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

Answer:

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

Step-by-step 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.

$\text{Coefficient of Determination} = R^2 = 0.9 = 0.9\times 100\% = 90\%$

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