Multiple Choice
Which value of the Pearson correlation coefficient provides the strongest evidence that there is a linear correlation between the data?
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11. Correlation
Correlation Coefficient
Multiple Choice
Which of the following can be used to show a cause-and-effect relationship between two variables?
A
A controlled experiment
B
A scatterplot with a linear pattern
C
A high correlation coefficient
D
A regression line
Verified step by step guidance1
Understand the difference between correlation and causation: Correlation measures the strength and direction of a relationship between two variables, but it does not imply that one variable causes the other.
Recognize that a scatterplot with a linear pattern visually shows a relationship between two variables, but it cannot prove cause and effect on its own.
Know that a high correlation coefficient quantifies the strength of a linear relationship but does not establish causality.
Learn that a regression line models the relationship between variables and can predict values, but it also does not prove cause and effect by itself.
Identify that a controlled experiment is designed to test cause-and-effect relationships by manipulating one variable (independent variable) and observing the effect on another variable (dependent variable) while controlling other factors.
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