Quiz: Module 5 Practice Quiz Submit Quiz This Question: 1 pt 17 of 30 (6 complet
ID: 3356180 • Letter: Q
Question
Quiz: Module 5 Practice Quiz Submit Quiz This Question: 1 pt 17 of 30 (6 complete) This Quiz: 30 pts possible Question Help * 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? r=0.186 Calculate the coefficient of determination. (Round to three decimal places as needed.) What does this tell you about the explained variation of the data about the regression line? % of the variation can be explained by the regression line Round to one decimal place as needed.) About the unexplained variation? 96 of the variation is unexplained and is due to other factors or to sampling error (Round to one decimal place as needed.)Explanation / Answer
a) The coefficient of determination is the square of the correlation coefficient. Therefore the coefficient of determination here is computed as:
R2 = r2 = 0.1862 = 0.035
b) Now looking at the coefficient of determination here is 0.035 which means that 3.5% of the variation here can be explained by the regression line.
Therefore 3.5% is the answer here.
c) As 3.5% is explained by the regression, therefore 100 - 3.5 = 96.5% of the variation here would be unexplained.
Therefore 96.5% is the answer here.
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