Question

For Exercises find the coefficients of determination and non determination and explain the meaning of each.

r = 0.42

Answer 1

Given that r = 0.42 then Coefficient of Determination = r2 = (0.42)2 = 0.1764.

 

This result means that 17.64 % of the variation in the dependent variable is accounted for by the variations in the independent variable.

 

Coefficient of non – determination = 1 – r2 = 1 – 0.1764 = 0.8236

 

Therefore 82.36 % of the variation in the dependent variable is unexplained by the variations in the independent variable.

Therefore 82.36 % of the variation in the dependent variable is unexplained by the variations in the independent variable.