Fitting polynomial model to data in R

Question

I am working with this data set: u <- c(31,63,95,117,127,143,151.5,157) v <- c(98.5,103.8,107.5,101,85,63,34.3,14) I want to fit a model to these data so that u = f(v). I want it to be a 3rd order polynomial model. How can I do that in R? Additionally, can R help me to find the best fitting model? Select the correct answer from above options

Answer 1

To get a third order polynomial in x - model<- lm(v~ poly(u,3)) Or model<- lm(v~ u+ I(u^2) + I(u^3)) poly(u,3) is preferable. Hope this answer helps.