I have calculated m correlation coeeficient and my coefficie

I have calculated m correlation coeeficient and my coefficient of determination

if R= -0.961 and R2= 0.923053 how would I interpret the results? What is the explained or unexplained data?

Solution

As

R= -0.961 < 0,

then there seems to be a strong negative linear relationship between your variables, as this R value is close to -1.

As

and R2= 0.923053

then about 92.3053% of the variation in the dependent variable is explained by the variation in your independent variable. Hence, about 7.7% of the variation is not explained by the independent variable.