Asked by Dinero Hughes on May 02, 2024
Verified
Given the least squares regression line ,and a coefficient of determination of 0.81,the coefficient of correlation is:
A) −0.66
B) 0.81
C) −0.90
D) 0.90
Least Squares Regression
A method to estimate the coefficients of a regression line by minimizing the sum of the squares of the differences between observed and predicted values.
Coefficient of Determination
A statistical measure that determines the proportion of variance in the dependent variable predictable from the independent variable(s).
Coefficient of Correlation
This is a statistical measure that calculates the strength and direction of the relationship between two continuous variables.
- Comprehend how the correlation coefficient is related to the coefficient of determination.
Verified Answer
ZK
Zybrea KnightMay 05, 2024
Final Answer :
D
Explanation :
The coefficient of determination, denoted by R^2, is equal to the square of the coefficient of correlation, denoted by r. So, taking the square root of 0.81 gives us r = 0.9. Therefore, the correct answer is D, 0.90.
Learning Objectives
- Comprehend how the correlation coefficient is related to the coefficient of determination.