I have a problem I am trying to solve using the R programming language and software environment. This isn't a programming question but more how I can use the results however I might describe the problem is more programming speak rather than mathematical.
I have a set of observed data where I have variables V1..V11. V11 is an individuals weight and V1..V10 are all factors which impact the weight. I have performed regression on this data like so.
lm(formula = V11 ~ V1 + V2 + V3 + V4 + V5 + V6 + V7 + V8 + V9 + V10, data = fDF)
This gives me the results
Coefficients: (Intercept) V1 V2 V3 V4 V5 58.8082 2.4857 0.5811 0.8833 2.8648 7.7457 V6 V7 V8 V9 V10 -7.3599 3.2055 -6.6382 1.4559 0.8486
Is it possible using these coefficients solve the inverse of this problem. So given the weight V11 can you predict the values of v1..v10?
Thanks in advance.