  We give an explicit solution formula for the polynomial regression problem in
terms of Schur polynomials and Vandermonde determinants. We thereby generalize
the work of Chang, Deng, and Floater to the case of model functions of the form
$\sum _{i=1}^{n} a_{i} x^{d_{i}}$ for some integer exponents $d_{1} >d_{2}
>\dotsc >d_{n} \geq 0$ and phrase the results using Schur polynomials. Even
though the solution circumvents the well-known problems with the forward
stability of the normal equation, it is only of practical value if $n$ is small
because the number of terms in the formula grows rapidly with the number $m$ of
data points. The formula can be evaluated essentially without rounding.
