Check box is not get selected using laravel

<div class="form-group">
    <label for="designation">Reporting Heads</label> <br>

    <?php
    $heads = TCG\Voyager\Models\Head::all();
    ?>
    <?php $i=0; ?>
    @foreach($heads as $heads)
     <?php
     $headvalues=explode(',',$test->reporting_head);

     ?>
        <input type="checkbox"  name="check_list[]" value="_"<?php echo($headvalues[$i]==$heads->id?'select':'') ?>><label></label>
    <?php $i++; ?>
    @endforeach
</div>
<input type="hidden" name="id" value="" />

$headvalues array would like.

Array
(
    [0] => 1
    [1] =>  3

)

Here 1 and 3 are head ids .i want to select check box for 1 and 3.How can i do this?please help m