GATE 2025 MT – Question 35
A linear regression model was fitted to $(x,y)$ data. The total sum of squares and sum of squares of error are 1200 and 120, respectively. The coefficient of determination $R^2$ is ______ (rounded to one decimal place).
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: 0.9 to 0.9
Explanation
The coefficient is R²=1−SSE/SST, where SST measures total variation and SSE residual variation. Therefore R²=1−120/1200=**0.9**. The fit explains 90% of the total sum of squares.