Statistics Solutions

(All Steps) Consider the two data sets

Question: Consider the two data sets

\[\mathbf{X}_{1}=\left[\begin{array}{ll} 3 & 7 \\ 2 & 4 \\ 4 & 7 \end{array}\right] \text { and } \mathbf{X}_{2}=\left[\begin{array}{ll} 6 & 9 \\ 5 & 7 \\ 4 & 8 \end{array}\right]\]

for which

\[\overline{\mathbf{x}}_{1}=\left[\begin{array}{l} 3 \\ 6 \end{array}\right], \quad \overline{\mathbf{x}}_{2}=\left[\begin{array}{l} 5 \\ 8 \end{array}\right]\]

and

\[S_{\text {pooled }}=\left[\begin{array}{ll} 1 & 1 \\ 1 & 2 \end{array}\right]\]
  1. Calculate the linear discriminant function in (11-19).
  2. Classify the observation \(\mathbf{x}_{0}^{\prime}=\left[\begin{array}{ll}2 & 7\end{array}\right]\) as population \(\pi_{1}\) or population \(\pi_{2}\), using Rule (11-18) with equal priors and equal costs.

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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