If the coefficient of correlation r = 0,then:
A) the slope of the regression line is zero.
B) there is no linear relationship whatsoever between the dependent variable y and the independent variable x.
C) the coefficient of determination is zero.
D) All of these are correct.
E) None of these is correct.

Question

Quizplus · Accepted Answer

When the coefficient of correlation $r = 0$, it indicates that there is no linear relationship between the variables, which means the slope of the regression line is zero (since the slope is influenced by $r$), and the coefficient of determination (which is $r^2$) is also zero, reflecting no explained variance in the dependent variable by the independent variable.

If the Coefficient of Correlation R = 0,then