T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 12 - Correlation

T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 12 – Correlation is regarded as an important concept to be studied thoroughly by the students. Here, we have provided T.R. Jain and V.K. Ohri Solutions for Class 11.

Board

CBSE

Class

Class 11

Subject

Statistics for Economics

Chapter

Chapter 12

Chapter Name

Correlation

Number of questions solved

02

Category

T.R. Jain and V.K. Ohri

Chapter 12 – Correlation covers the below-mentioned concepts:

  • Concept and definition of Correlation
  • Simple and Multiple Correlation
  • Linear and Non-linear correlation
  • Karl Pearson’s Coefficient of Correlation
  • Properties of the correlation coefficient

T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 12 – Correlation

Question 1

From the following data, compute the Coefficient of Correlation between X and Y series:

X-series

Y-series

Number of items

6

6

Arithmetic Mean

350

138

Squares of Deviations from Mean

19

94

Summation of the product of deviations of X and Y series from their respective arithmetic mean = 41.

Solution:

Given,

N = 6, \(\bar{X}\)= 350, \(\bar{Y}\) = 138, = 19, = 94, xy = 41

r = \(\frac{\sum xy}{\sqrt{\sum x^{2}\times \sum y^{2}}}\)

Substituting the values, we get

r = \(\frac{41}{\sqrt{19\times94}}= \frac{41}{\sqrt{1,786}}=\frac{41}{42.26}=0.97\)

Coefficient of Correlation (r) = +0.97

Question 2

What is correlation?

Solution: According to Boddington, “Wherever some definite connection exists between the 2 or more groups, classes or series or data there is said to be correlation”.

The above-provided solutions are considered to be the best solutions for Statistics for Economics Class 11 T.R. Jain and V.K. Ohri Solutions for Chapter 12 – Correlation. Stay tuned to BYJU’S to learn more and score well in the upcoming board examinations.