After configuring Analytics the module loads no data, the error details saved in App_Data/Sitefinity/Logs/Trace.log has the below info:

Message: Analytics Module: System.Net.WebException: The underlying connection was closed: An unexpected error occurred on a send. ---> System.IO.IOException: Authentication failed because the remote party has closed the transport stream.
at System.Net.Security.SslState.StartReadFrame(Byte[] buffer, Int32 readBytes, AsyncProtocolRequest asyncRequest)
at System.Net.Security.SslState.StartReceiveBlob(Byte[] buffer, AsyncProtocolRequest asyncRequest)
at System.Net.Security.SslState.StartSendBlob(Byte[] incoming, Int32 count, AsyncProtocolRequest asyncRequest)
at System.Net.Security.SslState.ForceAuthentication(Boolean receiveFirst, Byte[] buffer, AsyncProtocolRequest asyncRequest)
at System.Net.Security.SslState.ProcessAuthentication(LazyAsyncResult lazyResult)
at System.Threading.ExecutionContext.RunInternal(ExecutionContext executionContext, ContextCallback callback, Object state, Boolean preserveSyncCtx)
at System.Threading.ExecutionContext.Run(ExecutionContext executionContext, ContextCallback callback, Object state, Boolean preserveSyncCtx)
at System.Threading.ExecutionContext.Run(ExecutionContext executionContext, ContextCallback callback, Object state)
at System.Net.TlsStream.ProcessAuthentication(LazyAsyncResult result)
at System.Net.TlsStream.Write(Byte[] buffer, Int32 offset, Int32 size)
at System.Net.ConnectStream.WriteHeaders(Boolean async)
--- End of inner exception stack trace ---
at System.Net.HttpWebRequest.GetRequestStream(TransportContext& context)
at System.Net.HttpWebRequest.GetRequestStream()
at Telerik.Sitefinity.Analytics.Server.GoogleAnalyticsPlugin.Requesters.GoogleTokenManager.SendPostToGoogle(GoogleTokensObject& responseObject, Byte[] contentsToSend)
at Telerik.Sitefinity.Analytics.Server.GoogleAnalyticsPlugin.Requesters.GoogleTokenManager.RefreshToken(IGoogleTokenInfo oldToken)

When Sitefinity builds the HTTP request to send to google trying to obtain authentication token from google analytics the request is discarded because it doesn`t support the TLS version used at the machine where site runs.

Why the machine (OS) is important in this?
Because the web request made to google is done using .NET API and it uses the operating system settings for this.
Add the below in Global.asax

protected void Application_BeginRequest(object sender, EventArgs e)
{
System.Net.ServicePointManager.SecurityProtocol = System.Net.SecurityProtocolType.Ssl3
| System.Net.SecurityProtocolType.Tls
| System.Net.SecurityProtocolType.Tls11
| System.Net.SecurityProtocolType.Tls12;
}