PHP-Script to analyse website response time / loading time

Hi, i need a small script written in php which should analyse some vital data of a webserver. A user inserts the url of his website. The script answers the following questions: How long does it take for the first server answer? How long does it take for the server to generate the page? How long it takes to load the page? What is the transfer speed? What is the size of the page in kbyte? Is the page compressed? (gzip) Is the page cached? What kind of site is it wordpress blog / forum / static site / ... ? Not all of the results are present at the same time. The output of the data should use ajax to update the results.