SSR + SSE - SST = ?

1 answer

The equation \( \text{SSR} + \text{SSE} - \text{SST} = ? \) relates to the components of the total sum of squares (SST) in regression analysis.

In this context:

  • SST (Total Sum of Squares) measures the total variability in the response variable.
  • SSR (Regression Sum of Squares) measures the variability explained by the regression model.
  • SSE (Error Sum of Squares) measures the variability that is not explained by the regression model (the error).

The fundamental relationship among these components is given by the equation:

\[ \text{SST} = \text{SSR} + \text{SSE} \]

So, if you rearrange this equation, you get:

\[ \text{SSR} + \text{SSE} - \text{SST} = 0 \]

Therefore:

\[ \text{SSR} + \text{SSE} - \text{SST} = 0 \]