C Alculus in Context #5Math 113, Chapters 5 & 6How does our understanding of integration and the Fundamental Theorem ofCalculus allow us to compare income inequality?The Gini index is a statistical measure of income distribution. It ranges from 0 (or 0%) for perfect equality to 1(or 100%) for perfect inequality. Source:https://data.worldbank.org/indicator/SI.POV.GINI?view=mapA country where every1. Perfect Equality2. Unequal3. More Unequal4. Total Inequality100%resident has the sameincome would have a Giniindex of 0.G1=0ZZ00G2>0G3>G2G4=1A country in which oneresident earned all the0%0%100%0%100% 0%100% ICumulative%PopulationCumulative%PopulationCumulative 100% 0%%PopulationCumulative%Populationincome, while everyoneelse earned nothing, would have a Gini index of 1.Final shaded Area then Mult by 2Lorenz Curve - Ukraine 2020The Gini index is defined to be two times the area betweenthe line of perfect equality (y = x) and the Lorenz curve. (TheLorenz curve shows the percentage of income held by eachpercentile of the country's population. As an example, theLorenz curve would plot a point at (50, 20) if the bottom 50%of the population held 20% of the country's income.)y = 1.5625x5 -2.5781x + 1.3438x³+0.2406x² + 0.4313x10.8<-Ukraine -Line of Equality0.60.40.2Talks were underway for Ukraine to join the European Unionan alliance which currently includes the countries of Austria,Belgium, Bulgaria, Croatia, Cyprus, Czechia, Denmark, Estonia,Finland, France, Germany, Greece, Hungary, Ireland, Italy,Latvia, Lithuania, Luxembourg, Malta, Netherlands, Poland,Portugal, Romania, Slovakia, Slovenia, Spain and Sweden.000.40.810.20.6Cumulative Percentage of the PopulationArea = 112We are going to compare the income distribution of Ukraine with that of Poland, a country in the EU which isgeographically close to Ukraine.1. Above is a plot of the line of equality and the Lorenz curve for Ukraine in 2020. Shade the area we need tofind first so that we can calculate the Gini index. Then, write an expression for THIS AREA that includes adefinite integral.2. Use the integral expression you wrote in #1 and the Fundamental Theorem of Calculus to find the Giniindex for Ukraine in the year 2020. Show the substitutions necessary, but use fnint to do the calculation.Cumulative Wealth

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Linear Algebra: A Modern Introduction

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ISBN:9781285463247

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Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

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If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use it to find a second model for the data. Graph this new equation along with your first model. How do they compare?
A) Sometimes data needs to be re-categorized for proper analysis. A common piece of data that researchers or business analysts re-categorize from being a quantitative, continuous variable into a qualitative, binary variable is age. We normally think of people’s ages as ranging from 0 to a maximum of, well, let’s say 100. But to most folks in the business community, there really is no difference between someone aged 47 or 48 because often their spending habits are exactly the same. Therefore, it is often useful to apply a qualitative label to people’s ages instead of a number because people within the same age brackets (or bins) have similar spending habits, and those spending habits are often quite different from those in other brackets. You hear about the different age brackets colloquially all the time – some people are toddlers, others are teenagers, others are young adults, and still others are retirees or seniors. Isn’t it fair to say that your generation’s purchases of iPads…
Gini coefficient is a statistic used to measure income inequality within nations. It ranges from 0 to 100, with higher scores indicating more inequality. At the extremes, a Gini score of 0 would mean that everyone in the country earns the exact same income, and a Gini score of 100 would mean that only one person in the country earns all the income. Some people argue that the larger a nation is, the more difficult it is to maintain a fair distribution of incomes. In other words, does income inequality increase as population size increases? You can test this question by conducting a bivariate regression on the data in the table below. ***Must show work on PDF for completing this computational table and for the following 9 questions*** Country (1) X: Population (in millions) (2) Y: Gini Score (3) (4) (5) (6) (7) Sweden 8 27 Ethiopia 77 29 Switzerland 11 43 Laos 6 45…
Gini coefficient is a statistic used to measure income inequality within nations. It ranges from 0 to 100, with higher scores indicating more inequality. At the extremes, a Gini score of 0 would mean that everyone in the country earns the exact same income, and a Gini score of 100 would mean that only one person in the country earns all the income. Some people argue that the larger a nation is, the more difficult it is to maintain a fair distribution of incomes. In other words, does income inequality increase as population size increases? You can test this question by conducting a bivariate regression on the data in the table below. Throughout calculating, and for the final answer, round to two decimals. Country (1) X: Population (in millions) (2) Y: Gini Score (3) (4) (5) (6) (7) Sweden 8 27 Ethiopia 77 29 Switzerland 14 43 Laos 6 45 UK 58 35…
Gini coefficient is a statistic used to measure income inequality within nations. It ranges from 0 to 100, with higher scores indicating more inequality. At the extremes, a Gini score of 0 would mean that everyone in the country earns the exact same income, and a Gini score of 100 would mean that only one person in the country earns all the income. Some people argue that the larger a nation is, the more difficult it is to maintain a fair distribution of incomes. In other words, does income inequality increase as population size increases? You can test this question by conducting a bivariate regression on the data in the table below. Throughout calculating, and for the final answer, round to two decimals. Country (1) X: Population (in millions) (2) Y: Gini Score (3) (4) (5) (6) (7) Sweden 8 27 Ethiopia 77 29 Switzerland 14 43 Laos 6 45 UK 58 35…
Two-Way Chi Square Problem According to the graphs inserted below does social class (CLASS) have an effect on attitudes toward spanking (SPANKING)?
IXL. | Scatter plots: line of best fit X + Mail - Zonobia A. Kelley- Outlc X A ixl.com/math/grade-8/scatter-plots-line-of-best-fit EIXL Personalized .. e Product Login | Ed... Tutorial O Le Mail - Zonobia A. K.. SHome Schoology YouTube Maps IXL | Math, Languag... Apps M Gmail What is the equation of the trend line in the scatter plot? 10 6. 8. 4 1 2 3 4 6. 7 8 9 10 Use the two orange points to write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form. e Type here to search 6, 3. 2.
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Two-dimension coding of quantitative data in charts is not the best practice? True or false?
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Define Bivariate Analysis?
The accompanying table includes only countries in the top ten in a certain year for both production and consumption of energy . (Energy units are quadrillion Btu.) Population is for midyear of a certain year, in millions . The given box plot shows consumption in quadrillion Btu. Complete parts (a) through (c) below. please help

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