gzip Compression

to enable gzip there are a lot of options. It depends on your Internet Service Provider what options he allows you to set via php.ini or htaccess.
I often do it via htaccess file on the wordpress root (the htaccess file is a hidden file with a dot on front – so on ftp client you might not see it directly till you enable show hidden files)
there you can set a lot of other options : f.e. browser caching , etag and gzip

on apache servers i add to my htaccess file:

# Secure your wp-config
# Disallow access to important files
<FilesMatch "(^\.|wp-config\.php|xmlrpc\.php|(?<!robots)\.txt|(liesmich|readme)\.*)">
   Require all denied
</FilesMatch>

# secure htaccess-file
<files ~ "^.*\.([Hh][Tt][Aa])">
order allow,deny
deny from all
satisfy all
</files>

# Keep-Alive
<ifModule mod_headers.c>
   Header set Connection keep-alive
</ifModule>
 

# mime types
<IfModule mod_mime.c>
    AddType application/javascript          js
    AddType application/vnd.ms-fontobject   eot
    AddType application/x-font-ttf          ttf ttc
    AddType font/opentype                   otf
    AddType application/x-font-woff         woff
    AddType application/x-woff              woff
    AddType image/svg+xml                   svg svgz 
    AddEncoding gzip                        svgz
</Ifmodule>
 

# GZip Kompression
<IfModule mod_gzip.c>
 mod_gzip_on       Yes
 mod_gzip_dechunk  Yes
 mod_gzip_item_include file      \.(html?|txt|css|js|svg|php|pl)$
 mod_gzip_item_include handler   ^cgi-script$
 mod_gzip_item_include mime      ^text/.*
 mod_gzip_item_include mime      ^application/x-javascript.*
 mod_gzip_item_exclude mime      ^image/.*
 mod_gzip_item_exclude rspheader ^Content-Encoding:.*gzip.*
</IfModule>

 
# Browsercache
<IfModule mod_expires.c>
 ExpiresActive On
 ExpiresDefault "access plus 1 month"
 ExpiresByType text/css "access plus 1 month"
 ExpiresByType text/javascript "access plus 1 month"
 ExpiresByType text/html "access plus 1 month"
 ExpiresByType application/javascript "access plus 1 month"
 ExpiresByType application/x-javascript "access plus 1 month"
 ExpiresByType application/x-font-ttf "access plus 1 month"
 ExpiresByType application/x-font-woff "access plus 1 month"
 ExpiresByType application/x-woff "access plus 1 month"
 ExpiresByType application/xhtml-xml "access plus 600 seconds"
 ExpiresByType image/gif "access plus 1 month"
 ExpiresByType image/jpeg "access plus 1 month"
 ExpiresByType image/svg+xml "access plus 1 year"
 ExpiresByType image/svg "access plus 1 year“
 ExpiresByType image/png "access plus 1 month"
 ExpiresByType image/x-icon "access plus 1 month"
</IfModule>

 
# Deflate by FileType
<IfModule mod_deflate.c>
 AddOutputFilterByType DEFLATE text/plain
 AddOutputFilterByType DEFLATE text/html
 AddOutputFilterByType DEFLATE text/xml
 AddOutputFilterByType DEFLATE text/css
 AddOutputFilterByType DEFLATE text/javascript
 AddOutputFilterByType DEFLATE image/svg+xml
 AddOutputFilterByType DEFLATE application/javascript
 AddOutputFilterByType DEFLATE application/xml
 AddOutputFilterByType DEFLATE application/xhtml+xml
 AddOutputFilterByType DEFLATE application/rss+xml
 AddOutputFilterByType DEFLATE application/atom_xml
 AddOutputFilterByType DEFLATE application/x-woff
 AddOutputFilterByType DEFLATE application/x-font-ttf
 AddOutputFilterByType DEFLATE application/x-font-woff
 AddOutputFilterByType DEFLATE application/javascript
 AddOutputFilterByType DEFLATE application/x-javascript
 AddOutputFilterByType DEFLATE application/x-shockwave-flash
</IfModule>
 
# ETag
Header unset ETag
FileETag None

i think if that are the results of his page basilis posted then there are no troubles at all