Title: Polynomielles Regressionsmodell der 4. Ordnung
Course: Latex 004 - Beispiele

$$\displaystyle \left( \begin{array}{lllll}
n & \sum{x_i} & \sum{x_i}^{2} & \sum{x_i}^{3} & \sum{x_i}^{4}\\
\sum{x_i} & \sum{x_i}^{2} & \sum{x_i}^{3} & \sum{x_i}^{4} & \sum{x_i}^{5}\\
\sum{x_i}^{2} & \sum{x_i}^{3} & \sum{x_i}^{4} & \sum{x_i}^{5} & \sum{x_i}^{6}\\
\sum{x_i}^{3} & \sum{x_i}^{4} & \sum{x_i}^{5} & \sum{x_i}^{6} & \sum{x_i}^{7}\\
\sum{x_i}^{4} & \sum{x_i}^{5} & \sum{x_i}^{6} & \sum{x_i}^{7} & \sum{x_i}^{8}
\end{array}\right)\left(\begin{array}{l}
a_0\\a_1\\a_2\\a_3\\a_4\end{array}\right)=
\left(\begin{array}{l}
\sum{y_i}\\
\sum{x_i} {y_i}\\
\sum{x_i}^{2} {y_i}\\
\sum{x_i}^{3} {y_i}\\
\sum{x_i}^{4} {y_i}
\end{array} \right)$$