As we shall illustrate in Chapter 12, statistical methods associated with linear and nonlinear models are very important. In fact, exponential functions are often used in a wide variety of scientific and engineering problems. Consider a model that is fit to a set of data involving measured values k₁ and k₂ and a certain response Y to the measurements. The model postulated is Y = σb₀ + b₁k₁ + b₂k₂, where Y denotes estimated value of Y k₁ and k₂ are fixed values and b₀, b₁, and b₂ are estimates of constants and hence are random variables. Assume that these random variables are independent and use the approximate formula. For the variance of a non-linear function of more than one variable give an expression for Var(Y). Assume that the means of bo, b₁, and b₂ are known and are β₀, β₁ and β₂ and assume that the variances of bo, b₁ and b₂ are known and are σ²₀, σ²₃ and σ²₂.