Use the value of the linear correlation coefficient r to find the coefficient of

Question

Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. r = 0.309 What is the value of the coefficient of determination? = L (Round to four decimal places as needed.) What is the percentage of the total variation that can be explained by the linear relationship between the two variables? Explained variation= % (Round to two decimal places as needed.)

Explanation / Answer

a) The coefficient of determination here is computed as:

R2 = r2 = 0.3092 = 0.0955

Therefore the value of coefficient of determination here is 0.0955

b) The percentage of the total variation that can be explained by the linear relationship between the two variables is equal to the R2 that is 9.55%

Therefore 9.55% is the required answer here.

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