If there is a very weak correlation between two variables, then the coefficient of determination must be
A) much larger than 1, if the correlation is positive.
B) much smaller than -1, if the correlation is negative.
C) equal to one.
D) closer or equal to zero.

Question

Quizplus · Accepted Answer

The coefficient of determination (R-squared) measures the proportion of variance in the dependent variable that is explained by the independent variable(s). If there is a weak correlation between two variables, then the R-squared value will be closer to zero, indicating that only a small proportion of the variance in the dependent variable can be explained by the independent variable(s). Therefore, the best choice is D: closer or equal to zero.

If There Is a Very Weak Correlation Between Two Variables