Find the percent of the data that can be explained by the regression line and regression equation given that the correlation coefficient = -.72 (Give your answer as a percent rounded to the hundredth decimal place. Include the % sign)

Question

Rory Tucker

Mathematics

21 November, 04:46

Find the percent of the data that can be explained by the regression line and regression equation given that the correlation coefficient = -.72 (Give your answer as a percent rounded to the hundredth decimal place. Include the % sign)

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Roderick · Answer 1

51.84%

Step-by-step explanation:

The percentage of data explained by regression line is assessed using R-square. Here, in the given scenario correlation coefficient r is given. We simply take square of correlation coefficient to get r-square. r-square = (-0.72) ^2=0.5184=51.84%