Asked by Julian Torres on May 01, 2024
Verified
If the coefficient of determination is 0.767,what is correlation between the two variables?
A) 0.246
B) 0.496
C) 0.504
D) 0.876
Coefficient of Determination
A statistic that indicates the proportion of the variance in the dependent variable predictable from the independent variable(s).
Correlation
A quantitative measure that indicates the extent to which two or more variables fluctuate together.
- Become familiar with the process and relevance of determining the correlation coefficient and the coefficient of determination.
Verified Answer
ZK
Zybrea KnightMay 04, 2024
Final Answer :
D
Explanation :
The coefficient of determination is also known as R-squared and is the square of the correlation coefficient (r).
R-squared = 0.767
r^2 = 0.767
r = sqrt(0.767) = 0.876
Therefore, the correlation between the two variables is 0.876, which is best represented by choice D.
R-squared = 0.767
r^2 = 0.767
r = sqrt(0.767) = 0.876
Therefore, the correlation between the two variables is 0.876, which is best represented by choice D.
Learning Objectives
- Become familiar with the process and relevance of determining the correlation coefficient and the coefficient of determination.