Use jQuery to change a second select list based on the first select list option

$("#select1").change(function() {
  if ($(this).data('options') === undefined) {
    /*Taking an array of all options-2 and kind of embedding it on the select1*/
    $(this).data('options', $('#select2 option').clone());
  }
  var id = $(this).val();
  var options = $(this).data('options').filter('[value=" + id + "]');
  $('#select2').html(options);
});

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.0.0/jquery.min.js"></script>
<select name="select1" id="select1">
  <option value="1">Fruit</option>
  <option value="2">Animal</option>
  <option value="3">Bird</option>
  <option value="4">Car</option>
</select>


<select name="select2" id="select2">
  <option value="1">Banana</option>
  <option value="1">Apple</option>
  <option value="1">Orange</option>
  <option value="2">Wolf</option>
  <option value="2">Fox</option>
  <option value="2">Bear</option>
  <option value="3">Eagle</option>
  <option value="3">Hawk</option>
  <option value="4">BWM<option>
</select>