Hello, Try the following.
a <- 1:10 b <- c(1, 2, 2.5, 3, 3.5, 4, 6, 7, 7.5, 8) dat <- data.frame(a = a, b = b) # for lm(), it's better to use a df po.lm <- lm(a~b+I(b^2)+I(b^3)+I(b^4), data = dat); summary(po.lm) realroots <- function(model, b){ is.zero <- function(x, tol = .Machine$double.eps^0.5) abs(x) < tol if(names(model)[1] = "(Intercept)") r <- polyroot(c(coef(model)[1] - b, coef(model)[-1])) else r <- polyroot(c(-b, coef(model))) Re(r[is.zero(Im(r))]) } r <- realroots(po.lm, 5.5) predict(po.lm, newdata = data.frame(b = r)) # confirm Hope this helps, Rui Barradas Em 01-03-2013 18:47, Mike Rennie escreveu:
Hi there, Does anyone know how I solve for x from a given y in a polynomial function? Here's some example code: ##example file a<-1:10 b<-c(1,2,2.5,3,3.5,4,6,7,7.5,8) po.lm<-lm(a~b+I(b^2)+I(b^3)+I(b^4)); summary(po.lm) (please ignore that the model is severely overfit- that's not the point). Let's say I want to solve for the value b where a = 5.5. Any thoughts? I did come across the polynom package, but I don't think that does it- I suspect the answer is simpler than I am making it out to be. Any help would be welcome.
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