Answer (B) is correct . The coefficient of correlation, r, measures the strength of the linear relationship. The magnitude of r is independent of the scales of measurement of X and Y. Its range is –1.0 to 1.0. A value of –1.0 indicates a perfectly inverse linear relationship between X and Y. A value of zero indicates no linear relationship between X and Y. A value of +1.0 indicates a perfectly direct relationship between X and Y. As X increases by 1, Y consistently decreases by 2. Hence, a perfectly inverse relationship exists, and r must be equal to –1.0.
Answer (A) is incorrect because A perfect negative correlation exists.
Answer (C) is incorrect because An inverse, not a direct, relationship exists.
Answer (D) is incorrect because A linear relationship exists between X and Y.
|
