Use the Given Covariance Matrix to Compute the Percentage of the Total

question 21

Multiple Choice

Use the given covariance matrix to compute the percentage of the total variance that is contained in the first principal
component. Round to one decimal place.
- $\left[ \begin{array} { l l l l l l } 26 & 31 & 26 & 31 & 11 & 31 \\ 10 & 40 & 55 & 25 & 50 & 30 \end{array} \right]$

• A)
• \[S = \left[ \begin{array} { r r }
• 60 & - 55 \\
• - 55 & 280
• \end{array} \right]\]
• B)
• \[\mathrm { S } = \left[ \begin{array} { r r }
• 50 & - 45 \frac { 5 } { 6 } \\
• - 45 \frac { 5 } { 6 } & 233 \frac { 1 } { 3 }
• \end{array} \right]\]
• C)
• \[S = \left[ \begin{array} { r r }
• - 60 & 55 \\
• 55 & - 280
• \end{array} \right]\]
• D)
• \[\mathrm { S } = \left[ \begin{array} { r r }
• 300 & - 275 \\
• - 275 & 1400
• \end{array} \right]\]

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Definitions:

Pure Monopolist

Describes a market structure where a single company exclusively controls the entire supply of a product or service without any close substitutes, influencing price and market conditions.

Total Revenue

The total amount of money a company receives from its sales of goods or services before any expenses are subtracted.

Pure Monopoly

A market structure where a single firm has exclusive control over the supply and pricing of a particular product or service, with no close substitutes available.

Sole Seller

A market situation where only one seller exists for a particular product or service, often referred to as a monopoly.