FA-6252 / Statistics / Member archive
Regression intercept given slope · case 02
The sample mean is returned without removing the slope contribution.
Case contract
Integer finite observations and equal lengths for paired samples. Counts and weights are nonnegative. Rational results use reduced Fraction strings. Empty or undefined statistics return None where shown. Nonempty paired samples and an integer slope are provided; return the intercept making the mean residual zero. Exact operational definition: str(Fraction(sum(y),len(y))-slope*Fraction(sum(x),len(x)))
Why this case matters
Small exact fixtures expose this error without platform timing, external services, or probabilistic observations. Statistical estimators results depend on the stated convention.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| fixture 1: ([1, 2, 3], [3, 5, 7], 2) | "5" | "1" | Failed |
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