The Romans tried to encourage the native Britons to adopt the Roman way of life as their own. This was their way of ensuring that the population paid its taxes and that they were able to govern the province effectively.
This strategy was very effective over much of the empire, the idea was to allow those outside the empire to experience the benefits of Roman Civilization. This happened either informally, or through the establishment of "Client Kingdoms". Once the inhabitants of such a kingdom were governable in the Roman sense, then it was a simple matter for the army to move in and establish formal control.

 

This worked very well in the south of Britain, where the climate and longstanding relationship with the continental empire meant that it required only a small change in lifestyle to establish villas and an extensive network of towns based on the Roman model.

 

It is clear that the Romans knew exactly what they were doing, as Tacitus tells us in chapter 21 of his book, Agricola:

"The following winter was spent on schemes of social betterment. Agricola had to deal with people living in isolation and ignorance, and therefore prone to fight; and his object was to accustom them to a life of peace and quiet by the provision of amenities.
He therefore gave private encouragement and official assistance to the building of temples, public squares, and good houses. He praised the energetic and scolded the slack; and competition for honour proved as effective as compulsion. Furthermore, he educated the sons of the chiefs in the liberal arts, and expressed a preference for British ability as compared with the trained skills of the Gauls.
The result was that instead of loathing the Latin language they became eager to speak it effectively. In the same way, our national dress came into favour and the toga was everywhere to be seen.
And so the population was gradually led into the demoralizing temptations of arcades, baths, and sumptuous banquets. The unsuspecting Britons spoke of such novelties as 'civilization', when in fact they were only a feature of their enslavement."

The plan never seemed to work properly in the north, where the native population lived in more traditional communities. These peoples were by no means primitive, in fact they had a very rich culture, and had largely abandoned their hill forts prior to the Roman invasion as their society entered a more peaceful and prosperous phase.
Unlike those living further south, they did not mint their own coinage, which suggests that they were less inclined towards the continental luxuries which were paid for with money.