.1 0.2 0.3 0.4 0.5 0.0178 0.06 0.122 0.201 0.297 a between ne of particular th area e (x)) dx f(x)) dx. 3. The data in the table show the amount of wealth dis- tributed within a population. ealth, the ld be no dif- enz function able distribu 0.6 0.7 0.8 0.9 0.409 0.536 0.677 0.833 Use regression to determine a power function that best fits these data. (Note: Entering the point (0,0)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question
In the figure that
ented by the formula
x 0.1
y 0.0178
the area between
is the line of
for a particular
ngle with area
t can be
(x - f(x)) dx
(¹²)
-1
(x -f(x)) dx.
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
0.06 0.122 0.201 0.297 0.409 0.536 0.677 0.833
on of wealth, the
re would be no dif-
he Lorenz function
inequitable distribu-
ould be 1. Often, the
o give the Gini
a Gini index of 34.
a country is given
h is owned by 60%
value will be
EXERCISES
3. The data in the table show the amount of wealth dis-
tributed within a population.
Use regression to determine a power function that
best fits these data. (Note: Entering the point (0, 0)
may cause an error message to appear. However, the
point (1, 1) should be entered along with the rest of
the data.)
a) Express the Lorenz function in the form
f(x)=x". The coefficient should be 1, so you
may have to do some rounding.
b) Determine the Gini coefficient and the Gini
index.
c) What percentage of the wealth is owned by the
lowest 74% of this population?
Transcribed Image Text:In the figure that ented by the formula x 0.1 y 0.0178 the area between is the line of for a particular ngle with area t can be (x - f(x)) dx (¹²) -1 (x -f(x)) dx. 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0.06 0.122 0.201 0.297 0.409 0.536 0.677 0.833 on of wealth, the re would be no dif- he Lorenz function inequitable distribu- ould be 1. Often, the o give the Gini a Gini index of 34. a country is given h is owned by 60% value will be EXERCISES 3. The data in the table show the amount of wealth dis- tributed within a population. Use regression to determine a power function that best fits these data. (Note: Entering the point (0, 0) may cause an error message to appear. However, the point (1, 1) should be entered along with the rest of the data.) a) Express the Lorenz function in the form f(x)=x". The coefficient should be 1, so you may have to do some rounding. b) Determine the Gini coefficient and the Gini index. c) What percentage of the wealth is owned by the lowest 74% of this population?
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