Students in Average Midpoint of Values Operating Number of Schools Daily Attendance in Column A Expenditure per in Sample Student (A) (B (C) (D) 143-200 171 $531.9 6 201-300 250 480.8 12 301-400 350 446.3 19 401-500 450 426.9 17 501-600 550 442.6 14 601-700 650 413.1 13 701-900 800 374.3 9 901-1100 1000 433.2 6 1101-1600 1350 407.3 6 1601-2400 2000 405.6 7 Questions: 14. What kind of mathematical relationship would appear to exist between enrollment and operating expenditures per student? In other words, do operating expenditures per student appear to (i) be constant (and independent of enrollment), (ii) follow a linear relationship as enrollment increases, or (iii) follow some sort of nonlinear U-shape (possibly quadratic) relationship as enrollment increases? Now consider the following additional information: As part of this study, the following cost function was developed: C = f(Q, Xi, Xz, X3, X4, Xs) Where C = operating expenditures per student in average daily attendance (measured in dollars) Q = enrollment (number of students in average daily attendance) X1 = average teacher salary X2 = number of credit units ("courses") offered X3 = average number of courses taught per teacher X4 = change in enrollment between 1957 and 1960