Practice Correlation in Statistics
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A statistical relationship between two variables where changes in one are associated with changes in the other.
When one thing goes up and another tends to go up with it (like study time and test scores), that's positive correlation. When one goes up and the other goes down (like TV time and exercise), that's negative correlation. They 'move together' in some pattern.
Example 1
mediumA scatter plot shows that as hours of study increase, test scores tend to increase. Describe the correlation and state whether it implies causation.
Example 2
mediumClassify each as positive correlation, negative correlation, or no correlation: (a) Temperature and ice cream sales. (b) Shoe size and IQ. (c) Hours of TV watched and exercise done.
Example 3
mediumA study finds a strong positive correlation between the number of firefighters at a fire and the damage caused. Does this mean sending more firefighters causes more damage? Explain.
Example 4
mediumA scatter plot shows that as outside temperature increases, hot chocolate sales decrease. Describe the correlation and explain why this pattern does not by itself prove temperature is the only cause.