Math Problem Statement
Solution
The scatterplot shown in the question depicts a negative correlation, where one variable decreases as the other increases. Let’s analyze the options to find the most plausible answer:
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Option A: The population of a city and the number of houses in the city.
This likely has a positive correlation, as more population typically results in more houses. -
Option B: The population of a city and the number of letters in the city’s name.
There is no reasonable relationship between population and the number of letters in a city's name. -
Option C: The number of cars in a city and the pollution level of the city.
This could show a positive correlation because more cars typically result in higher pollution, not the negative trend observed. -
Option D: The number of buildings in a city and the number of trees in the city.
This is the best match, as a negative correlation could exist—more buildings may lead to fewer trees due to urban development.
Correct Answer: D.
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Related Questions:
- How do positive and negative correlations differ in scatterplots?
- What are real-world examples of variables that exhibit negative correlation?
- What factors influence correlations between urban development and environmental features?
- How can scatterplots be used to predict future trends in data?
- Why might some variables have no correlation?
Tip: When interpreting scatterplots, always evaluate whether the relationship between the two variables makes logical sense.
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Math Problem Analysis
Mathematical Concepts
Scatterplots
Correlation Analysis
Negative Correlation
Formulas
No specific formula used
Theorems
Correlation and Causation
Suitable Grade Level
Grades 8-10
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