Asked by kyaira jackson on May 30, 2024
Verified
If there is no linear relationship between two variables x and y,the coefficient of determination must be −1.0.
Coefficient Of Determination
A statistical measure, represented as R^2, that assesses how well a model explains and predicts the outcome variable.
Linear Relationship
A relationship style between two variables in which alterations in one variable correspond with comparative changes in the other.
- Acquire insight into the interplay between the coefficient of determination, the coefficient of correlation, and the standard error of the estimate in relation to regression analysis.
Verified Answer
NA
nasser alnasserJun 03, 2024
Final Answer :
False
Explanation :
The coefficient of determination, also known as R-squared, measures the amount of variance in one variable (y) that can be explained by another variable (x) using a linear regression model. If there is no linear relationship between x and y, the coefficient of determination will be 0, not -1. A negative value of R-squared is not possible.
Learning Objectives
- Acquire insight into the interplay between the coefficient of determination, the coefficient of correlation, and the standard error of the estimate in relation to regression analysis.