GATE 2022 MT – Question 64
A set of 11 (x, y) data points is least-squares fitted to a quadratic polynomial. If the sum of squares of error is 2.4, the variance of error is ________ (round off to 1 decimal place).
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Show answer and explanation
Correct answer: 0.3 to 0.3
Explanation
A quadratic fit estimates three parameters, leaving $11-3=8$ residual degrees of freedom. The error variance estimate is $SSE/8=2.4/8=\boxed{0.3}$.