r2=0.25(Type an integer or a decimal.Do not round.) What is the meaning of r2? A.(1-r2)100%of the variation in the independent variable cannot be explained by the variation in the dependent variable. OB.1-2 of the variation in the dependent variable cannot be explained by the variation in the independent variable. C.2 of the variation in the independent variable can be explained by the variation in the dependent variable. OD.2.100%of the variation in the dependent variable can be explained by the variation in the independent variable.

How do you interpret a coefficient of determination, r², equal to 0.14? Choose the correct answer below. A The interpretation is that 86% of the variation in the independent variable can be explained by the variation in the dependent variable. OB. The interpretation is that 0.14% of the variation in the independent variable can be explained by the variation in the dependent variable. OC. The interpretation is that 0.86% of the variation in the dependent variable can be explained by the variation in the independent variable. OD. The interpretation is that 14% of the variation in the dependent variable can be explained by the variation in the independent variable.

The coefficient of determination, r2, represents:Group of answer choicesDirection and strength of a correlationProbability that the data resulted by random chanceThe amount of skew in a distributionThe amount that data deviate from the mean valueThe proportion of total variation explained by a linear correlation

Which two of the of the following statements are correct regarding R2 as a tool to evaluate a regression model. Multiple answers allowed.a.The R2 is the proportion of the total variation in X that can be explained by the variation in the dependent variable in the model.b. If the R2 value is greater than 1, then it shows that the regression model is a very good fit.c.The R2 value needs to be reported in presenting regression results as it shows the relative precision of the model for the users to consider.d.R2 reflects the model’s improvement of the predicted value over the estimator of the sample mean (Y-bar).

The regression R2 is: a. possible to decrease when an additional explanatory variable is added. b. R S S divided by T S S. c. a measure of the goodness of fit of your regression line. d. a measure of the causal effect of X on Y.

Which of the following is the correct interpretation for 0.60 coefficient of determination? a. 60% of the variation in the X values is explained by the variation in the Y values. b. 40% of the variation in the Y values is explained by the variation in the X values. c. The relationship between Y and X is very weak d. 60% of the variation in the Y values is explained by the variation in the X values.