node-yelp-api | A promise-based JavaScript client for dealing with Yelp | REST library

Mocking external modules is explained here.

If the module you are mocking is a Node module (e.g.: lodash), the mock should be placed in the __mocks__ directory adjacent to node_modules (unless you configured roots to point to a folder other than the project root) and will be automatically mocked. There's no need to explicitly call jest.mock('module_name').

For your exact case this would mean you need to create a folder __mocks__ with a file node-yelp-api-v3.js in it. In that file you create a mock object from the original module using genMockFromModule and override the method you want to mock.