There is no single accepted definition of knowledge economy jobs. The Office for National Statistics (ONS) publishes workforce jobs by region and industry in its JOBS05 dataset, and more detail is available through Nomis official labour market statistics at :https://www.nomisweb.co.uk/.
Separately the ONS publishes a country and region breakdown of business R&D employment in table 18 of the annual release on research and development performed in UK businesses (BERD). The rounded aggregate figures for 2019 were:
Full time equivalent
Yorkshire and the Humber