Consider relating individual performance on a standardized test, score, to a variety of other variables. School factors include average class size, per student expenditures, average teacher compensation, and total school enrollment. Other variables specific to the student are family income, mother's education, father's education, and number of siblings. The model is
Score = βo + β1classize + β2expend + β3tchcomp + β4enroll + β5faminc + β6motheduc + β7fatheduc + β8siblings + u
State the null hypothesis that student-specific variables have no effect on standardized test performance, once school-related factors have been controlled for. What are k and q for this example? Write down the restricted version of the model.