A scientist has measured quantities y, x1 and x2. She

Chapter 8, Problem 10E

(choose chapter or problem)

A scientist has measured quantities \(y, x_{1}\), and \(x_{2}\). She believes that y is related to \(x_{1}\) and \(x_{2}\) through the equation \(y=\alpha e^{\beta_{1} x_{1}+\beta_{2} x_{2}} \delta\), where \(\delta\) is a random error that is always positive. Find a transformation of the data that will enable her to use a linear model to estimate \(\beta_{1}\) and \(\beta_{2}\).

Equation Transcription:

Text Transcription:

y,x_1

x_2

x_1

x_2

y={alpha}e^{beta}_1x_1+beta_2x_2{delta}

delta

beta_1

beta_2

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