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R-Squared vs Adjusted R-Squared

MediumStatistics & Probability00:00
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Your question is R-Squared vs Adjusted R-Squared. Take a moment with it on the right.

Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).

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Problem

Explain the difference between R-squared and adjusted R-squared and when you would prefer each.

Discuss how each metric is calculated, why R-squared cannot decrease when predictors are added, and how adjusted R-squared accounts for model complexity. Explain which metric is more appropriate for comparing regression models with different numbers of predictors, and why neither metric alone establishes predictive performance or causality.

Use the supplied values for the arithmetic check and state relevant assumptions.