Correlation
Definition
Correlation refers to the statistical measure of how two variables are related to each other. It indicates both the strength and direction of their relationship.
Analogy
Imagine two friends walking together in a park. If they walk in sync and always stay close to each other, they have a high positive correlation. However, if one friend walks faster while the other lags behind, they have a negative correlation.
Related terms
Scatterplot: A scatterplot is a graph used to display the relationship between two quantitative variables.
Coefficient of Determination (R-squared): R-squared measures how well data points fit into a regression line, indicating how much variation in one variable can be explained by another.
Outliers: Outliers are extreme values that deviate significantly from other data points and can affect correlation results.
"Correlation" appears in:
Study guides (5)
AP Statistics - 2.5 Correlation
AP Statistics - 2.9 Analyzing Departures from Linearity
AP Statistics - 9.1 Introducing Statistics: Do Those Points Align?
AP Statistics - 9.3 Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval
AP Statistics - 9.4 Setting Up a Test for the Slope of a Regression Model
Practice Questions (5)
- Which of the following statements about correlation is true?
- Which of the following statements accurately describes the role of correlation in statistical analysis?
- What does the confidence interval (1.35, 2.7) suggest about the correlation?
- If a confidence interval for the slope of a linear regression model is (-1.8, -0.2), what does this imply about the correlation between the variables?
- What is the relationship between correlation and causation in the context of bivariate categorical data?
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