from the debug outputs, the main issue seems to be that it can't create the gnuplot file in the usr directory, and that the install-jsDATA fails, which also leads to install-am to fail, and install-recursive to fail. What can I do to fix this issue?
make install is working just fine. You're just using it incorrectly. As an ordinary user you don't have write acces to /usr/local. So either you have to install it to somewhere you do have access (e.g. below $HOME), or you have to install it as root.
None of that is in any way different from just about every Unix open source package in the world.
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from the debug outputs, the main issue seems to be that it can't create the gnuplot file in the usr directory, and that the install-jsDATA fails, which also leads to install-am to fail, and install-recursive to fail. What can I do to fix this issue?
make install is working just fine. You're just using it incorrectly. As an ordinary user you don't have write acces to /usr/local. So either you have to install it to somewhere you do have access (e.g. below $HOME), or you have to install it as root.
None of that is in any way different from just about every Unix open source package in the world.