Coefficient of Determination (R-squared) and Explained Variation

A coefficient of determination of 0.10 implies that X explains 'some' of the variation in Y.

Explanation:

The coefficient of determination (R-squared) is a statistical measure that represents the proportion of the variance in the dependent variable (Y) that is predictable from the independent variable (X). It ranges from 0 to 1, where:

• 0 indicates that X does not explain any variation in Y.
• 1 indicates that X explains all the variation in Y.

An R-squared of 0.10 means that 10% of the variation in Y can be explained by X. This implies that X has a relatively weak relationship with Y.

Therefore, the correct answer is D: some.