Exercise 9.1 - Chapter 9 - Correlation and Regression Analysis - 11th Business Maths Guide Samacheer Kalvi Solutions

You can Download the Exercise 9.1 - Chapter 9 - Correlation and Regression Analysis - 11th Business Maths Guide Samacheer Kalvi Solutions with expert answers for all chapters. Perfect for Tamil & English Medium students to revise the syllabus and score more marks in board exams. Download and share it with your friends

Share this to Friend on WhatsApp

Exercise 9.1

Text Book Back Questions and Answers

.Calculate the correlation co-efficient for the following data:

Solution:

Coefficient of correlation

Question 2.
Find the coefficient of correlation for the following:

Solution:

Question 3.
Calculate the coefficient of correlation for the ages of husbands and their respective wives:

Solution:
Without deviation:.

N = 10
Coefficient of correlation

Note: We can do the above problem using deviations taken from arithmetic means of X and Y. i.e., using

Question 4.
Calculate the coefficient of correlation between X and Y series from the following data:

The summation of product deviations of X and Y series from their respective arithmetic means is 122.
Solution:
Σx² = 136, Σy² = 138, Σxy = 122
Correlation coefficient

Question 5.
Calculate the correlation coefficient for the following data:

Solution:

N = 10, ΣX = 310, ΣY = 340, Σx² = 870, Σy² = 720, Σxy = 178

Correlation coefficient

Question 6.
Find the coefficient of correlation for the following:

Solution:

N = 8, ΣX = 600, ΣY = 724, Σdx² = 1172, Σdy² = 3372, Σdxdy = -146
Correlation coefficient

Question 7.
An examination of 11 applicants for an accountant post was taken by a finance company. The marks obtained by the applicants in the reasoning and aptitude tests are given below.

Calculate Spearman’s rank correlation coefficient from the data given above.
Solution:

N = 11, Σd² = 22
Rank correlation

Question 8.
The following are the ranks obtained by 10 students in commerce and accountancy are given below:

To what extent is the knowledge of students in the two subjects related?
Solution:

N = 11, Σd² = 128
Rank correlation

Question 9.
A random sample of recent repair jobs was selected and the estimated cost and actual cost were recorded.

Calculate the value of spearman’s correlation coefficient.
Solution:

N = 8, Σd² = 8
Rank correlation

Question 10.
The rank of 10 students of the same batch in two subjects A and B are given below. Calculate the rank correlation coefficient.

Solution:

N = 10, Σd² = 226
Rank correlation