Consider a two-variables linear regression model
where and are the parameters, and is the error term.
The parameters are estimated using the Ordinary Least Squares (OLS) method. Let denote the estimated value of . If , then which one of the following statements is CORRECT?
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Consider a two-variables (x,y) linear regression model y = α + β x + ε where α and β are the parameters, and ε is the error term. The parameters are estimated using the Ordinary Least Squares (OLS) method. Let b denote the estimated value of β. If b=0, then which one of the following statements is CORRECT? (A) R² can be any real number in (0, 0.5] (B) R² can be any real number in (0.5, 1) (C) R² is any positive real number greater than 1 (D) R² = 0
Also written as: Consider a two-variables (x,y) linear regression model y = alpha + beta x + epsilon where alpha and beta are the parameters, and epsilon is the error term. The parameters are estimated using the Ordinary Least Squares (OLS) method. Let b denote the estimated value of beta. If b=0, then which one of the following statements is CORRECT?
Goodness of fit and model selection has come up 27 times in 6 exams since 2009.
This question is on R-squared and the coefficient of determination, part of Goodness of fit and model selection in Econometrics.
The share of variation in the dependent variable that the regression explains.
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