  The least squares fit to a straight line, when both variables are affected by
all equal uncorrelated errors, leads to very simple results for both the
estimated parameters and their standard errors, of widespread applicability. In
this paper several formulas are derived, presenting a full set of results about
the estimated parameters and their standard errors. All the results have been
validated with extensive Monte Carlo simulations. The emphasis of the paper is
on the calculation and properties of the best-fit parameters and their standard
errors.
