In regression analysis,the total variation in the dependent variable Y,measured by $\sum \left( y _ { i } - \bar { y } \right) ^ { 2 }$
and referred to as SST,can be decomposed into two parts: the explained variation,measured by SSR,and the unexplained variation,measured by SSE.

Question

In regression analysis,the total variation in the dependent variable Y,measured by $\sum \left( y _ { i } - \bar { y } \right) ^ { 2 }$ 
and referred to as SST,can be decomposed into two parts: the explained variation,measured by SSR,and the unexplained variation,measured by SSE.

Quizplus · Accepted Answer

In regression analysis, the total sum of squares (SST) is indeed decomposed into the regression sum of squares (SSR), which represents the explained variation, and the error sum of squares (SSE), which represents the unexplained variation.

In Regression Analysis,the Total Variation in the Dependent Variable Y,measured ∑(yi−yˉ)2\sum \left( y _ { i } - \bar { y } \right) ^ { 2 }∑(yi​−yˉ​)2

In Regression Analysis,the Total Variation in the Dependent Variable Y,measured $\sum \left( y _ { i } - \bar { y } \right) ^ { 2 }$