Why Is R² a Commonly Used and Perhaps Better Measure

question 5

Multiple Choice

Why is R² a commonly used and perhaps better measure of how well a regression model fit the data than the residual sum of squares (RSS) ?

• A) The RSS is often too large
• B) The RSS does not depend on the scale of the dependent variable whereas the R² does
• C) The RSS depends on the scale of the dependent variable whereas the R² does not
• D) The RSS depends on the scale of the independent variable whereas the R² does not

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Definitions:

Least Likely

Refers to the outcome or event with the lowest probability of occurrence among all considered alternatives.

Resamples

The process of taking repeated samples from observed data, often used in bootstrapping and other non-parametric statistics methods to estimate a sampling distribution.

Measurements

The act or process of quantifying physical quantities, units, or dimensions.

Bootstrap Confidence Interval

A statistical technique that uses resampling with replacement to estimate the confidence intervals of a parameter.