The relationship between life expectancy and income per person in 2007 (Europe Central /East Asia and Pacific).

The Data for Europe and Central Asia

The Data for East Asia and Pacific

The box and whisker graph

Chi-squared test

Null hypothesis

Validity

Limitations

Conclusion

The data chosen in order to have a strong correlation and to demonstrate that as the GDP increases, life expectancy also increases.

Europe And Central Asia /2007

Income per person (GDP) Life expectancy (y value)

1.Turkmenistan 5115 60.634

2.Ukraine 6542 67.733

3.Azerbaijan 7646 70.041

4.Turkey 8586 71.738

5.Bulgaria 10923 72.95

6.Montenegro 11428 74.03

7.Poland 15415 75.517

8.Portugal 20523 79.12

9.Spain 28427 80.745

10.France 30667 81.14

Next Slide

Is there a correlation between the income per person and the life expectancy in Europe?

The ‘r’ value (0.943) calculated by taking a square root of r2

Both have a strong positive correlation

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f(x) = 2839.63636363636 x − 1090.8R² = 0.889321935703163

Income per person(GDP) for Europe

Number of countries

The

valu

e of

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f(x) = 1.99572121212121 x + 62.3869333333333R² = 0.924049351891987

Life expectancy (y value) for Europe

Number of countries

Life

expe

ctan

cy

First Slide

Another data with different countries

East Asia and Pacific /2007 Income per person (GDP) Life expectancy (y value)

Indonesia 3535 70.474

Samoa 5053 71.38

China 6128 72.919

Malaysia 12460 74.117

South Korea 23438 79.445

New Zealand 24926 80.145

Japan 31637 82.87

Australia 34084 81.67

Hong Kong, China 39950 82.18

Singapore 45352 80.117

Next Slide

Is there a correlation between the income per person and the life expectancy in East Asia and Pacific?

The ‘r’ value is 0.988 The correlation remains strong positive

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f(x) = 4966.24848484849 x − 4658.06666666667R² = 0.976449410965107

Income per person (GDP)for East Asia and Pacific

Number of countriesThe

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cific

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85f(x) = 1.45454545454545 x + 69.4R² = 0.806587128213746

Life expectancy(y value) East Asia and Pacific

Number of countries

Life

expe

ctan

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First Slide

The box and whisker graph Europe

Next Slide

The box and whisker graph East Asia and Pacific

First Slide

Chi-squared test

• A chi-squared test-statistical hypothesis test in which the sampling distribution of the test statistic is a chi-squared distribution when the null hypothesis is true, or any in which this is asymptotically true.

• Both Europe and East Asia and Pacific:• Null Hypothesis:

The income per person is dependent from the life expectancy. • Alternative Hypothesis:

The income per person is independent from the life expectancy.

First Slide

Null hypothesis rejected: calculated value is greater then the critical one.

Europe East Asia and Pacific

2 Critical 3.841

2 Calculated 6.666

Accept H0? Reject the Null Hypothesis

2 Critical 3.841

2 Calculated 10

Accept H0? Reject the Null Hypothesis

First Slide

Validity

• Calculations are correct due to the use of calculator and manually .

• Chi Square test was done by calculator• Correlation analysis was done manually• Both double-checked by GDC to make sure

that the calculations are 100% correct.

First Slide

Limitations

• The insufficient data collected• The validity of data• The error that was made while collecting the

data• Not everyone was included in the calculation

of income• Not everyone was included in the calculation

of life expectancy

First Slide

Conclusion

• The data was not chosen randomly, but in order to get positive correlation.

• The graphs, Chi Squared -used to show positive correlation and relationship between life expectancy and income per person.

• There is a correlation in between two compared variables in terms of correlation coefficient (‘r’).

• The null hypothesis has to be rejected because the critical value was always less then the calculated one.

First Slide

1.Turkm

enist

an

2.Ukraine

3.Azerbaij

an

4.Turke

y

5.Bulgaria

6.Monten

egro

7.Poland

8.Portuga

l

9.Spain

10.Fran

ce0

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Income per person (GDP)Life expectancy (y value)

Table 1

Indonesia

Samoa

China

Malaysi

a

South Korea

New Ze

aland

Japan

Australi

a

Hong Kong,

China

Singa

pore0

5000100001500020000250003000035000400004500050000

Income per person (GDP)Life expectancy (y value)

Table 2

Columns from the excel

First Slide

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Table 1: Income per person (GDP)Table 1: Life expectancy (y value)

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Table 2: Income per person (GDP)Table 2: Life expectancy (y value)

Scatter diagrams from the excel

First Slide