alleryStart learning →The closed-form 'normal equations' solution for least-squares linear regression is
Aθ = (X y)⁻¹
Bθ = (XᵀX)⁻¹ Xᵀ y
Cθ = X⁻¹ y
Dθ = Xᵀ y
Answer & Solution
Correct answer: B. θ = (XᵀX)⁻¹ Xᵀ y
Setting ∇_θ J(θ) = 0 yields XᵀX θ = Xᵀy, hence θ = (XᵀX)⁻¹ Xᵀy provided XᵀX is invertible (full column rank).
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