Find the covariance for the following demand schedule- begin array - c - c - Whine5 - 40 lllhline10 - 33 Wlline15 - 30 Illhline20 - 28 Whline25 - 19 IWhline lendarray A- -57B- 57C- -47D- -36

The correct option is C 47 [ X amp; Y amp; X X̅ amp; Y Y̅ amp; (X X̅)(Y Y̅); 5 amp; 40 ...

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Standard XI

Statistics

Covariance

Find the cova...

Question

Find the covariance for the following demand schedule.

$\begin{matrix} P r i c e (X) & Q u a n t i t y (Y) 5 & 40 10 & 33 15 & 30 20 & 28 25 & 19 \end{matrix}$

-36

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-57

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-47

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Solution

The correct option is D
-47

$\begin{matrix} X & Y & X - ¯ X & Y - ¯ Y & (X - ¯ X) (Y - ¯ Y) 5 & 40 & - 10 & 10 & - 100 10 & 33 & - 5 & 3 & - 15 15 & 30 & 0 & 0 & 0 20 & 28 & 5 & - 2 & - 10 25 & 19 & 10 & - 11 & - 110 \sum = - 235 \end{matrix}$

$¯ X = \frac{\sum X}{N} = \frac{75}{5} = 15$
$¯ Y = \frac{\sum Y}{N} = \frac{150}{5} = 30$

$C o v (X, Y) = \frac{(X - ¯ X) (Y - ¯ Y)}{N} = - \frac{235}{5} = - 47$

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Find the covariance for the following demand schedule. Price (X)Quantity (Y)5401033153020282519

The correct option is D -47 XYX−¯XY−¯Y(X−¯X)(Y−¯Y)540−1010−1001033−53−15153000020285−2−10251910−11−110∑=−235 ¯X=∑XN=755=15 ¯Y=∑YN=1505=30 Cov(X,Y)=(X−¯X)(Y−¯Y)N=−2355=−47

Find the covariance for the following demand schedule.

$\begin{matrix} P r i c e (X) & Q u a n t i t y (Y) 5 & 40 10 & 33 15 & 30 20 & 28 25 & 19 \end{matrix}$