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- (SW 7.10) Show that the two alternative formulas below for the homoscedasticity-only F-statistic are equivalent. F = (SSRrestricted − SSRunrestricted) /q SSRunrestricted/ (n − kunrestricted − 1) (equation 7.13 in SW) F = R2 unrestricted − R2 restricted /q (1 − R2 unrestricted) / (n − kunrestricted − 1) (equation 7.14 in SW)Qn 1. According to the News Wire “Inequality,” what is the average per capita income innations where the highest-income decile gets (a) over 45 percent of totalincome? (b) less than 30 percent of total income?N Lorenz curve, shown as the sum of areas V+W+X+Y+Z % of Income C W V % of Population Use the sliders in the interactive tool to illustrate the following income distribution: % of Population 0 40 60 80 100 20 % of Income 4 12 26 46 100
- A Gini ratio of 0.99999 would indicate that income distribution is: Group of answer choices almost perfectly equal perfectly equal almost perfectly unequal highly variableA group of 10 people have the following annual incomes: $55,000, $30,000, $15,000, $20,000, $35,000, $80,000, $40,000, $45,000, $30,000, $50,000. Calculate the share of total income each quintile of this income distribution received. Do the top and bottom quintiles in this distribution have a greater or larger share of total income than the top and bottom quintiles of the U.S. income distribution for 2005?2. Draw a complete and dearly labeled Lorenz Curve using the information below. Lowest 2nd 3rd 5th Quantile Quantile Quantile Quantile Quantile 3.6% 8.9% 14.8% 23% 49.8%
- Given the income distributions (1; 2; 2; 5; 5; 5; 7; 11; 11; 12; 20; 21; 22; 24); (2; 3; 3; 4; 4; 5; 7; 7; 11; 11; 12; 20; 21; 24); And a poverty line of z = 6, calculate the Sen poverty measure. Explain the values obtained for the two distributions.A Lorenz curve is used to study income distributions (see graph). If x is the cumulative percentage of income recipients, ordered from poorest to richest, and Y is the cumulative percentage of income, then equality of income distribution is given by the line Y=X. Suppose the real distribution is given by the Lorenz curve defined by: 20 y =x? +x The Gini coefficient (G) measures the degree of deviation from equality Y=X for a specific Lorenz curve y is given by: G= A/(A+B). Determine G Areas produced by the Lorenz curve B Curve `Lorenz Population EntryQuestion 20 - A group of eight people have the following annual incomes: $10,000; $9,000: $15,700; $5,000; $6,500; $13,500; S12,000; and $8,300. Calculate the share of total income that people in the fourth quartile receive from this incorne distribution. Enter your answer in the box below rounding to one decimal place. Answer
- Given standard deviation of two per capita incomes and the percentiles per capita income, what can you conclude about income inequality in America? Standard deviation Income 1: 12,000 Standard deviation Income 2: 13,000 Percentile 0.1 20000 0.2 22000 0.3 24000 0.4 26000 0.5 28000 0.6 30000 0.7 32000 0.8 38000 0.9 40000If the area between the diagonal line of absolute equality and the Lorenz curve is greater for China than for the United States, we can conclude that the Distribution of income in China is less equal than in the United States. Relative distributions of income in the two countries are the same. O Distribution of income in China is as equal as in the United States. O Distribution of income in China is closer to being equal than in the United States.If in 2009 Indonesia had a Gini index of income distribution of 36.8 and Brazil had a Gini index of 53.9 this means: Select one: That the income distribution was more equal in Brazil than in Indonesia.. That 36.8% of the population in Indonesia and 53.9% of the population in Brazil had an income that was below the average off their respective country. That only 36.87% of the population in Indonesia and 53.97% of the population in Brazil participate in the income redistribution policies of their respective country. O c. Od. That the income distribution was more equal in Indonesia than Brazil. O a. O b.