GATE 2025 ST – Question 35

Regression Analysis · Linear Models and Estimation · 1 mark · Numerical answer

A normal linear regression has n=25 observations, an intercept and four predictors, with unknown error variance. If R²=5/6, find adjusted R² to two decimals.

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Correct answer: 0.79 to 0.81

Explanation

Adjusted R²=1−(1−R²)(n−1)/(n−p−1), with p=4 predictors. Thus 1−(1/6)(24/20)=1−1/5=**.80**.

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