Validation tools like the W3C Markup Validation Service or Google PageSpeed Insights are helpful for objectively evaluating a website's code and performance. Google, in particular, influences an entire industry with concepts like "above the fold" and also sets strict but useful guidelines regarding image compression and caching. However, in doing so, Google can sometimes trip itself up.
Will the JavaScript tracking code
(function(i,s,o,g,r,a,m){i['GoogleAnalyticsObject']=r;i[r]=i[r]||function(){
(i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o),
m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m)
})(window,document,'script','//www.google-analytics.com/analytics.js','ga');
ga('create', 'UA-12350231-1', 'auto');
ga('send', 'pageview');
Integrated by Google Analytics on the website as officially described , Google complains about a lack of browser caching:

Unfortunately, technically this can only be corrected by the host of the file, in this case Google itself, and it is only possible to fix it with the following workaround: First you bend the URL
(window,document,'script','//www.google-analytics.com/analytics.js','ga');
to the own server to
(window,document,'script','analytics.js','ga');
and sets up a simple cron job via PHP, which downloads the latest .js file freshly to its own server every day:
file_put_contents("analytics.js", fopen("https://www.google-analytics.com/analytics.js", 'r'));
Then you can fine-tune the caching so that PageSpeed no longer criticizes the error:
