Statistical Problem MV Analysis

[Ender]

Maybe those in the know here can help me out with a statistics problem as follows:

A comparative prices study took price samples in two regions to find out whether there are any price differences in the two areas. The prices of the same items in the two regions were compared and their differences tabulated as a percentage of a benchmark price in one region. The task at hand is to determine whether there is any correlation between the size of the price differential (expressed as %) and: (i) the value of the product (expressed as $); (ii) the product category (C1, C2, C3, …); the product type (consumable or non-consumable); (iii) the location of the distributor of the product (D1, D2, D3, …); and the chain store selling the product (S1, S2, S3, …).

My question is: what is the best approach to solving this and how do I frame this as a problem statement or equation? Any pointers to the right direction is very much appreciated. Thanks and cheers.