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 = sb0 + 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 ß0, ß1 and ß2 and assume that the variances of bo, b1 and b2 are known and are s20, s23 and s22.