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, the The sum of square of the total observations can be transformed as follows:
→Sum of squares
Here we think a case to divide the observations into <math>k</math> groups.
:<math>x_1, x_2, \cdots ,x_n</math>:→<math>
\begin{Bmatrix}
x_1, x_2, \cdots ,x_n\end{Bmatrix}</math> → <math>k</math> groups <math>\begin{Bmatrix}x_1, x_1, \cdots \cdots, x_a \\x_{a+1}, x_{a+2}, \cdots, x_b \\\vdots & \ddots &\ \vdots \\\cdots \cdots x_{n-1}, x_n
\end{Bmatrix}
</math>
:<math>
