Plot the data along with the obtained curve

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Reference no: EM133710445

Question: Lorenz curve y = f (x) is used to represent a wealth distribution in a nation. The entire population is plotted along the x-axis from poorest to richest, and the height of the curve on the y-axis shows the percentage of total income received by the proportion of the population given on the x-axis. Graph of function y = x, called the line of perfect equality, represents the population where everyone has the same income. The area between the graphs of the two functions for 0 ≤ x ≤ 100 shows the country's income inequality.

The table below gives the percentage of income for selected percentages of people in a country.

x

10 

20 

30 

40 

50 

60 

70 

80 

90 

y

3.32 

6.41 

8.96 

12.39 

19.32 

28.11 

38.65 

55.13 

78.29 

Use Excel to fit a quadratic curve to the given data.
Plot the data along with the obtained curve above and the line y = x.
Using the obtained curve, approximate the income inequality for the given country.

Reference no: EM133710445

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