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Question 1: In a regression analysis, what information gives R²?a) The unexplained variance by the predictorsb) The share of the dependent variable variance explained by the predictorsc) The badness of the fitd) The quality of the data selection

Question

Question 1: In a regression analysis, what information gives R²?a) The unexplained variance by the predictorsb) The share of the dependent variable variance explained by the predictorsc) The badness of the fitd) The quality of the data selection

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Solution

R² in regression analysis provides information about the share of the dependent variable variance explained by the predictors. This means that it gives an understanding of the extent to which changes in the dependent variable can be predicted from the independent variable(s). So, the correct answer is b) The share of the dependent variable variance explained by the predictors.

Similar Questions

When conducting a regression analysis, what does the coefficient of determination (R-squared) represent?  A. The strength of the relationship between variables  B. The predicted values of the dependent variable  C. The slope of the regression line  D. The proportion of variance in the dependent variable explained by the independent variable

The square of the correlation coefficient, r2, provides a measure of the _____________.Multiple Choicedifference between positive and negative correlation between two variablesslope of the line for a simple linear regression equationerror in predicting values of y based on a regression equationproportion of variability in the values of y "explained" by an independent variable

Which statement about the coefficient of determination (R^2) is true?It represents the slope of the regression line.It indicates the percentage of the variance in the dependent variable that is predictable from the independent variable.It can take on any value between -1 and 1.It is the square root of the correlation coefficient.

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).

In regression analysis, r2 is the ___.Group of answer choicescoefficient of determinationsum of the squaredestimated regression analysiscoefficient of correlation

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