i. A coefficient of correlation r close to 0 (say, 0.08) shows that the relationship between two variables is quite weak.
Ii) A coefficient of correlation of -0.96 indicates a very weak negative correlation.
iii. The coefficient of determination can only be positive.
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) A coefficient of correlation of -0.96 indicates a very weak negative correlation. 
iii. The coefficient of determination can only be positive.
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 (iii) is correct because the coefficient of determination, being the square of the correlation coefficient, is always non-negative. Statement (ii) is incorrect because a correlation of -0.96 indicates a very strong negative correlation, not a weak one.

I a Coefficient of Correlation R Close to 0 (Say