srm assignment 1.docx

7/27/2019 srm assignment 1.docx

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ASSIGNMENT NO.1

CORRELATION AND REGRESSION

Q.1

Variable(x) birthrate:-independent

Variable(y) population growth rate: - dependent

COUNTRY BIRTH RATE(x)

POPULATION GROWTH

RATE(y)

niger 50.46 3.63

uganda 47.38 3.58

mali 45.15 2.61

zambia 43.51 3.03

burkina faso 43.2 3.07

ethiopia 42.59 3.18

somalia 42.12 1.6

burundi 40.58 3.1

malawi 40.42 2.76

repulic of the cogo 40.09 2.85

angola 39.36 2.78

mozambique 39.34 2.44

afghanistan 39.3 2.22

nigeria 39.23 2.55chad 38.7 1.98

sierra leone 38.12 2.28

benin 37.55 2.88

madagascar 37.13 2.95

democratic republic of the cogo 37.02 2.58

sao tome and principe 36.6 2

Guinea 36.45 2.64

liberia 36.19 2.61

senegal 36.14 2.53

rwanda 36.13 2.75central african republic 36.17 2.14

Data source: - http://www.indexmundi.com/g/r.aspx?v=25 and

https://www.cia.gov/library/publications/the-world-

factbook/rankorder/2054rank.html

http://www.indexmundi.com/g/r.aspx?v=25



https://www.cia.gov/library/publications/the-world-factbook/rankorder/2054rank.html








Q.2

Here correlation between x and y where ρ is between 0 and 1. So we can say that

relationship between x and y is positive correlation.

Q.3

Mean 39.9572 2.6696

standard deviation 3.753512266 0.477593621

Q.4

Covariance between the two variable x and y.

COVARIANCE 0.971615

Here the variance are positive so that the random variables really are random

0

0.5

1

1.5

2

2.5

3

3.5

4

35 37 39 41 43 45 47 49 51 53 55

P O P U L A T I O N G R O W T H R A T E ( Y )

BIRTH RATE(X)

POPULATION GROWTH RATE



Q.5

The correlation is indicated by correlation coefficient

Correlation coefficient between the two variable x and y

Correlation coefficient 0.564581401

As ρ=0.5 that is it is between 0 and 1 it implies “+ correlation”

Q.6

Y on x Regression coefficient estimates the relationship between two variables

Q.7

Here we take intercept as A and brith rate(x variable) as B

Y=a+bx

Y=-0.2008+0.071837x

Q.8

Regression coefficient

Coefficients

Intercept 28.11174

Populationgrowth rate

4.437168


Y=a+bx

Y=28.11174+4.437168x

Coefficients

Intercept -0.2008

Birth rate 0.071837



Q.9


Y=a+bx

Y=28.11174+4.437168x

Q.10

Estimated values of y for given value of x

Here we have estimated x value as 40, 45, 50

Y=A+BX

Y=-0.2008+0.

0

10

20

30

40

50

60

1.5 2 2.5 3 3.5 4

b r i t h

r a t e

population growth rate

BIRTH RATE

A B X B*X Y

-0.2008 0.071837 40 2.87348 2.67268

-0.2008 0.071837 45 3.232665 3.031865

-0.2008 0.071837 50 3.59185 3.39105



Q.10

scatter diagram of x on y

Q.11

Regression analysis is one of the most significant and generally used statistical techniques andhas many applications in business and economics. A firm may use regression analysis for

estimating the relationship between variables like sales and advertising (for marketing)

Correlation measures the linear relationship between two variable x and y.

Correlation indicated by correlation coefficient.

In correlation when one variable changes the other variable also changes. As I have taken brith

rate and population growth rate as variables. In this change in one affect the other variable.

Regression linear equation y=a+bx

0

10

20

30

40

50

60

2.5 2.7 2.9 3.1 3.3 3.5

srm assignment 1.docx

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