ML Aggarwal Correlation Analysis ISC Class-11 Maths Understanding Solutions Chapter-2. Step by step Solutions of ML Aggarwal ISC Class-11 Mathematics with Exe-2.1, Exe-2.2, Exe-2.3, and Chapter Test Questions. Visit official Website for detail information about ISC Board Class-11 Mathematics.

## ML Aggarwal Correlation Analysis ISC Class-11 Maths Understanding Solutions Chapter-2

 Class: 11th Subject: Mathematics Chapter  : Ch-2 Correlation Analysis Section –C of Vol-II
 Board ISC Writer ML Aggarwal Publications APC Arya Publications 2020-21

-: Select Topics :-

Exe-2.1,

Exe-2.2,

Exe-2.3,

Chapter Test

### ML Aggarwal Correlation Analysis ISC Class-11 Maths Understanding Solutions Chapter-2

Meaning of Correlation:

Correlation is a statistical tool which studies the relationship between two variables e.g. change in price leads to change in quantity demanded.
Correlation studies and measures the direction and intensity of relationship among variables. It measures co-variation not causation. It does not imply cause and effect relation.

#### Type of Correlation :

Correlation is classified into positive and negative correlation. The correlation is said to be positive when the variables move together in the same direction. e.g. sale of lce cream and temperature move in same direction.
The correlation is said to be negative when the variables move in opposite direction. e.g. When you spend more time in studying chances of your failure decline.

Positive Correlation are:
1. Price and supply of a commodity.
2. Increase in Height and Weight.
3. Age of husband and age of wife.
4. The family income and expenditure on luxury items.

Negative Correlation are:
1. Sale of woollen garments and day temperature.
2. Price and Demand of a commodity.
3. Yield of crops and price.

#### Methods of Correlation:

(a) Scatter diagram
(b) Karl person’s coefficient of correlation.
(c) Spearman’s rank correlation.

Scatter diagram offers a graphic expression of the direction and degree of correlation. To construct a scatter diagram, x variables taken on X-axis and y variable is taken on Y-axis. The cluster of points, plotted is referred to as a scatter diagram. In this, the degree of closeness of scatter points and their overall direction enables us to examine the relationship.
Karl person’s coefficient of correlation is a quantitative method of calculating correlation. It gives a precise numerical value of the degree of linear relationship between two variables.
Karl person’s coefficient of correlation is also known as product moment correlation.

#### Importance or Significance of Correlation :

• The study of correlation shows the direction and degree of relationship between the variables.
• Correlation coefficient some times suggests cause and effect relationship.
• Correlation analysis facilitates business decisions because the trend path of one variable may suggest the expected changes in the other.
• Correlation analysis also helps policy formulation.

### Exe-2.1

ML Aggarwal Correlation Analysis ISC Class-11 Maths Understanding Solutions Chapter-2

#### Question 1:

Find Cov (X, Y) between y and y ……………………. n = 10.

#### Question 2:

Find conversance …………………….. and n = 10.

…………………..

………………….

…………………..

#### Question 9:

Prove that though …………………. that cov. (u, v) = a.c. cov (x, y).

Exe-2.2

### Correlation Analysis ISC Class-11 Maths Understanding Solutions Chapter-2

#### Question 1:

Find ρ (x, y) if cov. (x, y) = ………………….. = 144.

#### Question 2:

The coefficient of …………………. of Y series.

……………………..

………………………

……………………..

#### Question 16:

In calculating  the coefficient …………. data was obtained

### Exe-2.3

ML Aggarwal Correlation Analysis ISC Class-11 Maths Understanding Solutions Chapter-2

#### Question 1:

The ranking of 10 individual at the start and on the first time ……………….. follows.

……………..

#### Question 2:

Find the …………………… by 10 students.

………………………

……………………….

……………………….

#### Question 12:

Ten candidate received percentage marks in two subjects as follows:

……………………

Chapter Test

### ML Aggarwal Correlation Analysis ISC Class-11 Maths Understanding Solutions Chapter-2

#### Question 1:

Find covariance and coefficient …………………. following data ;

………………

#### Question 2:

Find the coefficient …………. following data :

…………………

………………………

……………………..

………………………

#### Question 10:

A psychologist selected a random sample ……………… course are as follow ;

…………………

-: End of Correlation Analysis ISC Class-11 ML Aggarwal Maths Understanding Chapter-2 Solution :-

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