I was recently visiting with someone who had a website which included some YouTube videos on their home page. I had been to the site and when I clicked on those videos I was taken away from their website to the YouTube website to view the video. Now, if you are linking directly to a YouTube video from your website you may be interested to know that there is a way to embed YouTube videos into you page in such a way that the visitor NEVER leaves your site to view the YouTube video.
If you are new at embedding videos on your site you may want to watch both of the videos on this page. If you are more experienced you may want to watch only the second video, further down the page.