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Homework answers / question archive / A regression analysis on a set of data (with two variables, x and y) outcomes a value of r-square = 78

A regression analysis on a set of data (with two variables, x and y) outcomes a value of r-square = 78

Statistics

A regression analysis on a set of data (with two variables, x and y) outcomes a value of r-square = 78.5. What would be the interpretation of this value?

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An r-squared value of 78.5 for a regression analysis of two variables (x being the independent variable and y being the dependent variable) indicates that the 78.5% of variation in the dependent variable y is being explained by the variation in the independent variable x.