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
Question
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
Solution
The square of the correlation coefficient, r2, provides a measure of the proportion of variability in the values of y "explained" by an independent variable.
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.
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
In regression analysis, r2 is the ___.Group of answer choicescoefficient of determinationsum of the squaredestimated regression analysiscoefficient of correlation
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
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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