'model with data' is a correct and usable phrase in written English.
You can use it when you want to explain an abstract concept in terms of a relationship with available data. For example, "The statistical model created with data from the company's sales records showed that budgeting for increased resources was necessary to ensure future growth."
A lot of networks are built on a transportation model, with data traveling from address to address.
We validated the model with data from a mobile phone development project.
Using the new computer model with data from subjects' brain scans, they were able to reconstruct the moving images people viewed.
We test this model with data from a survey of 217 Australian organisations, using structural equation modelling (SEM).
Combining the CASA (Carnegie-Ames-Stanford Approach) model with data on harvest indices and yields, we calculated net primary production, woody production in orchard and vineyard crops, and soil carbon.
We test this model with data from two large, nationally-representative datasets and find that, for religious adolescents, having a co-religious tie who also drinks is much more strongly predictive of drinking behavior than exposure alone.
We then test this model with data from matched samples of 144 project leaders and 144 cost analysts who participated in the same NPD projects.
There is no need to test this model with data — in fact, there is no way to test it — and yet the result offers policy makers a powerful lesson: there are unavoidable trade-offs in the design of voting systems.
An independent dataset was used to test the performance of the model with data not used in the fitting process, and to demonstrate the advantages of calibrating the mixed-effects model.
We calibrate the model with data from the US economy.
It also evaluates the model with data from the Panel Study of Income Dynamics.
