**31.2****
****Properties of PolynomialLeastSquares** (.NET, C#, CSharp, VB, Visual Basic, F#)

Once constructed, a **PolynomialLeastSquares**
object provides the following properties:

● FittedPolynomial gets the fitted **Polynomial** object.

● Coefficients gets the coeffients of the fitted polynomial. The constant is at index 0, and the leading coefficient is at index Coefficients.Length -1.

● Degree gets the degree of the fitted polynomial.

● LeastSquaresSolution gets the **DoubleLeastSquares**
object used to compute the coefficients.

● DesignMatrix gets the design matrix for the fit.

Finally, the CoeffErrorEstimate()
method returns a vector of error estimates for the coefficients based
on a given estimated error in the *y*-values.
For example:

Code Example – C# polynomial fit

Console.WriteLine( fit.CoeffErrorEstimate(0.01) );

Code Example – VB polynomial fit

Console.WriteLine( Fit.CoeffErrorEstimate(0.01) )