Unverified50% confidenceFactExact time
S_n can be transformed by adding and subtracting the mean μ inside the brackets to yield (1/n)∑(X_i−μ)² − (X̄−μ)²
1
Sources
50%
Confidence
Long-term
Relevance
9/23/2026
First Seen
Sources
Related Entities
Related Claims
UnverifiedLet Y_i = (X_i−μ)²; then E[Y_i] = Var(X_i) = σ²77% similarUnverifiedThe closed-form solution for linear regression coefficients is β1 = Σ(xi-x̄)(yi-ȳ)/Σ(xi-x̄)², β0 = ȳ - β1·x̄74% similarUnverifiedThe typical form of Zeller's formula is h = (q + ⌊13(m+1)/5⌋ + K + ⌊K/4⌋ + ⌊J/4⌋ - 2J) mod 7.72% similarUnverifiedFermat's Last Theorem states that for integers n > 2, the equation x^n + y^n = z^n has no positive integer solutions.69% similarUnverifiedBy the central limit theorem, √n(Ȳ_n − σ²) converges in distribution to N(0, τ)67% similar
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