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11th ICSE

IMPORTANT

Earn 100

Prove that though covariance is independent of the choice of origin it depends upon the scale. If $u = a x + b, v = c y + d,$ show that $cov (u, v) = a . c . cov (x, y)$ .

Important Questions on Correlation Analysis

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>EXERCISE>Q 3

Calculate Karl Pearson's coefficient of correlation between $x$ and $y$ for the following data and interpret the result:

$(1, 6), (2, 5), (3, 7), (4, 9), (5, 8), (6, 10), (7, 11), (8, 13), (9, 12)$

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>EXERCISE>Q 4

Calculate the coefficient of correlation between $X$ and $Y$ from the following data using Karl Pearson's method.

$x$	$1$	$2$	$3$	$4$	$5$
$y$	$2$	$5$	$3$	$8$	$7$

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>EXERCISE>Q 5

Compute Karl Pearson's Coefficient of Correlation between sales and expenditures of a firm for six months.

Sales (in lakh of ₹)	$18$	$20$	$27$	$20$	$21$	$29$
Expenditure (in lakh of ₹)	$23$	$27$	$28$	$28$	$29$	$30$

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>EXERCISE>Q 8

Calculate correlation coefficient from the following results:

N = 10, \sum x = 140, \sum y = 150, \sum (x - 10)^{2} = 180, \sum (y - 15)^{2} = 215, \sum (x - 10) (y - 15) = 60 .

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>EXERCISE>Q 10

Calculate Karl Pearson's coefficient of correlation between the marks in English and Mathematics obtained by $10$ students :

English	$20$	$13$	$18$	$21$	$11$	$12$	$17$	$14$	$19$	$15$
Mathematics	$17$	$12$	$23$	$25$	$14$	$8$	$19$	$21$	$22$	$19$

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>EXERCISE>Q 11

Find Karl Pearson's coefficient of correlation between $X$ and $Y$ for the following data :

$X$	$16$	$18$	$21$	$20$	$22$	$26$	$27$	$15$
$Y$	$22$	$25$	$24$	$26$	$25$	$30$	$33$	$14$

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>EXERCISE>Q 12

From the following table, calculate the Karl Pearson's coefficient of correlation.

$X$	$6$	$2$	$10$	$4$	$8$
$Y$	$9$	$11$	$?$	$8$	$7$

Arithmetic means of $X$ and $Y$ series are $6$ and $8$ respectively.

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>EXERCISE>Q 13

The weights of sons and fathers (in kilograms) are given below:

Weight of father	$65$	$66$	$67$	$67$	$68$	$69$	$70$	$72$
Weight of son	$67$	$68$	$65$	$68$	$72$	$72$	$69$	$71$

Find the coefficient of correlation.

Prove that though covariance is independent of the choice of origin it depends upon the scale. If u=ax+b, v=cy+d, show that cov u, v=a.c.cov x, y.

Important Questions on Correlation Analysis

Learn and Prepare for any exam you want !

Prove that though covariance is independent of the choice of origin it depends upon the scale. If $u = a x + b, v = c y + d,$ show that $cov (u, v) = a . c . cov (x, y)$ .