i. The coefficient of determination can only be positive.
ii. If the coefficient of correlation is 0.68, the coefficient of determination is 0.4624.
iii. The standard error of estimate measures the accuracy of our prediction.
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. The coefficient of determination can only be positive. 
ii. If the coefficient of correlation is 0.68, the coefficient of determination is 0.4624. 
iii. The standard error of estimate measures the accuracy of our prediction.
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

i. The coefficient of determination is always positive because it is the square of the correlation coefficient, which is always between -1 and 1.ii. The coefficient of determination is the square of the correlation coefficient, so if the correlation coefficient is 0.68, the coefficient of determination is 0.68^2 = 0.4624.iii. The standard error of estimate measures the average distance between the predicted values and the actual values, so it is a measure of the accuracy of our prediction.

I the Coefficient of Determination Can Only Be Positive