i. A coefficient of correlation close to 0 (say, 0.08) shows that the relationship between two variables is quite weak. ii. Coefficients of -0.91 and +0.91 have equal strength.
iii. If the coefficient of correlation is 0.68, the coefficient of determination is 0.4624.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

All three statements are correct. A coefficient of correlation close to 0 indicates a weak relationship between two variables. Coefficients of -0.91 and +0.91 indeed have equal strength, as the strength of the relationship is indicated by the absolute value of the coefficient. Lastly, the coefficient of determination is found by squaring the coefficient of correlation (0.68^2 = 0.4624), indicating the proportion of the variance in the dependent variable that is predictable from the independent variable.

I a Coefficient of Correlation Close to 0 (Say, 0