After reading the econometric analysis of test scores and class size, and educator comments, “In my experience, student performance depends on class…

After reading the econometric analysis of test scores and class size, and educator comments, “In my experience, student performance depends on class size, but not in the way your regressions say. Rather, students do well when class size is less than 20 students and do very poorly when class size is greater than 25. There are no gains from reducing class size below 20 students, the relationship is constant in the intermediate range between 20 and 25 students, and there is no loss to increasing class size when it is already greater than 25.” The educator is describing a “threshold effect” in which performance is constant for class sizes less than 20, then jumps and is constant for class sizes between 20 and 25, and then jumps again for class sizes greater than 25. To model these threshold effects, define the binary variables