You mention that you want some sort of line plot but I don't see a very clear definition of what the plot should look like for your example code:
proc timeplot data=enroll_comb_new;
plot Calculations_first_attempt=full_name/
ref=87.49 refchar='*' joinref axis=1 to 100 by 2;
where full_name ="&&E&I";
proc timeplot data=enroll_comb_new;
plot Law_grade_weight=full_name/
ref=3.30 refchar='*' joinref axis=1 to 4 by .05;
where full_name ="&&E&I";
proc timeplot data=enroll_comb_new;
plot Overall_SS=full_name/
ref=340.41 refchar='*' joinref axis=1 to 700 by 14;
where full_name ="&&E&I";
Can you provide some dummy data for maybe two students that we can plot with the above code? Supply the data in the form of data step code .
The main reason timeplot exists is for the days of character graphics and was the procedure that could use fanfold or roll paper to create either longer graphs than would fit across pages using such as Proc Plot or to show the data label with the row. Did you use timeplot because you wanted bigger plots than were fitting on page?
I don't see why proc sgplot can't create something.
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