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

The summation of the product of the deviations of X and Y series from their respective arithmetic mean is 41.

Solution:

Given,

N = 6,

$$\begin{array}{l}\bar{X}\end{array}$$
= 350,
$$\begin{array}{l}\bar{Y}\end{array}$$
= 138, = 19, = 94, xy = 41

r =

$$\begin{array}{l}\frac{\sum xy}{\sqrt{\sum x^{2}\times \sum y^{2}}}\end{array}$$

Substituting the values, we get

r =

$$\begin{array}{l}\frac{41}{\sqrt{19\times94}}= \frac{41}{\sqrt{1,786}}=\frac{41}{42.26}=0.97\end{array}$$

Coefficient of Correlation (r) = +0.97

Question 2

What is correlation?

Solution

According to Boddington, wherever some definite connection exists between two or more groups, classes, series, or data, there is said to be a correlation.

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