I am currently using logistic regression to National Achievement Test(a performance exam for students,NAT -GRADE-REMARKS the Y axis) and their scholastic grade(In the example above 2CLPW(21st Century Literature in the Philippines and the World)-(Grade 12)-Q1(Quarter 1), the x Axis).I am using Rapidminer.
I wanted to know the likelihood of students to Pass the National Achievement Test or to get VLM or LM. For my example in the image above the category in the National Achievement Test is VLM(Very Low Mastery) which is set to 1 and the LM(Low Master) Set to 0. VLM and LM are the only categories all the student gets.
I wanted to know the maximum likelihood in this graph in order to fit a S like line (sigmoid function).Can I fit a sigmoid S shape? If there are no relationship then that means I can't fit an S shape line right? I just really dont know how to interpret the scatterplot above. Do I need to zoom it out? I really cant interpret it.Green is Very Low Mastery, Blue is Low Mastery