In a previous life I ran a Conversion Rate Optimization as a Service business and optimized $100s of millions of transactions for customers across categories.
The amount of research on this topic is staggering and a lot of it dates years back like Walmart's seminal review in 2012 (1) showing the devastating impact of speed on conversion rate.
In case that's not enough for you Google set up not one, but TWO separate page speed tools to help webmasters fix this chronic problem before they just threw in the towel and took over the job for you with their AMP effort. (2)
Oh and by the way did you know that if your site speed is slow Google will penalize your SEO? And drop your Page Quality Score index resulting in higher PPC charges?
The best technical guide on the internet to addressing this problem is here - http://httpfast.com/ - and a comprehensive monitoring service built by the author here - https://www.machmetrics.com/.
(1) http://www.webperformancetoday.com/2012/02/28/4-awesome-slid...
(2) https://testmysite.thinkwithgoogle.com/ and https://developers.google.com/speed/pagespeed/insights/