How do I remove these settings from the signup module code or hide them so that users do not have access to them?

Sorry, not critical

Sorry, if I had the answer I would have given it to you. I help people all the time. Just happened to see the priority that's all.

I would say this is a bug when an event is set to be a group content (organic groups), this completely brokes the user creation form retreiving an error 500 with no information about, also there's an option on the signup module administration with a checkbox:

Allow registering users to sign up for nodes from the user registration form

But it won't remove the "Users can sign up for this event from the user registration form" option from node creation page.

This let my site's registration down for a while !!

This is a serious bug as that option to allow signup on registration breaks node signup functionality. I just created a separate issue, but it wouldn't be as big of a deal if I could just turn off the option to allow setting signups on registration. I can't really see how this wasn't added to the admin form for Signups.

Here's my issue describing things in more detail:
https://drupal.org/node/2261727

And since this issue is over 2 years old and the issue queue is filling up fast, I imagine this won't get the attention it deserves. If anyone can take a look at this and provide a patch I would appreciate it, otherwise I'll have to simply disable Signup and go with another module called Registration: https://drupal.org/project/registration

If you don't mind editing the signup module code then open the node_form.inc found in signup > includes and comment out the following lines towards the bottom:

    //$form['signup']['signup_user_reg'] = array(
    //  '#type' => 'checkbox',
    //  '#title' => t('Users can sign up for this event from the user registration form.'),
    //  '#description' => t('If selected, new users will be able to sign up for this event when they register.'),
    //  '#default_value' => $node->signup_user_reg_form,
    //);

Couldn't get #6 to work. I did as described and signups still appear on the registration form. This is really bad for me, only members should see Activities and now Anonymous users can view them. Completely breaks my sites' functionality

I hacked together a fix, if you comment out the following code in signup.module (sites/all/modules/signup. line 707-737) the signups don't appear on the user registration page:

// Get a list of nodes that should appear on the user registration form.
$query = db_select('node', 'n');
$alias = $query->join('signup', 's', 'n.nid = s.nid');
$query->fields('n', array('nid'));
$query
->condition("n.status", 1)
->condition("{$alias}.user_reg_form", 1)
->condition("{$alias}.status", 1);
$query->addTag('node_access');
$nids = $query->execute()->fetchCol();

// Allow other modules to alter the list of nids.
drupal_alter('signup_user_reg_nids', $nids);
// If there is at least one node, add the Signup fieldset.
if (!empty($nids)) {
$form['signup'] = array(
'#type' => 'fieldset',
'#title' => t('Event signup'),
'#tree' => TRUE,
'#description' => t('You will be automatically signed up once your account is created.'),
);
// Each node gets a checkbox.
foreach ($nids as $nid) {
$node = node_load($nid);
$form['signup'][$nid] = array(
'#type' => 'checkbox',
'#title' => theme('signup_node_title', array('node' => $node)),
'#default_value' => 0,
);
}
}