Settings: ISO 100
Shutter Speed: 1/30-1/50
Mode: S (Nikon)
TV (Canon)
Aperture: f/3.5
Body: Nikon D5200
Lens: 18-55mm
To achieve the blurred movement look you must have a lens which is capable of zooming in and out, such as the standard 18-55mm kit lens.
Once you have the recommended settings above you then then begin with your lens zoomed as far as it can go, and once you have your subject in frame you take the picture, and at the same time zoom your lens in towards your subject.
Some results should look like the examples taken below.