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Therefore higher the percentage of students with disability, lower will be the API.
API is highly dependent on the credential of the teachers. Higher the percentage of full time teachers in a school the better will be the API. In other words higher the dependence of a school on part time teachers, lower will be its API.
In this model we want to visualize that how the parental education will affect the school performance. Ceteris Paribus, we see that Y = aX1 + z where z is a constant and a>0. If we want to plot this relation we have to measure average parent education on x axis measured in unit years and API being dependent variable on y axis. API is a unit free measure. The curve will be an upward sloping curve with a slope of dY/dX1 = a. Here we have done a cross sectional study with API of ten schools. API of year 2000 has been recorded and average parent education across various schools has been recorded.
Now in this model we want to see how the API gets affected if we introduce a third variable say average class size. If the average class size increases, given the average parental education factor unchanged, then the API will fall and the curve will shift downwards. Due to increase in class size, given a fixed number of teachers, the teacher student ratio will fall leading to a poor academic growth of the students and lower API. The data and the diagram below show the effect. Here API 2000_revised is the API with new variable
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