the relationship between life expectancy and income per person in 2007 (europe central /east asia...
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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
inco
me
per p
erso
n
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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
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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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5000100001500020000250003000035000400004500050000
f(x) = 4966.24848484849 x − 4658.06666666667R² = 0.976449410965107
Income per person (GDP)for East Asia and Pacific
Number of countriesThe
valu
e of
inco
me
per p
erso
n in
Eas
t Asia
an
d Pa
cific
0 2 4 6 8 10 1260
65
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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
cy
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