If SSR 54 and SSE 6 determine SST then compute the coeffici

If SSR:= 54 and SSE = 6, determine SST, then compute the coefficient of determination, r^2, and interpret its meaning. SST = (Type an integer or a decimal.) r^2 = (Type an integer or a decimal.) Interpret the meaning of r^2. Choose the correct answer below. It means that r^2 middot 100% of the variation in the dependent variable can be explained by the variation in the independent variable.

Solution

SST=SSR+SSE=54+6=60, r²=SSR/SST=54/60=0.9. Therefore, r²*100% of the variation in the dependent variable can be explained by the variation in the independent variable.