If the coefficient of determination is 0.233, what percentage of the variation in the data about the regression line is explained?5.43%76.7%23.3%46.6%

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03-11-2022
Mathematics

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If the coefficient of determination is 0.233, what percentage of the variation in the data about the regression line is explained?5.43%76.7%23.3%46.6%

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AdeleighT131316 AdeleighT131316 · Answer 1 · 2022-11-03T18:34:44+01:00

We need the coefficient of determination definition

The coefficient of determination (R²) is a number between 0 and 1 that measures how well a statistical model predicts an outcome. You can interpret the R² as the proportion of variation in the dependent variable that is predicted by the statistical model

So if we have a coefficient of determination of 0.233 we multiply by 100 to get the percentage

Answer: 23.3%