Asked by Shailee Woods on Jul 22, 2024
Verified
In a regression analysis, the regression equation is given by y = 12 - 6x.If SSE = 510 and SST = 1000, then the coefficient of correlation is
A) -.7.
B) +.7.
C) .49.
D) -.49.
Coefficient Of Correlation
A statistical metric that assesses the intensity of the association between the relative changes of two variables.
Regression Equation
An equation that describes the relationship between independent variables and a dependent variable, often used to predict the latter from the former.
SSE
Stands for Sum of Squared Errors, a measure of the variation or dispersion of data points around a regression line or mean.
- Discern the relationship between the coefficient of determination and the coefficient of correlation.
Verified Answer
AM
Aniyah MartinezJul 27, 2024
Final Answer :
A
Explanation :
The coefficient of determination (R^2) is calculated as 1 - (SSE/SST) = 1 - (510/1000) = 0.49. The coefficient of correlation (R) is the square root of R^2, which gives ±0.7. Given the negative slope (-6) in the regression equation, the correlation is negative, hence -.7.
Learning Objectives
- Discern the relationship between the coefficient of determination and the coefficient of correlation.