Understanding and Interpreting Ratio Scale Graphs
A ratio scale on a graph's vertical axis is a tool designed to make comparing growth rates across different time periods easier. The scale is constructed so that the vertical gap between gridlines represents a constant ratio—for example, a doubling, which corresponds to a 100% increase. The primary effect of using a ratio scale is that the slope of the plotted line at any point is equal to the variable's growth rate. Consequently, a variable that grows at a constant rate will be depicted as a straight line on a ratio scale graph, while a steeper line indicates a faster rate of growth.
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Understanding and Interpreting Ratio Scale Graphs
An economist plots the GDP per capita of two countries, Country X and Country Y, from 2000 to 2020 on a graph with a ratio scale on the vertical axis. In 2000, Country X had a much higher GDP per capita than Country Y. However, over the 20-year period, Country Y experienced a significantly faster average annual growth rate than Country X. Based on this information, which statement best describes how the two lines would appear on the graph?
Choosing the Right Economic Visualization
Consider two countries, Country A and Country B. In a given year, Country A's income per person is $40,000 and it increases by $2,000 the following year. In the same period, Country B's income per person is $10,000 and it increases by $1,000. Which of the following statements provides the most accurate economic comparison?
An economic historian is studying two countries, Alpha and Beta, over a 50-year period. She plots their income per person on a graph where the vertical axis uses a ratio scale. The line for Country Alpha starts at a much higher point on the axis than the line for Country Beta. Over the 50 years, the line for Alpha is nearly flat, while the line for Beta is a steep, upward-sloping straight line. What is the most accurate conclusion the historian can draw from this graph?
Evaluating an Economic Analysis
When examining a graph that plots a country's income per person over several decades using a ratio scale on the vertical axis, a straight, upward-sloping line signifies that the absolute (e.g., dollar amount) increase in income per person was constant year after year.
Evaluating an Investment Recommendation
Interpreting Economic Performance
An economic analyst is comparing two countries, Country A and Country B. In 1990, Country A's income per person was ten times that of Country B. Over the subsequent 30 years, Country A's income per person grew at an average rate of 1% per year, while Country B's grew at an average rate of 7% per year. Which of the following statements provides the most accurate analysis of their relative economic situations after this 30-year period?
An economic historian is comparing the long-term development of two nations, Country A and Country B, by plotting their income per person on a graph with a ratio scale on the vertical axis. Historical data reveals the following:
- Country A had a relatively high income per person 300 years ago and has experienced a slow but consistent proportional increase in income ever since.
- Country B had a very low income per person 300 years ago, which remained stagnant for the first 250 years, but has grown at an extremely rapid proportional rate over the last 50 years.
Which of the following statements best describes how the plots for these two countries would appear on the graph?
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Learn After
The GDP per capita of Greece was 22,494 USD in 2012 and 21,966 USD in 2013. Based on these figures, the growth rate of GDP between 2012 and 2013 (to two decimal places) was:
Imagine that the GDP per capita of a country had doubled every 100 years. You are asked to draw both linear and ratio scale graphs that plot GDP on the vertical axis, and the year on the horizontal axis. What will be the shapes of the curves?
Consider a graph plotting GDP per capita on the vertical axis (using a ratio scale) against time on the horizontal axis for two countries, Country X and Country Y, from 1990 to 2020. The line for Country X is consistently steeper than the line for Country Y throughout this entire period. However, the line for Country Y is always positioned above the line for Country X. Based on this information, which of the following statements can be concluded?
Interpreting Economic Growth on a Ratio Scale Graph
On a graph where the vertical axis uses a ratio scale, a straight, upward-sloping line indicates that the plotted variable is increasing by the same absolute amount in each time period.
On a graph with a ratio scale on the vertical axis, a country's GDP per capita is plotted over time. The resulting line is initially steep and upward-sloping, then becomes less steep but still upward-sloping, and finally becomes horizontal. What does this pattern indicate about the country's economic performance over this period?
Translating Economic History to a Ratio Scale Graph
On a graph with a ratio scale on the vertical axis and time on the horizontal axis, match each line description to its correct interpretation of the variable's growth rate.
Choosing the Right Graph for Economic Analysis
The table below shows a country's GDP per capita over a four-year period.
Year GDP per Capita 1 $10,000 2 $11,000 3 $13,200 4 $17,160 Which of the following descriptions best represents how this data would appear on a graph with a ratio scale on the vertical axis and time on the horizontal axis?
Example of Constant Growth on a Ratio Scale: UK GDP