# Revealing correlation between one parameter and set of parameters.

Probably it is duplicate (but I could not fine it) or it is a question for MathOverflow. Still I would like to use Mathematica to analyze my data.
In experiment I measure the parameter "P" of the set of objects. This is extremely difficult and pricy. From the other hand I can easily measure the set of parameters "p1,p2,...,p10" of all objects. I know that they somehow correlates with parameter "P", but I do not know how. Is it possible reveal this hidden correlation? Should I use some modification of PrincipalComponents or cluster analysis?

• This may be a question for Cross Validated, the companion site for probability and statistics. Once you have a method in mind, then we can see how to implement that in MMA. – MarcoB Jun 9 '16 at 21:17

$$F : \{p^k_1,p^k_2,...,p^k_{10}\} \longrightarrow P_i ,$$