Question

Statements about regression

Which of the following are true about regression with one predictor variable (often called "simple regression")?
A. The total squared error divided by its degrees of freedom is the square of the standard error of estimate
B. The standardized regression coefficient, beta, has the same value as r, the estimated correlation
C. After conducting a hypothesis test to test that the slope of the regression equation is nonzero, you can conclude that your predictor variable, X, causes Y

Answer 1

Follows are the solution to this question:

Explanation:

• It is true because the square of the standard error of its estimate was its total square error divided only by the degree of freedom.
• It is true because Its coefficient with Standardized Regression, beta, will have the same value as r, the approximate similarity.
• It is false because Its slope b, of its equation of regression, will have the same value as r, the projected correlation.