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
<jdnew...@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.lu...@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@r-project.org mailing list -- To UNSUBSCRIBE and more, see
> >https://stat.ethz.ch/mailman/listinfo/r-help
> >PLEASE do read the posting guide
> >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

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