Asked by Lauren Hammons on May 17, 2024
Verified
If the coefficient of determination between two variables is .81,what is the Pearson's correlation coefficient?
A) 0.19
B) 0.34
C) 0.66
D) 0.90
Pearson's Correlation Coefficient
A statistical measure of the linear relationship between two variables, ranging from -1 to 1.
Coefficient of Determination
A statistical measure, often represented as R^2, that represents the proportion of variance for a dependent variable that's predictable from an independent variable(s).
- Identify the use and understanding of the coefficient of determination's role.
Verified Answer
SJ
Shivaashini JayakumarMay 21, 2024
Final Answer :
D
Explanation :
The coefficient of determination (R^2) is the square of the Pearson's correlation coefficient (r). Given R^2 = .81, taking the square root gives r = ±0.9. However, since Pearson's correlation coefficient values are provided as positive, the correct answer is 0.90.
Learning Objectives
- Identify the use and understanding of the coefficient of determination's role.
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