Which of the following statements is True of model F statistics?
A) A larger F statistic indicates that the regression model has more explained variance than error variance.
B) An F statistic shows the change in the dependent variable for each unit change in the independent variable.
C) Analysis of linear relationships between a dependent variable and multiple independent variables requires that F statistics be smaller than beta coefficients.
D) Bivariate regression becomes multiple regression analysis when F statistics are used.
E) Standardization using beta coefficient augments the effects of using different scales of measurement.

Question

Quizplus · Accepted Answer

The F statistic measures the ratio of explained variance to error variance, so a larger F statistic indicates that the model is better at explaining the dependent variable. Option B refers to the coefficient of the independent variable, not the F statistic. Option C is incorrect as there is no requirement that F statistics be smaller than beta coefficients. Option D is incorrect as multiple regression is simply an extension of bivariate regression, and F statistics are used in both. Option E is incorrect as standardizing variables using beta coefficients helps to compare the relative importance of different independent variables, but it does not augment the effects of using different scales of measurement.

Which of the Following Statements Is True of Model F