Question

8. Which of the following is a nonlinear regression model? 0 b. C. 1/(%+Pix) + 11

I need a CLEAR explanation for the answer. I'm confident of the answer I have but I just want to know why.

Answer 1

$y=\alpha_0+\beta_1x^{1/2}+u~is~linear~regression~since~y~is~a~linear~function~of~parameters~\alpha_0~and~\beta_1.\\ \log y=\alpha_0+\beta_1\log x+u~is~linear~regression~since~\log y~is~a~linear~function~of~parameters~\alpha_0~and~\beta_1.\\ y=\frac{1}{(\alpha_0+\beta_1 x)}+u~is~non~linear~regression~since~y~or~nor~its~transform~form~(for~example~\log y)~is~\\ not~linearly~related~with~parameters~\alpha_0,~\beta_1\\ d.~y=\alpha_0+\beta_1x+u~is~linear~regression~since~y~is~linearly~related~with~\alpha_0~and~\beta_1.\\Hence~Option~c.$