If the correlation coefficient is .4, the percentage of variation in the dependent variable explained by the estimated regression equation is Group of answer choices.40%4%16%.16%
Question
If the correlation coefficient is .4, the percentage of variation in the dependent variable explained by the estimated regression equation is Group of answer choices.40%4%16%.16%
Solution
The percentage of variation in the dependent variable explained by the estimated regression equation is found by squaring the correlation coefficient. This is known as the coefficient of determination (R-squared).
Step 1: Identify the correlation coefficient. In this case, it is 0.4.
Step 2: Square the correlation coefficient. So, 0.4 * 0.4 = 0.16.
Step 3: Convert the result into a percentage. So, 0.16 * 100 = 16%.
Therefore, the percentage of variation in the dependent variable explained by the estimated regression equation is 16%.
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