Asked by Dinero Hughes on May 02, 2024

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Given the least squares regression line 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 ,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.
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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.