i. The coefficient of correlation is a measure of the strength of relationship between two variables. ii. The coefficient of determination can only be positive.
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) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

All three statements are correct: (i) The coefficient of correlation indeed measures the strength of the relationship between two variables, indicating how closely the values of one variable predict the values of another. (ii) The coefficient of determination, which is the square of the correlation coefficient, can only be positive as it represents the proportion of the variance in the dependent variable that is predictable from the independent variable. (iii) The standard error of estimate measures the standard deviation of the errors in predictions, thus indicating the accuracy of the predictions made by a regression line.

I the Coefficient of Correlation Is a Measure of the Strength