An attempt was made to construct a regression model explaining student scores in intermediate economics courses (Waldauer, Duggal, and Williams 1992). The population regression model assumed that
Y = total student score in intermediate economics courses
X1 = mathematics score on Scholastic Aptitude Test
X2 = verbal score on Scholastic Aptitude Test
X3 = grade in college algebra (A = 4, B = 3, C = 2, D = 1)
X4 = grade in college principles of economics course
X5 = dummy variable taking the value 1 if the student is female and 0 if male
X6 = dummy variable taking the value 1 if the instructor is male and 0 if female
X7 = dummy variable taking the value 1 if the student and instructor are the same gender and 0 otherwise
This model was fitted to data on 262 students. Next we report t-ratios, so that tj is the ratio of the estimate of bj to its associated estimated standard error. These ratios are as follows:
t1 = 4.69, t2 = 2.89, t3 = 0.46, t4 = 4.90,
t5 = 0.13, t6 = -1.08, t7 = 0.88
The objective of this study was to assess the impact of the gender of student and instructor on performance. Write a brief report outlining what has been learned about this issue.