
AP Stats Chapter 3 Multiple Choice Review

Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What does a correlation coefficient (r) of 0.51 indicate about the relationship between two variables?
Back
A correlation coefficient (r) of 0.51 indicates a moderate positive linear relationship between the two variables.
2.
FLASHCARD QUESTION
Front
How is the percentage of variation explained by the least squares regression line calculated from the correlation coefficient?
Back
The percentage of variation explained is calculated as r² (the square of the correlation coefficient). For r = 0.51, r² = 0.2601, or approximately 26%.
3.
FLASHCARD QUESTION
Front
What effect do outliers have on the correlation coefficient?
Back
Outliers can significantly affect the correlation coefficient, potentially skewing the value and misrepresenting the strength of the relationship.
4.
FLASHCARD QUESTION
Front
What is the relationship between correlation coefficients r1, r2, and r3 if r2 < r1 < r3?
Back
This indicates that the strength of the correlation increases from r2 to r1 to r3, meaning r3 represents the strongest correlation among the three.
5.
FLASHCARD QUESTION
Front
What can be concluded about the correlation when points on a scatterplot form an ellipse?
Back
When points form an ellipse, the correlation is not strong; as the ellipse becomes thinner, the correlation may increase, but no definitive conclusion can be drawn without further analysis.
6.
FLASHCARD QUESTION
Front
What is the range of possible values for a correlation coefficient?
Back
The range of possible values for a correlation coefficient is from -1 to 1.
7.
FLASHCARD QUESTION
Front
What does a correlation coefficient of 1 indicate?
Back
A correlation coefficient of 1 indicates a perfect positive linear relationship between two variables.
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