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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

Question

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

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Solution

The coefficient of determination (R-squared) in a regression analysis represents D. The proportion of variance in the dependent variable explained by the independent variable. This means that it shows how much of the variability in the outcome data can be explained by the model.

Similar Questions

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.

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 of the following is used to calculate the R-squared for a regression model?

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

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