i. If there is absolutely no relationship between two variables, what will Pearson's r equal? ii. If the coefficient of correlation is 0.80, what is the coefficient of determination?
iii. If the coefficient of determination is 0.81, what is the coefficient of correlation?
A) zero (0); 0.64; 0.9 or -0.9.
B) zero (0); 0.64; 0.09.
C) one (1); 0.64; 0.6561.
D) one (1); 0.64; 0.9 or -0.9.
E) zero (0); 0.8944; 0.6561.

Question

Quizplus · Accepted Answer

i. If there is absolutely no relationship between two variables, Pearson's r will be equal to zero (0). 
ii. The coefficient of determination is the square of the coefficient of correlation, so if the coefficient of correlation is 0.80, the coefficient of determination will be 0.64 (0.80^2 = 0.64). 
iii. The coefficient of correlation is the square root of the coefficient of determination, so if the coefficient of determination is 0.81, the coefficient of correlation will be 0.9 or -0.9 (square root of 0.81 is 0.9 or -0.9).

I If There Is Absolutely No Relationship Between Two Variables