Dependency Graph

I want to create a dependency graph of some sensors in the network ( based on their reported value). Please note that a change in the values of sensors is related to each other. For example, if the measured value by a sensor increases, it is possible to recognize the sensors which their measured values will be affected by this increase. This is because of the mathematical logic behind the reported values and sensor placement.

I also need to have some weights representing the weights of the dependency. In other words, this number shows how much two sensors in the created graph are dependent on each other (dependency rate).

Now, I am wondering how can I do that and with what tools and algorithms?

Thank you very much in advance for your help.