Use the value of the linear correlation coefficient to calculate the coefficient

Question

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? Albout the r0.874 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 [1%ofthe variation can be explained by the regression line. the regression line? (Round to one decimal place as needed.) About the unexplained variation? % of the variation is unexplained and is due to other factors or to sampling erro (Round to one decimal place as needed.) Enter your answer in each of the answer boxes. SUBLEASE MultiGen....df 6 3 4 2

Explanation / Answer

(a)

Coefficient of dertermination is given by:

R2 = 0.8742 = 0.764

(b)

R2 = 0.764 means that 76.4 % of the dependent variablr is predicted by the independent variable.

So,

Answer is:

76.3 % of the variation can be explained by the regression line.

(b)

100 % - 76.4 % = 23.6 %

So, Answer is:

23.6 % of the variation is unexplained and is due to other factors or to sampling error.

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