Question

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For a simple linear regression model yi= α + βxi + ui , i = 1

1- Suppose researchers want to know the effect of elementary school class size on students’ math scores(total score is 100), intuitively they think there exists a negative linear relationship between class size and students’ math scores. The researchers want to know the marginal effect of class size on student’s math scores.

1-1) Based on the background information, design an linear regression model for this research question, and briefly explain your dependent variable, independent variable, and the meaning of the parameters.

1-2) Briefly explain the assumptions of the classical linear regression model (CLRM)

1-3) Suppose the assumptions of the CLRM are satisfied, what properties of your estimators should be expected to have?

Answer 1