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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 = 0.123 What is the value of the coefficient of determination ? r ^ 2 = (Round to four decimal places as needed.)

Sagot :

The coefficient of determination is the square of the correlation coefficient, and the value is 0.0151

How to determine the coefficient of determination?

The given parameter is:

Correlation coefficient, r = 0.123

Rewrite as:

r = 0.123

Take the square of both sides

r² = 0.123²

Evaluate the square

r² = 0.015129

Approximate

r² = 0.0151

The coefficient of determination is represented by r²

Hence, the coefficient of determination is 0.0151

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