Table of contents
- 1. Intro to Stats and Collecting Data55m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically1h 45m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables2h 33m
- 6. Normal Distribution and Continuous Random Variables1h 38m
- 7. Sampling Distributions & Confidence Intervals: Mean1h 3m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- 9. Hypothesis Testing for One Sample1h 1m
- 10. Hypothesis Testing for Two Samples2h 8m
- 11. Correlation48m
- 12. Regression1h 4m
- 13. Chi-Square Tests & Goodness of Fit1h 20m
- 14. ANOVA1h 0m
1. Intro to Stats and Collecting Data
Intro to Stats
Problem 1.1.33
Textbook Question
In Exercises 29–36, identify what is wrong.
Cell Phones and Pirates In recent years, the numbers of cell phones and the numbers of pirates have both increased, so there is a correlation, or association, between those two variables. Therefore, pirates cause increases in cell phones.

1
Identify the type of correlation: The problem describes a correlation between the number of cell phones and the number of pirates. Correlation measures the strength and direction of a linear relationship between two variables.
Understand correlation vs causation: Correlation does not imply causation. Just because two variables are correlated does not mean that one causes the other to change.
Consider alternative explanations: There could be other factors or variables that are influencing both the number of cell phones and the number of pirates, leading to a spurious correlation.
Evaluate the logical fallacy: The statement 'pirates cause increases in cell phones' is an example of a post hoc fallacy, where it is incorrectly assumed that because one event follows another, the first event must be the cause of the second.
Conclude with the correct interpretation: The correlation between the number of cell phones and the number of pirates is likely coincidental or due to an external factor, and there is no evidence to support a causal relationship between the two variables.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Correlation vs. Causation
Correlation refers to a statistical relationship between two variables, indicating that they change together. However, it does not imply that one variable causes the other. In the given example, while both cell phone usage and the number of pirates have increased, this does not mean that the rise in pirates is responsible for the increase in cell phones.
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Spurious Correlation
A spurious correlation occurs when two variables appear to be related but are actually influenced by a third variable or are coincidental. In this case, the increase in both cell phones and pirates could be due to other factors, such as technological advancements or changes in communication, rather than a direct cause-and-effect relationship.
Statistical Misinterpretation
Statistical misinterpretation happens when data is incorrectly analyzed or conclusions are drawn without proper context. The statement in the question misinterprets the correlation between cell phones and pirates, leading to an erroneous conclusion that one causes the other, which highlights the importance of critical thinking in statistical analysis.
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