The coefficient of rank correlation of the marks obtained by 10 students in statistics and accountancy was found to be 0.8. It was later discovered that the difference in ranks in the two subjects obtained by one of the students was wrongly taken as 7 instead of 9. Find the correct coefficient of rank correlation.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The coefficient of rank correlation of the marks obtained by 10 students in statistics
and accountancy was found to be 0.8. It was later discovered that the difference in
ranks in the two subjects obtained by one of the students was wrongly taken as 7
instead of 9. Find the correct coefficient of rank correlation.
Ques.5
From the following data, compute the rank correlation.
X
82
68
75
61
68
73
85
68
Y
81
71
71
68
62
69
80
70
Ques.6 Difference between Correlation and Regression.
Ques.7
Find the two regression equation of X on Y and Y on X from the following data:
X :
10 12 16 11 15 14 20 22
Y: 15 18
28
23 14 20 17 25
Ques.8
After investigation it has been found the demand for automobiles in a city depends
mainly, if not entirely, upon the number of families residing in that city. Below are the
given figures for the sales of automobiles in the five cities for the year 2019 and the
number of families residing in those cities.
City
No. of Families (in lakhs): X Sale of automobiles (in '000): Y
70
25.2
Belagavi
Bangalore
75
28.6
Hubli
80
30.2
Kalaburagi
60
22.3
Mangalore
90
35.4
Fit a linear regression equation of Y on X by the least square method and estimate the
sales for the year 2020 for the city Belagavi which is estimated to have 100 lakh
families assuming that the same relationship holds true.
Transcribed Image Text:The coefficient of rank correlation of the marks obtained by 10 students in statistics and accountancy was found to be 0.8. It was later discovered that the difference in ranks in the two subjects obtained by one of the students was wrongly taken as 7 instead of 9. Find the correct coefficient of rank correlation. Ques.5 From the following data, compute the rank correlation. X 82 68 75 61 68 73 85 68 Y 81 71 71 68 62 69 80 70 Ques.6 Difference between Correlation and Regression. Ques.7 Find the two regression equation of X on Y and Y on X from the following data: X : 10 12 16 11 15 14 20 22 Y: 15 18 28 23 14 20 17 25 Ques.8 After investigation it has been found the demand for automobiles in a city depends mainly, if not entirely, upon the number of families residing in that city. Below are the given figures for the sales of automobiles in the five cities for the year 2019 and the number of families residing in those cities. City No. of Families (in lakhs): X Sale of automobiles (in '000): Y 70 25.2 Belagavi Bangalore 75 28.6 Hubli 80 30.2 Kalaburagi 60 22.3 Mangalore 90 35.4 Fit a linear regression equation of Y on X by the least square method and estimate the sales for the year 2020 for the city Belagavi which is estimated to have 100 lakh families assuming that the same relationship holds true.
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