How to find best fit line using Principal Component Analysis?
<p>I'm plotting graphs in windows application in C#.
I've used 
<a href="http://mathworld.wolfram.com/LeastSquaresFittingPerpendicularOffsets.html" rel="nofollow">Least Squares Fitting--Perpendicular Offsets</a>
to find best fit line. But my data source varies from vertical line to (almost) horizontal one.</p>

<p>Then I read about PCA, and Accord.net libraries. I've written some code, but not getting what exactly to do further.</p>

<p><strong>I have a list of DataPoints of a graph.</strong></p>

<pre><code>DataTable dt = new DataTable();
dt.Columns.Add("X", typeof(double));
dt.Columns.Add("Y", typeof(double));

foreach (DataPoint dp in listOfPoints)
{
    DataRow dr = dt.NewRow();
    dr["X"] = dp.XValue; 
    dr["Y"] = dp.YValues[0];
    dt.Rows.Add(dr);
}

string[] columnNames;
double[,] sourceMatrix = dt.ToMatrix(out columnNames);
DescriptiveAnalysis sda = new DescriptiveAnalysis(sourceMatrix, columnNames);
sda.Compute();
AnalysisMethod method = AnalysisMethod.Center;

PrincipalComponentAnalysis pca = new PrincipalComponentAnalysis(sda.Source, method);
pca.Compute();
double[] mean = sourceMatrix.Mean();
double[,] eigenVectors = pca.ComponentMatrix;
</code></pre>

<p>After getting eigen vectors how to utilize them in plotting best fit line.</p>