7. Goodness-of-fit testing 1)Total sum of squares TSS=∑(x-y)=YY-ny2 2)Explained sum of squares ESS=∑(y-y)2-∑e2=bXY-ny2 2 Coefficient of determination 2 ESS ee b'XY-ny R TSs∑(x-Y2)YY-ny7. Goodness-of-fit testing 1. 1) Total sum of squares: 2) Explained sum of squares: 2. Coefficient of determination: 2 2 TSS ( ) Y Y nY i = − = −  Y Y 2 2 2 ESS ( ) ˆ Y Y e nY i i = − − = −   b X Y   2 2 2 2 ESS ˆ 1 TSS ( ) i nY R Y Y nY    − = = − =  − −  e e b X Y Y Y