The Coefficient of Determination R² Cannot Be Used to Compare

question 85

Multiple Choice

The coefficient of determination R² cannot be used to compare the linear and quadratic models, because

• A) the quadratic model has one parameter more to estimate.
• B) the quadratic model has two parameters more to estimate.
• C) the quadratic model always has a lower R².
• D) R² is not defined for the quadratic model.

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Definitions:

Binomial Random Variable

A type of random variable that represents the number of successes in a fixed number of binary experiments.

Binomial Experiment

A statistical experiment that fits the binomial distribution; characterized by fixed number of trials, two possible outcomes per trial, independent trials, and constant probability of success.

Trials

In statistics and research, trials refer to individual attempts or experiments conducted to test a hypothesis or observe outcomes.

Poisson Distribution

A discrete frequency distribution that expresses the probability of a given number of events happening in a fixed interval of time or space.