We will be examining data by each math course. Figure 1.1 displays a list of the five Arcadia math courses students could be placed in (not including MA95 and MA100) and their corresponding sample space. Our total sample space is 575 students.

Our models will include the GPA as the dependent variable. In our case, the GPA value represents the student’s grade in their first Arcadia math course. GPA of students range from 0 (F) to 4.0 (A+). If a student withdrew from the course, we assigned them a 0.7 GPA and students who withdrew while failing were assigned a 0 GPA. These assumptions were made specifically for our study.

Our independent variables (or predictor variables) are math SAT scores, Arcadia’s math placement test scores, and CalcHS. Math SAT scores are a numerical value with a range of 200-800. Arcadia’s math placement test is expanded into 3 different variables. These variables represent the three sections of the placement test which are pre-algebra, algebra, and pre-calculus. The values of each section represent the number of correctly answered questions. The pre-algebra section consists of 10 questions, the algebra section consists of 25 questions, and the pre-calculus section consists of 8 questions. CalcHS variable consists of two different values: 1 and 0. A “1” in CalcHS represents a student who took Calculus I in high and scored at least a B-. A “0” in CalcHS represents a student who did not take Calculus in high school or they scored less than a B- in high school Calculus.

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