Asked by Aikunduz Baltabaeva on Jul 06, 2024
Verified
If the correlation between two variables is 0.876,how much of the variance has been accounted for?
A) 24.6%
B) 49.6%
C) 59.1%
D) 76.7%
Variance Accounted
The proportion of total variation in a dataset that is explained by a statistical model.
Correlation
A statistical measure that expresses the extent to which two variables change together; indicating the strength and direction of a relationship.
- Gain insight into the methods and importance of the correlation coefficient and the coefficient of determination.
Verified Answer
PG
Pierre GérardJul 11, 2024
Final Answer :
D
Explanation :
The coefficient of determination (r-squared) gives the proportion of variance in one variable that can be explained by the other variable. Squaring the correlation coefficient gives us the coefficient of determination, which in this case is (0.876)^2 = 0.767, or 76.7%. Therefore, the answer is D.
Learning Objectives
- Gain insight into the methods and importance of the correlation coefficient and the coefficient of determination.