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) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

The coefficient of determination (R²) is always non-negative, as it represents the proportion of variance explained by the model. If the correlation coefficient (r) is 0.68, R² is 0.68² = 0.4624. The standard error of estimate measures the accuracy of predictions by indicating the average distance that the observed values fall from the regression line.

I the Coefficient of Determination Can Only Be Positive