i. A coefficient of correlation r close to 0 (say, 0.08) shows that the relationship between two variables is quite weak.
Ii) The coefficient of determination is the proportion of the total variation in the dependent variable Y
That is explained or accounted for by its relationship with the independent variable X.
iii. If the coefficient of correlation is -0.90, the coefficient of determination is -0.81.
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) All statements are false

Question

i. A coefficient of correlation r close to 0 (say, 0.08) shows that the relationship between two variables is quite weak.
Ii) The coefficient of determination is the proportion of the total variation in the dependent variable Y
That is explained or accounted for by its relationship with the independent variable X. 
iii. If the coefficient of correlation is -0.90, the coefficient of determination is -0.81.
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) All statements are false

Quizplus · Accepted Answer

Statement (i) is correct because a correlation coefficient close to 0 indicates a weak relationship. Statement (ii) is correct as the coefficient of determination (R²) represents the proportion of variance in the dependent variable explained by the independent variable. Statement (iii) is incorrect because the coefficient of determination is the square of the correlation coefficient, so it should be 0.81, not -0.81.

I a Coefficient of Correlation R Close to 0 (Say