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What are the differences between an Outlier and an Influential Point?
Outlier: A point far from the rest of the data. | Influential Point: A point that significantly changes the regression line.
What are the differences between an Influential Point and a High Leverage Point?
Influential Point: A point that significantly changes the regression line. | High Leverage Point: A point with an extreme x-value that can pull the regression line towards it.
What are the differences between Explanatory and Response Variables?
Explanatory Variable: The variable that is thought to cause a change in another variable. | Response Variable: The variable that responds to changes in the explanatory variable.
What are the differences between Positive and Negative Direction in a scatterplot?
Positive Direction: As x increases, y tends to increase. | Negative Direction: As x increases, y tends to decrease.
What are the differences between Strong and Weak Strength in a scatterplot?
Strong Strength: Points are tightly clustered around the form. | Weak Strength: Points are very spread out with no clear pattern.
What is the definition of Bivariate Data?
Data involving two quantitative variables to determine if a relationship exists.
What is the definition of Explanatory Variable?
The variable (x) that is thought to influence changes in another variable.
What is the definition of Response Variable?
The variable (y) that responds to changes in the explanatory variable.
What is the definition of an Outlier?
A data point that is far away from the rest of the data.
What is the definition of an Influential Point?
A point that significantly changes the regression line.
What is the definition of a High Leverage Point?
A point with an extreme x-value that can pull the regression line towards it.
Explain the concept of a Scatterplot.
A visual representation of the relationship between two quantitative variables, with the explanatory variable on the x-axis and the response variable on the y-axis.
Explain the concept of Form in describing scatterplots.
The overall shape of the data points in a scatterplot (linear or curved).
Explain the concept of Direction in describing scatterplots.
The trend of the data points in a scatterplot (positive or negative).
Explain the concept of Strength in describing scatterplots.
How closely the points fit the form (strong, moderate, or weak).
Explain the importance of context when describing scatterplots.
Describing scatterplots in context is crucial for interpreting the relationship between the variables in a meaningful way and getting full credit on the AP exam.
Explain the concept of clusters in the context of scatterplots.
Clusters are groups of data points that are close together in a scatterplot, indicating a concentration of data in a specific region.