# [R] How to predict/interpolate new Y given knwon Xs and Ys?

Luigi Marongiu m@rong|u@|u|g| @end|ng |rom gm@||@com
Wed Jan 27 10:30:00 CET 2021

```Dear Jeff,
I am not sure if I understood the procedure properly but it looks like it works:
```
Y <-c(1.301030,  1.602060,  1.903090,  2.204120,  2.505150,  2.806180,
3.107210,  3.408240,  3.709270,
4.010300,  4.311330,  4.612360,  4.913390,  5.214420,  5.515450,
5.816480,  6.117510,  6.418540,
6.719570,  7.020599,  7.321629,  7.622658,  7.923686,  8.224713,
8.525735,  8.826751,  9.127752,
9.428723,  9.729637, 10.030434, 10.330998, 10.631096, 10.930265,
11.227580, 11.521213, 11.807577,
12.079787, 12.325217, 12.523074, 12.647915, 12.693594, 12.698904,
12.698970, 12.698970, 12.698970)
X <- 1:45
plot(Y~X)
raw_value <- predict(lm(X[1:39]~Y[1:39]), newdata = data.frame(Y=6))
x <- unname(raw_value[!is.na(raw_value)]) # x= 16.62995
points(x, 6, pch = 16)
```
Here I used the points 1:39 because afterward there is a bend. But I
am not clear why I need to use `lm(X~Y),` instead of `lm(Y~X)`.
Thank you

On Tue, Jan 26, 2021 at 10:20 AM Jeff Newmiller
<jdnewmil using dcn.davis.ca.us> wrote:
>
> model2 <- lm( x~y )
> predict(model2, data.frame(y=26))
>
> model2 is however not the inverse of model... if you need that then you need to handle that some other way than using predict, such as an invertible monotonic spline (or in this case a little algebra).
>
> On January 26, 2021 1:11:39 AM PST, Luigi Marongiu <marongiu.luigi using gmail.com> wrote:
> >Hello,
> >I have a series of x/y and a model. I can interpolate a new value of x
> >using this model, but I get funny results if I give the y and look for
> >the correspondent x:
> >```
> >> x = 1:10
> >> y = 2*x+15
> >> model <- lm(y~x)
> >> predict(model, data.frame(x=7.5))
> > 1
> >30
> >> predict(model, data.frame(y=26))
> > 1  2  3  4  5  6  7  8  9 10
> >17 19 21 23 25 27 29 31 33 35
> >Warning message:
> >'newdata' had 1 row but variables found have 10 rows
> >> data.frame(x=7.5)
> >    x
> >1 7.5
> >> data.frame(y=26)
> >   y
> >1 26
> >```
> >what is the correct syntax?
> >Thank you
> >Luigi
> >
> >______________________________________________
> >R-help using r-project.org mailing list -- To UNSUBSCRIBE and more, see
> >https://stat.ethz.ch/mailman/listinfo/r-help
> >http://www.R-project.org/posting-guide.html
> >and provide commented, minimal, self-contained, reproducible code.
>
> --
> Sent from my phone. Please excuse my brevity.

--
Best regards,
Luigi

```