Answer: Adjusted R² = 1 - (SSR/TSS) * [(n-1)/(n-k-1)].

## Explanation The given formula for adjusted R² is **incorrect**. **Correct formula for adjusted R²:** \[ \text{Adjusted } R^2 = 1 - \frac{SSR/(n-k-1)}{TSS/(n-1)} \] Where: - SSR = Sum of Squared Residuals - TSS = Total Sum of Squares - n = number of observations - k = number of independent variables **Alternative correct forms:** \[ \text{Adjusted } R^2 = 1 - (1 - R^2) \times \frac{n-1}{n-k-1} \] \[ \text{Adjusted } R^2 = 1 - \frac{SSR}{TSS} \times \frac{n-1}{n-k-1} \] **Why option A is false:** - The formula shows (SSR/TSS) multiplied by [(n-1)/(n-k-1)] - But it should be 1 minus this product, not the product itself - The correct form is: Adjusted R² = 1 - [(SSR/TSS) × (n-1)/(n-k-1)] **Key properties of adjusted R²:** - Penalizes for adding irrelevant variables - Can be negative when model performs worse than the mean - Always ≤ R² - Increases only if new variable improves model more than expected by chance **Correct answer:** A - This statement is false because the formula is incorrect.

Author: LeetQuiz Editorial Team