i. If the coefficient of correlation is 0.70, what is the coefficient of determination? ii. If the value of r is -0.88, what does this indicate about the dependent variable as the independent variable increases?
iii. If the dependent variable is measured in hours, in what units is the standard error of estimate measured?
A) 0.49; it decreases; hours.
B) 0.49; it decreases; hours squared.
C) 0.49; it increases; hours.
D) 0.8367; it decreases; hours.
E) 0.8367; it increases; hours squared.

Question

Quizplus · Accepted Answer

i. The coefficient of determination (r^2) is the square of the coefficient of correlation (r). Therefore, r^2 = 0.70^2 = 0.49. 
ii. A negative value of r (-0.88) indicates a negative correlation between the two variables. As the independent variable increases, the dependent variable decreases. 
iii. The standard error of estimate is a measure of the variation or spread of errors around the regression line. It is measured in the same units as the dependent variable, which in this case is hours.

I If the Coefficient of Correlation Is 0