Home » Commerce for 11th and 12th Standard Students » 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

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.

BoardCBSE
ClassClass 11
SubjectStatistics for Economics
ChapterChapter 12
Chapter NameCorrelation
Number of questions solved02
CategoryT.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-seriesY-series
Number of items66
Arithmetic Mean350138
Squares of Deviations from Mean1994

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 two or more groups, classes or series or data there is said to be correlation”.

 

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