Jquery check the checkbox in td before

I have a table in html with td contains a checkbox input like this

<table id="my_table">
  <tr>
   <td><input type="checkbox" name="td1"></td>
   <td><input type="checkbox" name="td2"></td>
  </tr>
<tr>
   <td><input type="checkbox" name="td3"></td>
   <td><input type="checkbox" name="td4"></td>
  </tr>
 </table>
<script>
$('[type=checkbox]').change(function () {
    if($(this).is(":checked")) {
       $(this).closest('td').prev().find('input[type=checkbox]').prop('checked', true);
    }
});
</script>

I wanna create a function in jquery that when I check a checkbox the one above it is checked (example if td3 is checked then td1 is checked also) but the one i used check the input next to this and not above it.

Thanks for your help