It looks like the sub returns a hash ref, and you try to store it in a hash.
There are two ways around it
# 1) store it in a reference:
my $hashref = correlation(\@primarys_array, @secondarys_array);
# 2) deference it and store it in a hash:
my %hash = %{ correlation(\@primarys_array, @secondarys_array) };
I recommend the first one, though.
See perlreftut for more details.
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