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Interpreting Data on Different Scales
An economist plots a country's Gross Domestic Product (GDP) from 1990 to 2020 on two different graphs.
- On a graph with a standard linear vertical axis, the data forms a curve that becomes increasingly steep over time.
- On a second graph with a ratio (logarithmic) vertical axis, the same data forms an almost perfectly straight, upward-sloping line.
Explain what the straight line on the second graph reveals about the country's economic growth pattern during this period, and why this same pattern appears as a steepening curve on the first graph.
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Social Science
Empirical Science
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CORE Econ
Economics
Economy
Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.2 Technology and incentives - The Economy 2.0 Microeconomics @ CORE Econ
Analysis in Bloom's Taxonomy
Cognitive Psychology
Psychology
Related
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Choosing the Appropriate Scale for Data Visualization
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Interpreting Rate of Change on a Ratio Scale
Analyzing Growth Rates with Appropriate Chart Scales
An analyst is tracking the market adoption of a new technology. The data shows that the number of users is doubling approximately every six months. The analyst wants to create a chart that most clearly illustrates whether this constant rate of growth is being maintained over several years. Which of the following chart configurations would be the most effective for this specific purpose?
A graph plots the cost per unit for two different technologies, A and B, over a ten-year period. The vertical axis uses a ratio scale, where each major gridline represents a halving of the cost (e.g., $100, $50, $25). Both technologies are represented by straight, downward-sloping lines, but the line for Technology A is steeper than the line for Technology B. What can be concluded by comparing the two lines?
On a graph where the vertical axis uses a ratio scale (e.g., each major gridline represents a halving of the value), a straight, downward-sloping line indicates that the variable being measured is decreasing by the same absolute amount in each time period.
Interpreting Data on Different Scales
An analyst is creating charts to visualize different data trends over time. The charts all use a standard linear scale for the horizontal (time) axis, but a ratio (logarithmic) scale for the vertical axis. Match each described data trend with how it would appear as a line on this specific type of chart.
Interpreting Rate of Change on a Ratio Scale