Should I let my Apache server compress automatically site information?

[Naghirniac]

My internet service provider has an option to let Apache compress site information. They give you two options: compress all content or  compress only the MIME type specific.

This is good for SEO?

[Highland]

Compression (gzip specifically) only affects bandwidth consumption. The user agent has to support decompressing the data for it to work so there's no affect on any user agent that doesn't support it. The only downside is that compression does require more work on the part of your web server so if your website is slow it might make it a bit slower.

Googlebot supports gzip

Website:  My apologies for scrutinizing your style, Googlebot, but I noticed your Accept-Encoding headers say:
Accept-Encoding: gzip,deflate

Can you explain these headers to me?

Googlebot:  Sure. All major search engines and web browsers support gzip compression for content to save bandwidth. Other entries that you might see here include "x-gzip" (the same as "gzip"), "deflate" (which we also support), and "identity" (none).

[Naghirniac]

Does this compression impact pagespeed in a positive way?