How to install Drupal without interaction via web UI?
You can Install Drupal using Drush without interacting WEB UI.
You have to use following command 

drush dl drupal-7.x --drupal-project-rename=D7
cd D7
drush site-install standard --account-name=admin --account-pass=admin --db-url=mysql://YourMySQLUser:YourMySQLPassword@localhost/YourMySQLDatabase


Ofcourse You have to install Drush if not already installed and change Mysql Database details in command as per details. 

Choose installation profile that you want to install 

site-install standard OR site-install minimal