Question

If the coefficient of determination is 0.9, the percentage of variation in the dependent variable explained by the variation in the independent variable is?

Answer 1

90% of the variation in the dependent variable is explained by the independent variable.

Explanation:

We are given the following in the question:

coefficient of determination = 0.9

We have to find the percentage of variation in the dependent variable explained by the variation in the independent variable.

Coefficient of Determination:

• The coefficient of determination is a measure that explains and predicts the dependent variable.
• It explains the variation in the dependent variable caused by the independent variable.
• The coefficient of determination, also known as the R squared value and is obtained by squaring the coefficient of correlation.

`\text{Coefficient of Determination} = R^2 = 0.9 = 0.9* 100\% = 90\%`

Thus, 90% of the variation in the dependent variable is explained by the independent variable.