Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? requals=negative 0.387
Accepted Solution
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Answer: Coefficient of determination = 0.149769 Step-by-step explanation:We are given the following in the question:Coefficient of correlation, r = -0.387We have to find the coefficient of determination.Coefficient of determination = [tex]r^2 = (-0.387)^2 = 0.149769 = 14.98\%[/tex]Coefficient of determination:It tells us about the variation explained in the model.This correlation of determination tells that 14.98% of the variation is explained in the model that is we can say that the independent variable explains 14.98% changes or prediction in the dependent variable.It ranges from 0 to 1 and a correlation of determination of 1 means that the dependent variable is 100% predicted by the independent variable.Correlation of determination of 0 means that the dependent variable cannot be predicted by the independent variable.