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the coefficient of determination r^2 is the ratio of which two types of variatio

ID: 3388735 • Letter: T

Question

the coefficient of determination r^2 is the ratio of which two types of variations? what does r^2 measure? what does 1- r^2 measure?

choose the correct answer below.

a. the value 1-r^2 is a measurement of how two variables vary together.

b. the value 1-r^2 is the percent of the variation that is unexplained.

c. the value 1-r^2 is the percent of the predicted values that equals the actual data values.

d. the value 1-r^2 is the percent of variation of y that is explained by the relationship between x and y.

Explanation / Answer

Since r^2 is percent of variation in y that is explained by the regression model,

b. the value 1-r^2 is the percent of the variation that is unexplained.