Questions
BIOT6214.35294.202530 Quiz #3 - Requires Respondus LockDown Browser
Multiple choice
In the context of polynomial regression models, which of the following statements are true about the coefficient of determination (R²)? Select all that apply.
Options
A.R² always increases or stays the same when additional polynomial terms are added to the model
B.A high R² guarantees that the model will generalize well to new data
C.R² values closer to 1 indicate that the model explains more of the variance in the training data
D.Adding too many polynomial terms can lead to overfitting, despite increasing R²
E.R² is the only criterion needed to determine the optimal polynomial degree
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Step-by-Step Analysis
Question: In the context of polynomial regression models, which of the following statements are true about the coefficient of determination (R²)? Select all that apply.
Option 1: R² always increases or stays the same when additional polynomial terms are added to the model
- This statement leverages a known property of ordinary least squares: adding more predictors (including polynomial terms) cannot reduce the R² value; it either stays the same or goes up. The intuition is that the mod......Login to view full explanationLog in for full answers
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