Math Solutions

[Solution Library] Given the data matrix

Question: Given the data matrix

\[\mathbf{X}=\left[\begin{array}{ll} 9 & 1 \\ 5 & 3 \\ 1 & 2 \end{array}\right]\]
  1. Graph the scatter plot in \(p=2\) dimensions Locate the sample mean on your diagram.
  2. Sketch the \(n=3\) -dimensional representation of the data, and plot the deviation vectors \(\mathbf{y}_{1}-\bar{x}_{1} 1\) and \(y_{2}-\bar{x}_{2} 1\)
  3. Sketch the deviation vectors in (b) emanating from the origin. Calculate the lengths of these vectors and the cosine of the angle between them. Relate these quantities to \(\mathbf{S}_{n}\) and \(\mathbf{R}\)

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Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document


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