Problem:
Find the least squares vector given the matrix
$\left(
\begin{array}{ccc}
 3 & 2 & -1 \\
 1 & 3 & 0 \\
 3 & 2 & -2 \\
 3 & 0 & -2 \\
 2 & -2 & 0 \\
\end{array}
\right)$ and the vector
$\left(
\begin{array}{c}
 2.22 \\
 -1.87 \\
 -0.56 \\
 0.68 \\
 -1.08 \\
\end{array}
\right)$.
Answer:
$\left(
\begin{array}{c}
 -0.145 \\
 -0.096 \\
 -0.579 \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/linear_algebra/least_squares/6715.txt'}