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That's actually a great quaestion. Very common mistake is when the company creates perceived value without actually studying the customers. This case the relation is stochastic because they don't link up. However if you conduct a study and see what the customer is looking for, what are the expectations from your product and what are existing troubles you customers is facing, then the relation will be stright proportion. The higher customer values your product the higher satisfaction he expresses.
If you care about the customer value and makeing your customer loves your product or service then the customer satisfaction it will come so easy
It is about something more than customer satisfaction. It is about customer delight.It is only when the customer is delighted aboutmy product would the customer value my product and advertise my product to others. If a customer is just satisfied he would not complain about my product in the social media but would switch to another product that gives better service.
There is a positive relation between these two, as much as you meet your consumer's needs and add more value for them, you will increase their satisfaction.