponds to a negative slope (choice B) in a linear relationship between X and Y. A negative coefficient of correlation (r) indicates a negative linear relationship between X and Y. Therefore, the slope of the line (11ebc114_129f_2bc4_8acb_a52c69e40cdf_TB8562_11) will be negative. Option A is incorrect because there is a correlation, just a negative one. Option C and D are not related to the given information and are therefore incorrect.

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