Show contact 7 form in popup

So far I guess, you need the following corrections:

<div class="map">
    <img src="http://www.gate7infotech.com/projects/development/MyLuckyBottle/wp-content/themes/twentythirteen/images/home_background.jpg"/>
    <a href="#pop-up-form" shape="rect" coords="31,572,499,1028" class="a lightbox">Registration Form</a>
    <a href="#" class="b"></a>
    <a href="#" class="c"></a>
</div>

<?php //This should be a hidden DIV; ?>
<div id="pop-up-form" style="display:none"><?php echo do_shortcode("[contact-form-7 id='4' title="Registration Form"]"); ?></div>