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If the correlation coefficient is 0.3, find the percentage of variation in the dependent variable explained by the variation in the independent variable. - 0.09% 3% 9% 30%

User Zloctb
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Answer:

The correct answer is 9%.

The correlation coefficient r is a measure of the linear relationship between two variables. It can range from -1 to 1. A value of 0 means that there is no linear relationship between the variables. A positive value of r means that the variables are positively correlated, i.e., as one variable increases, the other variable also increases. A negative value of r means that the variables are negatively correlated, i.e., as one variable increases, the other variable decreases.

The square of the correlation coefficient, r^2, is called the coefficient of determination. It is a measure of the percentage of variation in the dependent variable that is explained by the variation in the independent variable. In this case, r = 0.3, so r^2 = 0.09. This means that 9% of the variation in the dependent variable is explained by the variation in the independent variable.

The other answers are incorrect. 0.09% is too small, 3% is too large, and 30% is much too large.

Explanation:

User Rick Bowerman
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