jQuery includes a library that makes ajax calls very simple, example below:
$(document).ready(function() {
  $('#example-2').ratings(5).bind('ratingchanged', function(event, data) {
    $('#example-rating').text(data.rating);
    $.ajax({
        url : 'page.php',
        type : 'POST',
        data : { rating : data.rating },
        success : function(response){
            console.log("successfull");
        }
    });
  });
});
On the PHP side, you can pick it up with:
if($_SERVER['REQUEST_METHOD'] == 'POST')
{
    echo $_POST['rating'];
}
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solved How to pass data from javascript to php [closed]