Question

Provide an expression for P(y | x₁, x₂) in the linear regression model y = w₀ + w₁x₁ + w₂x₂ + ϵ, where ϵ follows a normal distribution with mean 0 and variance σ².

Answer 1

The expression for P(y | x₁, x₂) in the linear regression model y = w₀ + w₁x₁ + w₂x₂ + ϵ is given by the normal distribution formula.

Step-by-step explanation:

The expression for P(y | x₁, x₂) in the linear regression model y = w₀ + w₁x₁ + w₂x₂ + ϵ is given by the normal distribution formula. Since ϵ follows a normal distribution with mean 0 and variance σ², we can write the expression as:

P(y | x₁, x₂) = Normal Distribution(mean = w₀ + w₁x₁ + w₂x₂, variance = σ²)