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Newsgroups: comp.graphics.apps.gnuplot
Date: Sat, 14 Oct 2017 16:48:24 -0700 (PDT)
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Subject: Re: Install issue: fatal error: QtCore: No such file or directory #include <QtCore>
From: Lawrence Bottorff <borgauf@gmail.com>
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Xref: csiph.com comp.graphics.apps.gnuplot:3774

I don't have 

lib64qt5widgets-devel 
lib64qt5network-devel 
lib64qt5core-devel 
lib64qt5gui-devel 
lib64qt5svg-devel 
lib64qt5printsupport-devel

and Ubuntu doesn't seem to offer these. What Linux are you using?