(b) Assume that Y₁, Y₂, ..., Yn are independent normal random variables with mean μ = B₁ + B₁x₂ and variance o². The probability density function of Y; is given by 1 {vi-(BO+B₁²₁)}² 9(Yi; Bo, B₁, 0²) = 20² V2πσ2 Prove that the values of the maximum likelihood estimates are Bo=y-B₁, Sty B₁ Σ₁₁ (xi — T) (Yi — Y) Σ=1(vi - π)2 STT and ¹ Σ(Yi - (Bo + B₁x₂)². n i=1 = =

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