OP, to get any kind of "blurred background" with your kit lens, you'll need to shoot at the longest focal length ("zoomed in"), up as close as you can get and with the largest aperture, which would be f/5.6 It doesn't matter what mode you use - aperture is aperture. Your photo is cropped much too "loose" to get the background out of focus, especially with that lens. Fill the frame with the car and park further from the trees - you should be able to get a little of the effect with your lens if you do that.
I don't see any noise in your "large" flickr photo - make sure you're exposing nice and bright and not pushing the exposure later in editing software.
Try doing a shot like this:
Untitled by
Erik Lauritsen, on Flickr
This is with an even "longer" focal length lens, at an even larger aperture, on a larger format camera. You won't get background blur like that with what you've got, but you'll see SOMETHING
As a rule, to get "blur", you want to
A: Fill the frame with the subject (get close)
B: Use a longer focal length lens
C: Use a larger aperture (lower f/stop number)
Peek through my, or any other user's, Flickr and look at the EXIF data. You'll eventually figure out that you need better/more expensive lenses to get "that look"
Also, a bit more of a "technique" matter - all but ONE of your photos have your car in the dead-fucking center. This can get old
Try using your center AF point, getting focus, and then re-composing (without moving closer/further from the subject, as this will throw off your focus...) to put things towards the edges of the frame.
Finally, another "trick" you could try doing - if your camera has live view, enable it. Manually focus the lens back and forth, after composing using the above tips, and set it so that the care is JUST on the edge of being in focus, closer to the minimum distance and further from infinity. Your kit lens likely doesn't have markings on the lens to indicate which is which, but you'll see as you move the focus ring around - watch the background go in/out of focus and adjust it carefully until the care is JUST beginning to be in focus. This is a pretty lousy way to do shit, and I don't think anyone would go through the trouble... and it's probably not even that effective... but it's another thing to try.