Multiple Choice
Which of the following is a measure of how well the regression fits the sample data?
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11. Correlation
Correlation Coefficient
Multiple Choice
Which of the following is not one of the three common errors involving (correlation)?
A
Using a scatterplot to visually assess the strength of a relationship
B
Assuming that (correlation) implies causation
C
Ignoring the possibility of lurking variables
D
Assuming a linear relationship when the association is actually nonlinear
Verified step by step guidance1
Step 1: Understand what correlation measures — it quantifies the strength and direction of a linear relationship between two variables.
Step 2: Identify common errors involving correlation: (a) Assuming correlation implies causation, which is a logical fallacy because correlation does not prove one variable causes the other.
Step 3: Recognize ignoring lurking variables as a common error, where hidden variables may influence the observed correlation, leading to misleading conclusions.
Step 4: Note that assuming a linear relationship when the actual association is nonlinear is an error because correlation only measures linear relationships and can miss nonlinear patterns.
Step 5: Understand that using a scatterplot to visually assess the strength of a relationship is not an error; in fact, scatterplots are a recommended tool to explore and visualize relationships before calculating correlation.
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