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, (ar{X})= 350, (ar{Y}) = 138, = 19, = 94, xy = 41
r = (frac{sum xy}{sqrt{sum x^{2} imes sum y^{2}}})
Substituting the values, we get
r = (frac{41}{sqrt{19 imes94}}= 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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