Correlation Statistics Example 1
Follow the full solution, then compare it with the other examples linked below.
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.
Solution
- 1 Step 1: As one variable increases, the other also increases — this is a positive correlation.
- 2 Step 2: Correlation describes a pattern but does not prove causation. There may be other factors (e.g., motivation, prior knowledge).
- 3 Step 3: We can say study hours and test scores are positively correlated, but we cannot conclude that studying more directly causes higher scores without a controlled experiment.
Answer
Positive correlation. Correlation does not imply causation.
Correlation measures the strength and direction of a linear relationship between two variables. Establishing causation requires controlled experiments that rule out confounding variables.
About Correlation
Correlation is a statistical relationship between two variables where changes in one are associated with changes in the other. Positive correlation means both increase together; negative correlation means one increases as the other decreases; no correlation means no consistent pattern.
Learn more about Correlation →More Correlation Examples
Example 2 medium
Classify each as positive correlation, negative correlation, or no correlation: (a) Temperature and
Example 3 mediumA study finds a strong positive correlation between the number of firefighters at a fire and the dam
Example 4 mediumA scatter plot shows that as outside temperature increases, hot chocolate sales decrease. Describe t