M L Aggarwal Solutions for Chapter: Correlation Analysis, Exercise 2: EXERCISE

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

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

Coefficient of correlation between $\mathrm{X}$ and $\mathrm{Y}$ for $50$ observations is $0.3$, mean of $\mathrm{X}$ is $10$ and that of $\mathrm{Y} 6$, $\mathrm{SD}$. of $\mathrm{X}$ is $3$ and that of $\mathrm{Y}$ is $2$ Later it was discovered that one pair of values $(10, 6)$ was inaccurate and hence weeded out. Calculate the correlation between remaining $9$ pairs of values.

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

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

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

Arithmetic means of $\mathrm{X}$ and $\mathrm{Y}$ series are $6$ and $8$ respectively.

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

Find the coefficient of correlation.

Calculate Kari Pearson's coefficient of correlation from the following data and interpret the result:

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