 # Find the variance/covariance matriz for the following data set \[\ podnescijy 2021-11-16 Answered
Find the variance/covariance matriz for the following data set
$\begin{array}{|cccc|}\hline Student& Algebra& Combinatorics& Analysis\\ 1& 90& 80& 90\\ 2& 30& 60& 30\\ 3& 60& 60& 50\\ 4& 90& 60& 30\\ 5& 40& 70& 40\\ \hline\end{array}$
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Step 1

Correlations, from Excel function:
Corr(Algebra, Combinatorics)=0.3225=CORREL(E1:E5,F1:F5)
Corr(Algebra, Analysis)=0.5138=CORREL(E1:E5,G1:G5)
Corr(Combinatorics, Analysis)=0.8531=CORREL(F1:F5,G1:G5)
Corr(Algebra, Algebra)=1=CORREL(E1:E5,E1:E5)
Corr(Analysis, Analysis)=1=CORREL(G1:G5,G1:G5)
Corr(Combinatorics, Combinatorics)=1=CORREL(F1:F5,F1:F5)
Step 2
Variance/correlation matrix:
$\begin{array}{cccc}& Algebra& Combinatorics& Analysis\\ Algebra& 1& 0.3225& 0.5138\\ Combinatorics& 0.3225& 1& 0.8531\\ Analysis& 0.5138& 0.8531& 1\end{array}$