Recall the power law: Y=kX-a or equivalently logY=logk-alog.X Suppose that using the data, you plug in households' incomes into X, and the percentile of the households when ranked by incomes into Y. You find that a=1. Which of the following are true? Question 3 Select one or more: a. In the longer-run, the slope, a, is likely to become higher than 1. b. Incomes should follow a log-normal distribution, so the distribution of log(incomes) should have a bell-shape. c. The slope, a=1, indicates that the U.K. is in a long-run steady state. d. Incomes explode proportionately at the top with rank, so logging them by rank makes it easier to understand the income differences between very rich people. e. A smaller value of a means less income concentration.
Recall the power law: Y=kX-a or equivalently logY=logk-alog.X Suppose that using the data, you plug in households' incomes into X, and the percentile of the households when ranked by incomes into Y. You find that a=1. Which of the following are true? Question 3 Select one or more: a. In the longer-run, the slope, a, is likely to become higher than 1. b. Incomes should follow a log-normal distribution, so the distribution of log(incomes) should have a bell-shape. c. The slope, a=1, indicates that the U.K. is in a long-run steady state. d. Incomes explode proportionately at the top with rank, so logging them by rank makes it easier to understand the income differences between very rich people. e. A smaller value of a means less income concentration.
Chapter1: Making Economics Decisions
Section: Chapter Questions
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![Recall the power law: Y=kX-a or equivalently logY=logk-alog.X Suppose that using the data, you plug in households'
incomes into X, and the percentile of the households when ranked by incomes into Y. You find that a=1. Which of the
following are true?
Question 3 Select one or more:
a. In the longer-run, the slope, a, is likely to become higher than 1.
b. Incomes should follow a log-normal distribution, so the distribution of log(incomes) should have a bell-shape.
c. The slope, a=1, indicates that the U.K. is in a long-run steady state.
d. Incomes explode proportionately at the top with rank, so logging them by rank makes it easier to understand the
income differences between very rich people.
e. A smaller value of a means less income concentration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4527fb40-0ee6-4827-86b0-473997c7ed61%2Ff72adea5-10c4-44d2-b07c-13427d12a877%2F12b18eb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Recall the power law: Y=kX-a or equivalently logY=logk-alog.X Suppose that using the data, you plug in households'
incomes into X, and the percentile of the households when ranked by incomes into Y. You find that a=1. Which of the
following are true?
Question 3 Select one or more:
a. In the longer-run, the slope, a, is likely to become higher than 1.
b. Incomes should follow a log-normal distribution, so the distribution of log(incomes) should have a bell-shape.
c. The slope, a=1, indicates that the U.K. is in a long-run steady state.
d. Incomes explode proportionately at the top with rank, so logging them by rank makes it easier to understand the
income differences between very rich people.
e. A smaller value of a means less income concentration.
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