Consider the three models
a. \(y=\beta_{0}+\beta_{1}(1 / x)+\varepsilon\)
b. \(1 / y=\beta_{0}+\beta_{1} x+\varepsilon\)
c. \(y=x /\left(\beta_{0}-\beta_{1} x\right)+\varepsilon\)

All of these models can be linearized by reciprocal transformations. Sketch the behavior of \(y\) as a function of \(x\). What observed characteristics in the scatter diagram would lead you to choose one of these models?