Correlation Coefficient
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+5
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the correlation coefficient (r)?
Back
The correlation coefficient (r) is a statistical measure that describes the strength and direction of a relationship between two variables, ranging from -1 to 1.
Tags
CCSS.HSS.ID.C.8
2.
FLASHCARD QUESTION
Front
What does a correlation coefficient of r = 0.89 indicate?
Back
A correlation coefficient of r = 0.89 indicates a strong positive linear relationship between the two variables.
Tags
CCSS.HSS.ID.B.5
3.
FLASHCARD QUESTION
Front
What is the coefficient of determination (R²)?
Back
The coefficient of determination (R²) is the proportion of the variance in the dependent variable that is predictable from the independent variable, calculated as the square of the correlation coefficient.
Tags
CCSS.HSS.ID.B.6B
4.
FLASHCARD QUESTION
Front
If the coefficient of determination is 0.72, what percentage of the variation is explained?
Back
72% of the variation in the dependent variable is explained by the independent variable.
Tags
CCSS.HSS.ID.B.6B
5.
FLASHCARD QUESTION
Front
How do you calculate the coefficient of determination from the correlation coefficient?
Back
The coefficient of determination (R²) is calculated by squaring the correlation coefficient (r). For example, if r = 0.865, then R² = 0.865² = 0.748.
Tags
CCSS.HSS.ID.B.6B
6.
FLASHCARD QUESTION
Front
What does a coefficient of determination of 0.748 mean?
Back
A coefficient of determination of 0.748 means that approximately 74.8% of the variance in the dependent variable can be explained by the independent variable.
Tags
CCSS.HSS.ID.B.6B
7.
FLASHCARD QUESTION
Front
What does the coefficient of determination tell us about the data?
Back
The coefficient of determination tells us the percentage of data that is on the line of best fit, indicating how well the model explains the data.
Tags
CCSS.HSS.ID.B.5
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