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

## Explanation The statement in Option A is actually **false** and represents the correct answer to this "EXCEPT" question. ### Understanding Adjusted R² Adjusted R² is a modified version of R² that accounts for the number of predictors in the model. The correct formula for adjusted R² is: \[ \text{Adjusted } R^2 = 1 - (1 - R^2) \times \frac{n-1}{n-k-1} \] Where: - \( R^2 \) is the coefficient of determination - \( n \) is the sample size - \( k \) is the number of independent variables ### Why Option A is Incorrect The formula given in Option A: \[ \text{Adjusted } R^2 = 1 - \frac{SSR}{TSS} \times \frac{n-1}{n-k-1} \] Is incorrect because: 1. \( \frac{SSR}{TSS} \) represents \( 1 - R^2 \) (not R² itself) 2. The correct adjustment should be applied to \( 1 - R^2 \), not to \( \frac{SSR}{TSS} \) directly ### Key Properties of Adjusted R² - Penalizes for adding irrelevant variables - Can be negative when the model performs worse than the mean - Always less than or equal to R² - Increases only if the new variable improves the model more than expected by chance Since this is an "EXCEPT" question, we're looking for the false statement, which is Option A.

Author: LeetQuiz .