Practice R-squared (r²) (3.3.4) - Supervised Learning - Regression & Regularization (Weeks 3)
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R-squared (R²)

Practice - R-squared (R²)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does an R² value of 0.5 mean?

💡 Hint: Think in terms of prediction effectiveness.

Question 2 Easy

Is an R² value of 1 always the goal in modeling?

💡 Hint: Consider the implications of overfitting.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does an R² of 0 indicate?

The model explains all variance.
The model explains no variance.
The model has poor predictive power.

💡 Hint: Think about what happens when predictions are random.

Question 2

True or False: High R² guarantees a good predictive model?

True
False

💡 Hint: Consider the quality of predictive power.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a dataset where the SS_tot = 200 and SS_res = 40, calculate the R² and interpret its significance.

💡 Hint: Utilize the R² formula carefully.

Challenge 2 Hard

Discuss how adding more predictors influences R-squared. Provide an example.

💡 Hint: Reflect on the nature of predictability and variance.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.