Rank Correlation

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Spearman’s Rank Correlation Coefficient

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Coefficient of rank correlation between x and y is 0.5 and `sumd_i^2`= 42. Assuming that no ranks are repeated, find the number of pairs of observations.

If the sum of squares of differences of ranks for 10 pairs of observations is 66, find the rank correlation coefficient.

Calculate Spearman's Rank Correlation Coefficient between the following marks given by 'two' judges (A) and (B) to •eight' contestants in the elocution competition:

Contestants	1	2	3	4	5	6	7	8
Marks by A	81	72	60	33	29	11	56	42
Marks byB	75	56	42	15	30	20	60	80

If the rank correlation coefficient is 0.6 and the sum of squares of differences of ranks is 66, then find the number of pairs of observations.

Compute the coefficient of correlation for the following data :

n = 100 ; `bar x` = 62 , ` bar y` = 53 . σx = 10 ; σ y = 12 ,

`sum ("x"_1 - bar x) ("y"_1 - bar y) = 8000`

Ranking of 8 trainees at the beginning (X) and at the end (Y), of a certain course are given below :

Trainees	A	B	C	D	E	F	G	H
X	1	2	4	5	6	8	3	7
Y	2	4	3	7	8	1	5	6

Calculate Spearman's rank correlation coefficient.

Draw scatter diagram for the following data and identify the type of correlation.

capital (₹ in crore)	2	3	4	5	6	8	9
Profit (₹ in lakh)	6	5	7	7	8	12	11

In a partially destroyed laboratory record of an analysis of regression data, the following data are legible :

Variable of X = 9

Regression equations : 8x - 10g + 66 = 0 and 40x- 18g = 214

Find Mean values of X and Y on the basis of the above information .

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Topics

Mathematical Logic

Mathematical Logic

Matrices

Differentiation

Applications of Derivatives

Integration

Definite Integration

Applications of Definite Integration

Differential Equation and Applications

Matrices

Commission, Brokerage and Discount

Insurance and Annuity

Linear Regression

Time Series

Index Numbers

Linear Programming

Assignment Problem and Sequencing

Probability Distributions

Continuity

Differentiation

Applications of Derivative

Indefinite Integration

Definite Integrals

Ratio, Proportion and Partnership

Commission, Brokerage and Discount

Insurance and Annuity

Demography

Bivariate Data and Correlation

Regression Analysis Introduction

Random Variable and Probability Distribution

Management Mathematics

Shaalaa.com | Rank Correlation Coefficient problem-1

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